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Matrix Multiplication (University presentation slide)
Matrix multiplication involves multiplying matrices according to certain rules. A matrix is a rectangular layout of numbers arranged in rows and columns. To multiply matrices, each element in a row of the first matrix is multiplied by the corresponding element in a column of the second matrix and those products are summed to form the element of the product matrix in that row and column. Matrix multiplication is useful in many fields including business, data analysis, geology, and robotics.
Fractions
1. The document contains math word problems involving fractions, decimals, percentages, and conversions between fractional, decimal, and percentage representations.
2. Questions ask the learner to solve problems like finding fractions of shapes shaded in diagrams, performing calculations with decimals, finding percentages of quantities, and converting between fractional, decimal, and percentage forms.
3. The problems cover a range of skills including fraction-decimal conversions, percentage calculations, multi-step word problems, and missing value questions.
Basic facts ladder homework books
This document outlines a mathematics skills progression ladder with 63 stages ranging from basic counting and number recognition skills to more advanced skills involving decimals, factors, rounding, and division. The stages are grouped into 8 levels (stages 0-1, 2-3, 5, 6, 7, 8) and describe the mathematical concepts and skills expected at each progression point such as knowing number patterns, addition and subtraction combinations, multiplication and division facts, fractions, and operations with decimals.
2.8 coord. plane 1
The document provides examples and explanations for using the coordinate plane:
- It defines the key elements of the coordinate plane including the x-axis, y-axis, origin, quadrants, and ordered pairs used to identify points.
- An example shows how to plot the point (4, -2) by moving right 4 units and down 2 units from the origin.
- Another example solves a multi-step problem to find the perimeter of a rectangular region on a coordinate plane by identifying the coordinates of its vertices and calculating the length and width.
Maths
This document provides an overview of basic arithmetic concepts including the four fundamental operations of addition, subtraction, multiplication, and division. It begins with an introduction to terminology like digits, numbers, and number lines. It then covers the different types of numbers such as whole numbers, fractions, and decimals. The bulk of the document focuses on explaining each operation through examples and practice problems with step-by-step workings. Check methods for addition and subtraction are also demonstrated. The goal is to establish a foundational understanding of elementary arithmetic.
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The document discusses squares and square roots, explaining that a square number is the product of a whole number multiplied by itself, and can be represented by arranging objects in a square pattern. It provides examples of calculating square roots by factoring numbers into smaller perfect squares. The document also describes how to estimate square roots for non-perfect squares by interpolating between the adjacent perfect square numbers.
How To Find The Area Of An Unusual Shape
The document explains how to find the area of an unusual shape made up of two rectangles. It shows calculating the area of each rectangle and then adding them together to find the total area. The area of the blue rectangle is calculated as 45 x 35 = 1575 square units. The area of the pink rectangle is 22 x 20 = 440 square units. The total area is found by adding these numbers: 1575 + 440 = 2015 square units.
Sept. 21, 2012
The document provides information about absolute values and the real number system. It includes:
- Definitions of rational numbers, integers, whole numbers, natural numbers, and irrational numbers.
- Examples of absolute value and how it measures the distance from zero, including that operations inside the absolute value signs must be done first before taking the absolute value.
- Class work assignments on opposites and absolute values problems from pages 17-18 including a mixed review.
Recommended
Matrix Multiplication (University presentation slide)
Matrix multiplication involves multiplying matrices according to certain rules. A matrix is a rectangular layout of numbers arranged in rows and columns. To multiply matrices, each element in a row of the first matrix is multiplied by the corresponding element in a column of the second matrix and those products are summed to form the element of the product matrix in that row and column. Matrix multiplication is useful in many fields including business, data analysis, geology, and robotics.
Fractions
1. The document contains math word problems involving fractions, decimals, percentages, and conversions between fractional, decimal, and percentage representations.
2. Questions ask the learner to solve problems like finding fractions of shapes shaded in diagrams, performing calculations with decimals, finding percentages of quantities, and converting between fractional, decimal, and percentage forms.
