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This document discusses exponents and exponential expressions. It defines exponents as the number of times a base is multiplied by itself. It provides examples of evaluating exponential expressions by multiplying the base the number of times indicated by the exponent. It also covers properties of exponents such as when multiplying or dividing exponential expressions with the same base.

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Teacher Lecture

The document discusses exponents and order of operations. It defines exponents as indicating how many times the base is used as a factor. It provides examples of evaluating exponential expressions by writing repeated factors with exponents. Rules for exponents include: any number to the power of 0 equals 1; any number to the power of 1 equals the number; and multiplying exponents when the bases are the same. The order of operations is explained as: exponents, multiplication/division from left to right, and addition/subtraction from left to right. Grouping symbols like parentheses and fraction bars dictate that operations within are completed first. Several examples demonstrate applying these rules to simplify expressions.

Exponents and powers

The document discusses exponents and their meanings. It provides examples of evaluating expressions with exponents, such as 24 = 16, 23 = 8, and 20 = 1. As the exponent gets smaller, the answer gets smaller. Exponents are sometimes referred to as powers, and the exponent tells you how many times to multiply the base by itself.

Linear Equation in one variable - Class 8 th Maths

this ppt give you concepts about the chapter linear equation in one variable class 8th . it wil clear all your doubts.

Exponents and power

The document discusses exponents and powers in mathematics. It defines key terms like base, exponent, and power. It provides examples of exponents like 22 = 4 (two squared) and 23 = 8 (two cubed). It notes rules for exponents like when the exponent is 1 the number is the same as the base, and when the exponent is 0 the answer is 1 except for when the base is 0. The document also discusses properties of exponents like product of powers, power to a power, power of product, and addition/multiplication of exponents.

Class9 number system

Rational numbers are numbers that can be represented as fractions p/q where p and q are integers and q is not equal to 0, such as 2/5 or 4/7. Irrational numbers are numbers that cannot be represented as fractions, such as √2 or √3, and their decimal representations are non-terminating and non-repeating. Real numbers include both rational and irrational numbers and can all be represented as unique points on a number line, with rational numbers having either terminating or non-terminating repeating decimals and irrational numbers having non-terminating, non-repeating decimals.

Maths ppt on algebraic expressions and identites

This document discusses algebraic expressions and identities. It defines expressions as combinations of numbers and variables connected by operation signs. Expressions can be monomials containing one term, binomials containing two terms, or trinomials containing three terms. Terms are separated parts of expressions and factors are the numbers within terms. Coefficients are factors without signs. The document also covers adding, subtracting and multiplying expressions, as well as defining identities as equalities that are true for all variable values. It provides examples of standard identities for the sum and difference of squares and multiplying the sum and difference of two terms.

Rational and irrational numbers

This document discusses rational and irrational numbers. It defines rational numbers as numbers that can be written as p/q where p and q are integers and q is not equal to 0. Rational numbers include fractions, integers, and natural numbers. The document describes the different types of rational numbers such as positive, negative, and in standard form. It also discusses how to perform operations like addition, subtraction, multiplication, and division on rational numbers. Irrational numbers are defined as real numbers that cannot be expressed as a ratio of integers like the roots of prime numbers or pi.

Rational numbers ppt

Rational numbers are numbers that can be written as fractions p/q, where p and q are integers and q is not equal to 0. Rational numbers have important properties:
1) They are closed under addition and multiplication, meaning the sum or product of two rational numbers is also rational.
2) Operations like addition and multiplication are commutative and associative, following standard order of operations rules.
3) They follow the distributive property, where multiplying a number times the sum of two other numbers equals the sum of multiplying each number individually.
4) Each rational number has an additive inverse (its negative) and a multiplicative inverse (its reciprocal), such that adding/multiplying a number by its inverse results

Teacher Lecture

The document discusses exponents and order of operations. It defines exponents as indicating how many times the base is used as a factor. It provides examples of evaluating exponential expressions by writing repeated factors with exponents. Rules for exponents include: any number to the power of 0 equals 1; any number to the power of 1 equals the number; and multiplying exponents when the bases are the same. The order of operations is explained as: exponents, multiplication/division from left to right, and addition/subtraction from left to right. Grouping symbols like parentheses and fraction bars dictate that operations within are completed first. Several examples demonstrate applying these rules to simplify expressions.