3. The problems cover a range of skills including fraction-decimal conversions, percentage calculations, multi-step word problems, and missing value questions.
Basic facts ladder homework books
This document outlines a mathematics skills progression ladder with 63 stages ranging from basic counting and number recognition skills to more advanced skills involving decimals, factors, rounding, and division. The stages are grouped into 8 levels (stages 0-1, 2-3, 5, 6, 7, 8) and describe the mathematical concepts and skills expected at each progression point such as knowing number patterns, addition and subtraction combinations, multiplication and division facts, fractions, and operations with decimals.
2.8 coord. plane 1
The document provides examples and explanations for using the coordinate plane:
- It defines the key elements of the coordinate plane including the x-axis, y-axis, origin, quadrants, and ordered pairs used to identify points.
- An example shows how to plot the point (4, -2) by moving right 4 units and down 2 units from the origin.
- Another example solves a multi-step problem to find the perimeter of a rectangular region on a coordinate plane by identifying the coordinates of its vertices and calculating the length and width.
Maths
This document provides an overview of basic arithmetic concepts including the four fundamental operations of addition, subtraction, multiplication, and division. It begins with an introduction to terminology like digits, numbers, and number lines. It then covers the different types of numbers such as whole numbers, fractions, and decimals. The bulk of the document focuses on explaining each operation through examples and practice problems with step-by-step workings. Check methods for addition and subtraction are also demonstrated. The goal is to establish a foundational understanding of elementary arithmetic.
Perfect squares & square roots lesson 12
The document discusses squares and square roots, explaining that a square number is the product of a whole number multiplied by itself, and can be represented by arranging objects in a square pattern. It provides examples of calculating square roots by factoring numbers into smaller perfect squares. The document also describes how to estimate square roots for non-perfect squares by interpolating between the adjacent perfect square numbers.
How To Find The Area Of An Unusual Shape
The document explains how to find the area of an unusual shape made up of two rectangles. It shows calculating the area of each rectangle and then adding them together to find the total area. The area of the blue rectangle is calculated as 45 x 35 = 1575 square units. The area of the pink rectangle is 22 x 20 = 440 square units. The total area is found by adding these numbers: 1575 + 440 = 2015 square units.
Sept. 21, 2012
The document provides information about absolute values and the real number system. It includes:
- Definitions of rational numbers, integers, whole numbers, natural numbers, and irrational numbers.
- Examples of absolute value and how it measures the distance from zero, including that operations inside the absolute value signs must be done first before taking the absolute value.
- Class work assignments on opposites and absolute values problems from pages 17-18 including a mixed review.
3 1 linear inequalities, absolute value
This document covers solving and graphing linear inequalities and absolute value inequalities in one variable. It discusses:
- Solving linear inequalities by reversing the inequality sign if multiplying or dividing by a negative number.
- Graphing the solutions of inequalities on a number line, using open or closed circles to indicate greater than, less than, greater than or equal to, and less than or equal to.
- Defining absolute value as the distance from a number to zero on the number line.
- Converting absolute value inequalities to equivalent linear inequalities that can be solved algebraically.
- Worked examples of solving and graphing different types of inequalities.
Thursdayweek1
The document outlines objectives for working with whole numbers, including identifying place value, writing numbers in words and standard form, writing numbers in expanded form, comparing numbers using inequality symbols, rounding numbers, reading tables and graphs, solving addition and subtraction problems, and evaluating expressions involving addition and subtraction. It provides examples and self-check problems for students to practice the concepts.
Powerpoint on adding and subtracting decimals notes
This document provides instructions for adding and subtracting decimals. It explains that to add decimals, you line up the decimal points and add the columns from right to left, placing the decimal in the answer below the other decimals. Two examples of decimal addition are shown. It also explains that to subtract decimals, you line up the decimal points, subtract the columns from right to left regrouping if needed, and place the decimal in the answer below the other decimals, demonstrating with one example. It concludes with a practice problem.
2.1 use inductive reasoning
1. The document provides examples and explanations of using inductive reasoning to make and test conjectures based on patterns in numbers, shapes, and graphs. Examples include describing patterns, writing subsequent terms, finding counterexamples, and summarizing relationships between variables.