Exponents and powers

The document discusses exponents and their meanings. It provides examples of evaluating expressions with exponents, such as 24 = 16, 23 = 8, and 20 = 1. As the exponent gets smaller, the answer gets smaller. Exponents are sometimes referred to as powers, and the exponent tells you how many times to multiply the base by itself.

Linear Equation in one variable - Class 8 th Maths

this ppt give you concepts about the chapter linear equation in one variable class 8th . it wil clear all your doubts.

Exponents and power

The document discusses exponents and powers in mathematics. It defines key terms like base, exponent, and power. It provides examples of exponents like 22 = 4 (two squared) and 23 = 8 (two cubed). It notes rules for exponents like when the exponent is 1 the number is the same as the base, and when the exponent is 0 the answer is 1 except for when the base is 0. The document also discusses properties of exponents like product of powers, power to a power, power of product, and addition/multiplication of exponents.

Class9 number system

Rational numbers are numbers that can be represented as fractions p/q where p and q are integers and q is not equal to 0, such as 2/5 or 4/7. Irrational numbers are numbers that cannot be represented as fractions, such as √2 or √3, and their decimal representations are non-terminating and non-repeating. Real numbers include both rational and irrational numbers and can all be represented as unique points on a number line, with rational numbers having either terminating or non-terminating repeating decimals and irrational numbers having non-terminating, non-repeating decimals.

Maths ppt on algebraic expressions and identites

This document discusses algebraic expressions and identities. It defines expressions as combinations of numbers and variables connected by operation signs. Expressions can be monomials containing one term, binomials containing two terms, or trinomials containing three terms. Terms are separated parts of expressions and factors are the numbers within terms. Coefficients are factors without signs. The document also covers adding, subtracting and multiplying expressions, as well as defining identities as equalities that are true for all variable values. It provides examples of standard identities for the sum and difference of squares and multiplying the sum and difference of two terms.

Rational and irrational numbers

This document discusses rational and irrational numbers. It defines rational numbers as numbers that can be written as p/q where p and q are integers and q is not equal to 0. Rational numbers include fractions, integers, and natural numbers. The document describes the different types of rational numbers such as positive, negative, and in standard form. It also discusses how to perform operations like addition, subtraction, multiplication, and division on rational numbers. Irrational numbers are defined as real numbers that cannot be expressed as a ratio of integers like the roots of prime numbers or pi.

Rational numbers ppt

Rational numbers are numbers that can be written as fractions p/q, where p and q are integers and q is not equal to 0. Rational numbers have important properties:
1) They are closed under addition and multiplication, meaning the sum or product of two rational numbers is also rational.
2) Operations like addition and multiplication are commutative and associative, following standard order of operations rules.
3) They follow the distributive property, where multiplying a number times the sum of two other numbers equals the sum of multiplying each number individually.
4) Each rational number has an additive inverse (its negative) and a multiplicative inverse (its reciprocal), such that adding/multiplying a number by its inverse results

NUMBER SYSTEM

This document discusses different types of number systems. It begins by introducing natural numbers, which are counting numbers formed by repeated addition of 1. Whole numbers include all natural numbers and 0. Integers extend whole numbers infinitely in both the positive and negative directions. Rational numbers are numbers that can be written as fractions p/q where p and q are integers. Irrational numbers have non-repeating decimal expansions and cannot be written as fractions. Real numbers include all rational and irrational numbers and are represented on the number line. Methods for finding rational numbers between two given numbers and representing different types of numbers on the number line are also described.

HCF and LCM

This document discusses highest common factors (HCF) and least common multiples (LCM). It defines prime numbers, co-prime numbers, and twin prime numbers. It explains that Euclid discovered any composite number can be written as the product of prime factors, in a process called factorisation. Examples of factorising numbers and using the prime factor method to find the HCF of two numbers are provided. The document recaps the key topics and asks review questions.

6th class ppt whole numbers

Whole numbers include the natural numbers (1, 2, 3, etc.) and zero. They can be represented on a number line and have important properties - zero is the smallest whole number, there are an infinite number of whole numbers, and each whole number has a unique successor and predecessor obtained by adding or subtracting 1.

Simultaneous equations

This document provides instructions for solving simultaneous equations using non-graphical methods. It demonstrates the step-by-step process of numbering the equations, eliminating variables, solving for the values of each variable, and checking the solutions in multiple examples.

Mathematics class 8

Rational numbers include integers, fractions, and numbers that can be expressed as a ratio of two integers, like p/q. Rational numbers can be positive or negative depending on whether the numerator and denominator have the same or different signs. Any rational number can be expressed in its standard form by dividing the numerator and denominator by their greatest common factor.

Exponents and powers nikita class 8

The document discusses exponents and powers. It explains that the exponent tells you how many times to use the base number in a multiplication. Positive, zero, and negative exponents follow a simple pattern. Some key laws of exponents include a0 = 1, and am × an = am+n. Examples are provided to illustrate exponent rules and evaluating expressions with exponents.

Index Notation

The document discusses index notation and how it is used to represent repeated multiplication. It covers the basic rules for multiplying and dividing terms with the same base, including adding/subtracting the indices. It also discusses zero and negative indices, and how numbers raised to the power of 0 or negative powers can be evaluated. Key rules covered are a^m × a^n = a^(m+n), a^m ÷ a^n = a^(m-n), a^0 = 1, and a^-n = 1/a^n.

Common Multiples and Common Factors

This document discusses determining common multiples and common factors of numbers. It explains that the common multiples of two numbers are the multiples that are shared between the two lists of all their individual multiples. The least common multiple is the smallest number that is a multiple of both numbers. It also explains that common factors are factors that two numbers have in common, and these can be determined by making lists of all the factors of each number and looking for the ones they share. A Venn diagram can also be used to visualize common factors between two numbers.

Linear Equation In one variable class 7

This document defines and provides examples of linear equations in one variable. It explains that a linear equation is an equation that can be written in the form ax + b = c or ax = b, where a, b, c are constants and a ≠ 0. Examples of linear equations given include 3x + 9 = 0 and 7x + 5 = 2x - 9. The document also discusses how to determine if a value is a solution to a linear equation by substitution and simplification. Steps for solving linear equations are provided, which include isolating the variable using inverse operations like addition/subtraction and multiplication/division.

Polynomials (Algebra) - Class 10

This PPT explains the concept of polynomial in detail. It describes the meaning of polynomials with the help of different examples.Furthermore different types of polynomials on the basis of degree and number of terms.This will be helpful for students and for teachers.

Real numbers

Real numbers include all numbers that can be used in everyday life and represented on the number line. They comprise integers, rational numbers like fractions, irrational numbers with non-repeating decimals, natural numbers starting at 1, and whole numbers including 0. Integers include natural numbers and their negatives. Rational numbers can be written as fractions, while irrational numbers have non-repeating decimals. Order of operations and properties like commutativity, associativity, and distributivity govern mathematical operations on real numbers.

Factorising Common Factors

This document discusses finding the common factor of algebraic expressions. It explains that to find the common factor, one must break down all numbers within the expressions into their prime number factors. The common factors that are present in both expressions are then written outside of parentheses, while the remaining terms are written inside. Several examples are provided of factorizing expressions using this process of identifying common prime factors. The "highest common factor" refers to the largest common factor present outside of the parentheses.

Distributive Property

The document discusses three methods for solving the numeric expression 2(4+3):
1) Using the order of operations (BODMAS/PEMDAS) to evaluate the expression inside the parentheses first before multiplying.
2) Changing multiplication to addition by thinking of it as having "lots of" something.
3) Using the distributive property, where the number outside the parentheses is distributed across each term inside the parentheses.