2. Guided practice questions ask students to continue patterns, make conjectures, find counterexamples, and describe relationships based on provided examples.
3. The document aims to teach students how to use inductive reasoning by looking for patterns in examples and testing conjectures. Students practice these skills on guided problems with feedback provided.
Thursdayweek1
The document outlines objectives for working with whole numbers, including identifying place value, writing numbers in words and standard form, expanding numbers in written form, comparing numbers using inequality symbols, rounding numbers, reading tables and graphs, and solving application problems using addition, subtraction, and evaluating expressions. It provides examples and self-check problems for each objective to help students review the key concepts.
Basic facts stage ladders v.2014
The document outlines the stages and skills completed in a basic facts learning program. It includes 7 stages covering skills like skip counting, addition, subtraction, multiplication tables, fractions, decimals, percentages, factors and multiples. Completing all 7 stages indicates mastery of foundational number sense and calculation skills up to 100.
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The document discusses multiplying and dividing mixed numbers. It states that multiplying mixed numbers in their original form requires four multiplications, but it is usually easier to first convert them to improper fractions. It provides examples of multiplying and dividing mixed numbers step-by-step, reducing terms and dividing out common factors. It also shows evaluating a mixed number expression by distributing and then simplifying.
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The document discusses finding the area of composite figures, which are shapes made up of simple shapes like triangles, rectangles, trapezoids, and circles. To find the area of a composite figure, you divide it into its simple shapes, find the area of each shape, and add or subtract the areas together. It provides examples of calculating the areas of different composite figures by breaking them into triangles, squares, circles and other basic shapes and combining those areas.
Completing the square
This document provides examples of completing the square to solve quadratic equations. It begins by showing how to factor a quadratic expression into a perfect square trinomial. It then demonstrates how to complete the square when the expression is not already a perfect square by adding or subtracting terms to make it a perfect square. The document provides step-by-step workings for several examples of completing the square to solve quadratic equations. It concludes by providing practice problems requiring students to find the solutions of quadratic equations by completing the square.
3 3 i can add and subtract decimals
This document provides instructions and examples for adding and subtracting decimals. It explains the basic steps of lining up the decimal point and filling in missing places with zeros before adding or subtracting. When subtracting across zeros, it notes to borrow from the first non-zero digit if needed. Several examples show evaluating decimal expressions by substituting values for variables and performing the indicated operations. The document concludes with a quiz to assess understanding of adding and subtracting decimals.
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Magic squares are arrangements of numbers where the sums of each row, column, and diagonal are equal. This project uses algebra to explain magic squares, with variables representing the numbers in the square. A 3x3 magic square is presented where a=5, b=3, c=2, and each row, column and diagonal sums to 15. A 4x4 magic square is also shown where each row, column and diagonal sums to 34. Algebraic equations are written for each row, column and diagonal to prove they all equal the target number.
Ln20&21 mth7
This lesson covers exponents, rectangular area, square root, prime and composite numbers, and prime factorization. Key terms are defined like area, base, exponent, square root, prime, composite, and factor tree. Examples are given to illustrate exponent rules, calculating area, listing prime numbers
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This document discusses square numbers and how to identify them. It explains that a number is square if you can form a square using the same length for all four sides. Students investigate which area values represent square numbers by making rectangles with unit blocks. They determine that the areas 4, 9, 16, 25, and others represent perfect squares where the number is multiplied by itself. The document concludes by asking students to show that 49 is a square number and calculate the perimeter of a square with an area of 144 cm2.
8th alg -l3.1
The document contains notes from a math lesson on linear equations and their graphs. It includes examples of writing linear equations in standard form and slope-intercept form, finding x- and y-intercepts, and making tables of values to graph linear equations. Key terms defined are linear equation, standard form, x-intercept, y-intercept, and various methods for graphing linear equations like finding intercepts and making tables. Sample problems are worked through as examples.