Famous conjectures

This document lists and describes 5 famous unproven conjectures in mathematics:
1) Fermat's Last Theorem, which states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two.
2) Goldbach's Conjecture, which states that every even integer greater than 2 can be expressed as the sum of two primes.
3) The twin prime conjecture, which states that there are infinitely many prime numbers p such that p+2 is also prime.
4) Legendre's conjecture, which states that there is a prime number between n^2 and (n + 1)^2 for every positive integer n.

Real Numbers

The document defines several subsets of real numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It provides examples for each set and discusses their properties. Rational numbers can be expressed as terminating or repeating decimals while irrational numbers are expressed as non-terminating, non-repeating decimals. The document also covers topics like the Euclid division algorithm, fundamental theorem of arithmetic, finding the highest common factor and least common multiple of numbers.

Directed number

This document provides instruction on adding, subtracting, multiplying, and dividing numbers with negative signs. It begins by defining positive and negative numbers on a number line. It then demonstrates how to perform each operation with positive and negative numbers through examples. Rules are provided for multiplying and dividing with signs, such as two positives or a positive and negative multiplying to a positive or negative. The document encourages practicing these concepts through exercises in a textbook. Overall, it teaches the essential rules and mechanics for performing the basic arithmetic operations with positive and negative numbers.

Class IX - Polynomials PPT

This is a PPT created and developed by Alankrit Wadhwa of Army Public School, Pune. He made this PPT with great effort and is credible for the same. I hope this PPT makes this chapter a lot more fun and easier to understand.

CLASS X MATHS Polynomials

- Polynomials are expressions constructed from variables and constants with non-negative whole number exponents.
- The degree of a polynomial is the highest exponent among its terms. Zeroes are values that make the polynomial equal to zero.
- There is a relationship between the number of zeroes a polynomial can have and its degree. Linear polynomials have at most 1 zero, quadratics have at most 2 zeros, and cubics have at most 3 zeros.
- The coefficients of a polynomial are related to its zeroes through formulas involving the sum and product of the zeroes.

Unit 05 number line

A number line is used to represent numbers, with values increasing from left to right. The difference between any two consecutive numbers is 1. Negative numbers are represented on the left side of 0, with the same spacing as positive numbers to the right. Numbers to the left of 0 are called negative numbers and denoted with a negative sign (-), while numbers to the right are positive. Zero is neither positive nor negative. Positive, negative, and zero numbers together are called integers. Integers can be compared using inequality signs like > and <, and integers between two non-consecutive numbers can be identified on the number line.

Amazing Math Tips & Tricks

This document presents several math tricks for operations like squaring two-digit numbers ending in 5, multiplying numbers by 4, 5, 11, 15, and dividing numbers. It explains tricks for squaring numbers like 35 by multiplying the first digit by the next number and adding 25. For multiplication, it offers tricks like doubling a number twice to multiply by 4, or halving and multiplying by 10 to multiply by 5. Divisibility checks are also explained for numbers like 11 by alternating addition and subtraction of digits. Practice of the tricks is recommended to master them. In the end, the reader is challenged to add a series of numbers as a math trick, but mistakenly answers 5000 instead of the correct answer of 4100.

How to deliver Powerpoint Presentations.pptx

"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"

Chapter wise All Notes of First year Basic Civil Engineering.pptx

Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1

NUMBER SYSTEM

This document discusses different types of number systems. It begins by introducing natural numbers, which are counting numbers formed by repeated addition of 1. Whole numbers include all natural numbers and 0. Integers extend whole numbers infinitely in both the positive and negative directions. Rational numbers are numbers that can be written as fractions p/q where p and q are integers. Irrational numbers have non-repeating decimal expansions and cannot be written as fractions. Real numbers include all rational and irrational numbers and are represented on the number line. Methods for finding rational numbers between two given numbers and representing different types of numbers on the number line are also described.

HCF and LCM

This document discusses highest common factors (HCF) and least common multiples (LCM). It defines prime numbers, co-prime numbers, and twin prime numbers. It explains that Euclid discovered any composite number can be written as the product of prime factors, in a process called factorisation. Examples of factorising numbers and using the prime factor method to find the HCF of two numbers are provided. The document recaps the key topics and asks review questions.