Adding and Subtracting Decimals
This document provides a lesson on adding and subtracting decimals through thousandths with and without regrouping. It includes examples of comparing, adding, and subtracting decimals without and with regrouping. Problem solving strategies are discussed, such as drawing diagrams. Practice problems are provided comparing decimal numbers and adding/subtracting decimals with and without regrouping. Key concepts covered are adding, subtracting, comparing, and problem solving with decimals.
October 15, 2015
This document contains notes from a math class that covered the following topics:
- Formulas for calculating the perimeter and area of triangles.
- Practice problems working with triangles, fractions, decimals, and expressions.
- An upcoming test on these topics and reminders for students to have the proper materials and not share answers during the test.
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The document discusses a math lesson on symmetry that includes identifying lines of symmetry in designs and doubling combinations up to 10 + 10. Students will share created symmetrical designs and explain how they made them symmetrical. An activity has students use pattern blocks to build half a design on one side of a line of symmetry and complete the full symmetrical design.
8th alg -l3.3
This document contains notes from a math lesson on slope and rate of change. It includes:
1) Warm up problems solving equations and graphing solutions on a number line.
2) A definition of rate of change as a ratio describing how one quantity changes with respect to another, and of slope as the ratio of rise over run between two points on a line.
3) Examples of finding the slope of lines between pairs of points by using the rise over run formula.
4) Problems finding the y-value of a missing point to produce a line with a given slope between two points.
Msm1 fl ch09_04(2)
This document provides examples and lessons on calculating the area of composite figures, which are figures made up of simple geometric shapes. It includes examples of finding the area by adding the areas of individual shapes, subtracting areas, and applications involving floor plans. The examples are presented with step-by-step workings. Quizzes are provided to assess understanding of calculating areas of composite figures.
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The lesson plan teaches about area by having students work in groups to solve a story problem. In the story, a princess needs to find the area of her parents' land to break a curse. The groups calculate the area of different shapes and present their solutions. The teacher then shows the correct solution of finding the total area of a circle and rectangle to be 18.14 km^2. More practice problems are given to reinforce the concept of area.
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Vivek Kumar Pandey is a software developer seeking a position utilizing his skills in Java, J2EE, JSP, Struts, Spring, Hibernate, JSF, and Web services. He has over 1 year of experience developing software in Java and has worked on projects including a tourism website for Incredible India and a document management tool for SOS Children's Village. He received a Bachelor's degree in Computer Science and Engineering from Rajiv Gandhi Technical University in 2014.
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3 1 linear inequalities, absolute value
This document covers solving and graphing linear inequalities and absolute value inequalities in one variable. It discusses:
- Solving linear inequalities by reversing the inequality sign if multiplying or dividing by a negative number.
- Graphing the solutions of inequalities on a number line, using open or closed circles to indicate greater than, less than, greater than or equal to, and less than or equal to.
- Defining absolute value as the distance from a number to zero on the number line.
- Converting absolute value inequalities to equivalent linear inequalities that can be solved algebraically.
- Worked examples of solving and graphing different types of inequalities.
Thursdayweek1
The document outlines objectives for working with whole numbers, including identifying place value, writing numbers in words and standard form, writing numbers in expanded form, comparing numbers using inequality symbols, rounding numbers, reading tables and graphs, solving addition and subtraction problems, and evaluating expressions involving addition and subtraction. It provides examples and self-check problems for students to practice the concepts.
Powerpoint on adding and subtracting decimals notes
This document provides instructions for adding and subtracting decimals. It explains that to add decimals, you line up the decimal points and add the columns from right to left, placing the decimal in the answer below the other decimals. Two examples of decimal addition are shown. It also explains that to subtract decimals, you line up the decimal points, subtract the columns from right to left regrouping if needed, and place the decimal in the answer below the other decimals, demonstrating with one example. It concludes with a practice problem.
2.1 use inductive reasoning
1. The document provides examples and explanations of using inductive reasoning to make and test conjectures based on patterns in numbers, shapes, and graphs. Examples include describing patterns, writing subsequent terms, finding counterexamples, and summarizing relationships between variables.