6th class ppt whole numbers

Whole numbers include the natural numbers (1, 2, 3, etc.) and zero. They can be represented on a number line and have important properties - zero is the smallest whole number, there are an infinite number of whole numbers, and each whole number has a unique successor and predecessor obtained by adding or subtracting 1.

Simultaneous equations

This document provides instructions for solving simultaneous equations using non-graphical methods. It demonstrates the step-by-step process of numbering the equations, eliminating variables, solving for the values of each variable, and checking the solutions in multiple examples.

Mathematics class 8

Rational numbers include integers, fractions, and numbers that can be expressed as a ratio of two integers, like p/q. Rational numbers can be positive or negative depending on whether the numerator and denominator have the same or different signs. Any rational number can be expressed in its standard form by dividing the numerator and denominator by their greatest common factor.

Exponents and powers nikita class 8

The document discusses exponents and powers. It explains that the exponent tells you how many times to use the base number in a multiplication. Positive, zero, and negative exponents follow a simple pattern. Some key laws of exponents include a0 = 1, and am × an = am+n. Examples are provided to illustrate exponent rules and evaluating expressions with exponents.

Index Notation

The document discusses index notation and how it is used to represent repeated multiplication. It covers the basic rules for multiplying and dividing terms with the same base, including adding/subtracting the indices. It also discusses zero and negative indices, and how numbers raised to the power of 0 or negative powers can be evaluated. Key rules covered are a^m × a^n = a^(m+n), a^m ÷ a^n = a^(m-n), a^0 = 1, and a^-n = 1/a^n.

Common Multiples and Common Factors

This document discusses determining common multiples and common factors of numbers. It explains that the common multiples of two numbers are the multiples that are shared between the two lists of all their individual multiples. The least common multiple is the smallest number that is a multiple of both numbers. It also explains that common factors are factors that two numbers have in common, and these can be determined by making lists of all the factors of each number and looking for the ones they share. A Venn diagram can also be used to visualize common factors between two numbers.

Linear Equation In one variable class 7

This document defines and provides examples of linear equations in one variable. It explains that a linear equation is an equation that can be written in the form ax + b = c or ax = b, where a, b, c are constants and a ≠ 0. Examples of linear equations given include 3x + 9 = 0 and 7x + 5 = 2x - 9. The document also discusses how to determine if a value is a solution to a linear equation by substitution and simplification. Steps for solving linear equations are provided, which include isolating the variable using inverse operations like addition/subtraction and multiplication/division.

Polynomials (Algebra) - Class 10

This PPT explains the concept of polynomial in detail. It describes the meaning of polynomials with the help of different examples.Furthermore different types of polynomials on the basis of degree and number of terms.This will be helpful for students and for teachers.

Real numbers

Real numbers include all numbers that can be used in everyday life and represented on the number line. They comprise integers, rational numbers like fractions, irrational numbers with non-repeating decimals, natural numbers starting at 1, and whole numbers including 0. Integers include natural numbers and their negatives. Rational numbers can be written as fractions, while irrational numbers have non-repeating decimals. Order of operations and properties like commutativity, associativity, and distributivity govern mathematical operations on real numbers.

Factorising Common Factors

This document discusses finding the common factor of algebraic expressions. It explains that to find the common factor, one must break down all numbers within the expressions into their prime number factors. The common factors that are present in both expressions are then written outside of parentheses, while the remaining terms are written inside. Several examples are provided of factorizing expressions using this process of identifying common prime factors. The "highest common factor" refers to the largest common factor present outside of the parentheses.

Distributive Property

The document discusses three methods for solving the numeric expression 2(4+3):
1) Using the order of operations (BODMAS/PEMDAS) to evaluate the expression inside the parentheses first before multiplying.
2) Changing multiplication to addition by thinking of it as having "lots of" something.
3) Using the distributive property, where the number outside the parentheses is distributed across each term inside the parentheses.

Famous conjectures

This document lists and describes 5 famous unproven conjectures in mathematics:
1) Fermat's Last Theorem, which states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two.
2) Goldbach's Conjecture, which states that every even integer greater than 2 can be expressed as the sum of two primes.
3) The twin prime conjecture, which states that there are infinitely many prime numbers p such that p+2 is also prime.
4) Legendre's conjecture, which states that there is a prime number between n^2 and (n + 1)^2 for every positive integer n.

Real Numbers

The document defines several subsets of real numbers including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. It provides examples for each set and discusses their properties. Rational numbers can be expressed as terminating or repeating decimals while irrational numbers are expressed as non-terminating, non-repeating decimals. The document also covers topics like the Euclid division algorithm, fundamental theorem of arithmetic, finding the highest common factor and least common multiple of numbers.

Directed number

This document provides instruction on adding, subtracting, multiplying, and dividing numbers with negative signs. It begins by defining positive and negative numbers on a number line. It then demonstrates how to perform each operation with positive and negative numbers through examples. Rules are provided for multiplying and dividing with signs, such as two positives or a positive and negative multiplying to a positive or negative. The document encourages practicing these concepts through exercises in a textbook. Overall, it teaches the essential rules and mechanics for performing the basic arithmetic operations with positive and negative numbers.

Class IX - Polynomials PPT

This is a PPT created and developed by Alankrit Wadhwa of Army Public School, Pune. He made this PPT with great effort and is credible for the same. I hope this PPT makes this chapter a lot more fun and easier to understand.

CLASS X MATHS Polynomials

- Polynomials are expressions constructed from variables and constants with non-negative whole number exponents.
- The degree of a polynomial is the highest exponent among its terms. Zeroes are values that make the polynomial equal to zero.
- There is a relationship between the number of zeroes a polynomial can have and its degree. Linear polynomials have at most 1 zero, quadratics have at most 2 zeros, and cubics have at most 3 zeros.
- The coefficients of a polynomial are related to its zeroes through formulas involving the sum and product of the zeroes.

Unit 05 number line

A number line is used to represent numbers, with values increasing from left to right. The difference between any two consecutive numbers is 1. Negative numbers are represented on the left side of 0, with the same spacing as positive numbers to the right. Numbers to the left of 0 are called negative numbers and denoted with a negative sign (-), while numbers to the right are positive. Zero is neither positive nor negative. Positive, negative, and zero numbers together are called integers. Integers can be compared using inequality signs like > and <, and integers between two non-consecutive numbers can be identified on the number line.

Amazing Math Tips & Tricks

This document presents several math tricks for operations like squaring two-digit numbers ending in 5, multiplying numbers by 4, 5, 11, 15, and dividing numbers. It explains tricks for squaring numbers like 35 by multiplying the first digit by the next number and adding 25. For multiplication, it offers tricks like doubling a number twice to multiply by 4, or halving and multiplying by 10 to multiply by 5. Divisibility checks are also explained for numbers like 11 by alternating addition and subtraction of digits. Practice of the tricks is recommended to master them. In the end, the reader is challenged to add a series of numbers as a math trick, but mistakenly answers 5000 instead of the correct answer of 4100.

NUMBER SYSTEM

NUMBER SYSTEM

HCF and LCM

HCF and LCM

6th class ppt whole numbers

6th class ppt whole numbers

Simultaneous equations

Simultaneous equations

Mathematics class 8

Mathematics class 8

Exponents and powers nikita class 8

Exponents and powers nikita class 8

Index Notation

Index Notation

Common Multiples and Common Factors

Common Multiples and Common Factors

Linear Equation In one variable class 7

Linear Equation In one variable class 7

Polynomials (Algebra) - Class 10

Polynomials (Algebra) - Class 10

Real numbers

Real numbers

Factorising Common Factors

Factorising Common Factors

Distributive Property

Distributive Property

Famous conjectures

Famous conjectures

Real Numbers

Real Numbers

Directed number

Directed number

Class IX - Polynomials PPT

Class IX - Polynomials PPT

CLASS X MATHS Polynomials

CLASS X MATHS Polynomials

Unit 05 number line

Unit 05 number line

Amazing Math Tips & Tricks

Amazing Math Tips & Tricks

How to deliver Powerpoint Presentations.pptx

"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"

Chapter wise All Notes of First year Basic Civil Engineering.pptx

Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1

How to Setup Warehouse & Location in Odoo 17 Inventory

In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.

RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students

Physical pharmaceutics notes for B.pharm students

Standardized tool for Intelligence test.

ASSESSMENT OF INTELLIGENCE USING WITH STANDARDIZED TOOL

Pharmaceutics Pharmaceuticals best of brub

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Temple of Asclepius in Thrace. Excavation results

The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).

skeleton System.pdf (skeleton system wow)

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تتميز هذهِ الملزمة بعِدة مُميزات :
1- مُترجمة ترجمة تُناسب جميع المستويات
2- تحتوي على 78 رسم توضيحي لكل كلمة موجودة بالملزمة (لكل كلمة !!!!)
#فهم_ماكو_درخ
3- دقة الكتابة والصور عالية جداً جداً جداً
4- هُنالك بعض المعلومات تم توضيحها بشكل تفصيلي جداً (تُعتبر لدى الطالب أو الطالبة بإنها معلومات مُبهمة ومع ذلك تم توضيح هذهِ المعلومات المُبهمة بشكل تفصيلي جداً
5- الملزمة تشرح نفسها ب نفسها بس تكلك تعال اقراني
6- تحتوي الملزمة في اول سلايد على خارطة تتضمن جميع تفرُعات معلومات الجهاز الهيكلي المذكورة في هذهِ الملزمة
واخيراً هذهِ الملزمة حلالٌ عليكم وإتمنى منكم إن تدعولي بالخير والصحة والعافية فقط
كل التوفيق زملائي وزميلاتي ، زميلكم محمد الذهبي 💊💊
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How to Predict Vendor Bill Product in Odoo 17

This slide will guide us through the process of predicting vendor bill products based on previous purchases from the vendor in Odoo 17.

How Barcodes Can Be Leveraged Within Odoo 17

In this presentation, we will explore how barcodes can be leveraged within Odoo 17 to streamline our manufacturing processes. We will cover the configuration steps, how to utilize barcodes in different manufacturing scenarios, and the overall benefits of implementing this technology.

A Visual Guide to 1 Samuel | A Tale of Two Hearts

These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.

مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf

مصحف أحرف الخلاف للقراء العشرةأعد أحرف الخلاف بالتلوين وصلا سمير بسيوني غفر الله له

Educational Technology in the Health Sciences

Plenary presentation at the NTTC Inter-university Workshop, 18 June 2024, Manila Prince Hotel.

Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt

The History of NZ 1870-1900.
Making of a Nation.
From the NZ Wars to Liberals,
Richard Seddon, George Grey,
Social Laboratory, New Zealand,
Confiscations, Kotahitanga, Kingitanga, Parliament, Suffrage, Repudiation, Economic Change, Agriculture, Gold Mining, Timber, Flax, Sheep, Dairying,

Gender and Mental Health - Counselling and Family Therapy Applications and In...

A proprietary approach developed by bringing together the best of learning theories from Psychology, design principles from the world of visualization, and pedagogical methods from over a decade of training experience, that enables you to: Learn better, faster!

Walmart Business+ and Spark Good for Nonprofits.pdf

"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"

Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...

Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh

Wound healing PPT

This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.

BBR 2024 Summer Sessions Interview Training

Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams

How to deliver Powerpoint Presentations.pptx

How to deliver Powerpoint Presentations.pptx

Chapter wise All Notes of First year Basic Civil Engineering.pptx

Chapter wise All Notes of First year Basic Civil Engineering.pptx

How to Setup Warehouse & Location in Odoo 17 Inventory

How to Setup Warehouse & Location in Odoo 17 Inventory

RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students

RHEOLOGY Physical pharmaceutics-II notes for B.pharm 4th sem students

Standardized tool for Intelligence test.

Standardized tool for Intelligence test.

Pharmaceutics Pharmaceuticals best of brub

Pharmaceutics Pharmaceuticals best of brub

Temple of Asclepius in Thrace. Excavation results

Temple of Asclepius in Thrace. Excavation results

skeleton System.pdf (skeleton system wow)

skeleton System.pdf (skeleton system wow)

How to Predict Vendor Bill Product in Odoo 17

How to Predict Vendor Bill Product in Odoo 17

How Barcodes Can Be Leveraged Within Odoo 17

How Barcodes Can Be Leveraged Within Odoo 17

A Visual Guide to 1 Samuel | A Tale of Two Hearts

A Visual Guide to 1 Samuel | A Tale of Two Hearts

مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf

مصحف القراءات العشر أعد أحرف الخلاف سمير بسيوني.pdf

Educational Technology in the Health Sciences

Educational Technology in the Health Sciences

Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt

Level 3 NCEA - NZ: A Nation In the Making 1872 - 1900 SML.ppt

Gender and Mental Health - Counselling and Family Therapy Applications and In...

Gender and Mental Health - Counselling and Family Therapy Applications and In...

Walmart Business+ and Spark Good for Nonprofits.pdf

Walmart Business+ and Spark Good for Nonprofits.pdf

Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...

Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...

Wound healing PPT

Wound healing PPT

REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf

REASIGNACION 2024 UGEL CHUPACA 2024 UGEL CHUPACA.pdf

BBR 2024 Summer Sessions Interview Training

BBR 2024 Summer Sessions Interview Training

- 3. BASE OR NUMBER ISTHE NUMBER OF TIMES MULTIPLIED BY ITSELF 2 2* 2* 2 =8
- 4. a number written as a base number with an exponent BASE EXPONENT LIKE THIS: 2 SAY 2 TO THE 5th POWER
- 5. THE REPEATED FRACTION IN A MULTIPLICATON PROBLEM BASE = POWER FACTOR * FACTOR * FACTOR = PRODUCT 2 * 2 * 2 = 8
- 6. jjj
- 7. 34 means (3333) 81 (3)4 means (3)(3)(3)(3) 81 33 means (333) 27 (3)3 means (3)(3)(3) 27
- 8. 2 SAY 2 TO THE 2ndPOWER OR TWO SQUARED MOST MATHEMATICIAN SAY TWO SQUARED 2 = 2 2 = 4
- 9. 2 SAY 2 TO THE 3rd POWER OR TWO CUBED MOST MATHEMATICIANS SAY TWO CUBED 2 = 2 2 2 =8
- 10. THE BASE IS ANY NUMBER BUT 0,THE ANSWER IS 1. 2 =1 4,638 =1 ANY NUMBER {except the number 0} =1 0 =UNDEFINED
- 11. THE ANSWER IS THE SAME NUMBER AS THE BASE NUMBER 2 =2 4,638 =4,638 ANY NUMBER =THE SAME BASE 0 =0 THE EXPONENT 1 IS USUALY INVISIBLE
- 12. xa xb xab xa ) 3 xab xa ya (xy)a PRODUCT OF POWERS ADD THR EXPONENTS POWE R TO A POWERMUTIPLY THE EXPONENTS POWER OF PRODUCT
- 13. This property is used when dividing two or more exponential expressions with the same base. (x)(x)(x) (x)(x)(x)(x)(x) x3 x5 1 (x)(x) x2 1 x4 x4 x3 4 1 1 1 x3 x4 x7 1 x x3x3
- 17. Q1}Evaluate the variable expression when x = 1, y = 2, and w = -3 ? (x)2 (y)2 22 (x) (y) (1)2 (2)2 14 5 Step 1 Step 2 Step 3 (x y)2 (x y)2 (1) (2) )2 (3)2 9 Step 1 Step 2 Step 3 wxy wxy (3)(1)2 Step 1 Step 2 Step 3 (3)(1) 3
- 18. 17 MADE BY - ARJIT MITTAL CLASS – 8B