2. Guided practice questions ask students to continue patterns, make conjectures, find counterexamples, and describe relationships based on provided examples.
3. The document aims to teach students how to use inductive reasoning by looking for patterns in examples and testing conjectures. Students practice these skills on guided problems with feedback provided.
Thursdayweek1
The document outlines objectives for working with whole numbers, including identifying place value, writing numbers in words and standard form, expanding numbers in written form, comparing numbers using inequality symbols, rounding numbers, reading tables and graphs, and solving application problems using addition, subtraction, and evaluating expressions. It provides examples and self-check problems for each objective to help students review the key concepts.
Basic facts stage ladders v.2014
The document outlines the stages and skills completed in a basic facts learning program. It includes 7 stages covering skills like skip counting, addition, subtraction, multiplication tables, fractions, decimals, percentages, factors and multiples. Completing all 7 stages indicates mastery of foundational number sense and calculation skills up to 100.
2.2 multply and divide mixed numbers 3
The document discusses multiplying and dividing mixed numbers. It states that multiplying mixed numbers in their original form requires four multiplications, but it is usually easier to first convert them to improper fractions. It provides examples of multiplying and dividing mixed numbers step-by-step, reducing terms and dividing out common factors. It also shows evaluating a mixed number expression by distributing and then simplifying.
Obj. 39 Composite Figures
The document discusses finding the area of composite figures, which are shapes made up of simple shapes like triangles, rectangles, trapezoids, and circles. To find the area of a composite figure, you divide it into its simple shapes, find the area of each shape, and add or subtract the areas together. It provides examples of calculating the areas of different composite figures by breaking them into triangles, squares, circles and other basic shapes and combining those areas.
Completing the square
This document provides examples of completing the square to solve quadratic equations. It begins by showing how to factor a quadratic expression into a perfect square trinomial. It then demonstrates how to complete the square when the expression is not already a perfect square by adding or subtracting terms to make it a perfect square. The document provides step-by-step workings for several examples of completing the square to solve quadratic equations. It concludes by providing practice problems requiring students to find the solutions of quadratic equations by completing the square.
3 3 i can add and subtract decimals
This document provides instructions and examples for adding and subtracting decimals. It explains the basic steps of lining up the decimal point and filling in missing places with zeros before adding or subtracting. When subtracting across zeros, it notes to borrow from the first non-zero digit if needed. Several examples show evaluating decimal expressions by substituting values for variables and performing the indicated operations. The document concludes with a quiz to assess understanding of adding and subtracting decimals.
Magic squares
Magic squares are arrangements of numbers where the sums of each row, column, and diagonal are equal. This project uses algebra to explain magic squares, with variables representing the numbers in the square. A 3x3 magic square is presented where a=5, b=3, c=2, and each row, column and diagonal sums to 15. A 4x4 magic square is also shown where each row, column and diagonal sums to 34. Algebraic equations are written for each row, column and diagonal to prove they all equal the target number.
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This document discusses square numbers and how to identify them. It explains that a number is square if you can form a square using the same length for all four sides. Students investigate which area values represent square numbers by making rectangles with unit blocks. They determine that the areas 4, 9, 16, 25, and others represent perfect squares where the number is multiplied by itself. The document concludes by asking students to show that 49 is a square number and calculate the perimeter of a square with an area of 144 cm2.
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The document contains notes from a math lesson on linear equations and their graphs. It includes examples of writing linear equations in standard form and slope-intercept form, finding x- and y-intercepts, and making tables of values to graph linear equations. Key terms defined are linear equation, standard form, x-intercept, y-intercept, and various methods for graphing linear equations like finding intercepts and making tables. Sample problems are worked through as examples.
Adding and Subtracting Decimals
This document provides a lesson on adding and subtracting decimals through thousandths with and without regrouping. It includes examples of comparing, adding, and subtracting decimals without and with regrouping. Problem solving strategies are discussed, such as drawing diagrams. Practice problems are provided comparing decimal numbers and adding/subtracting decimals with and without regrouping. Key concepts covered are adding, subtracting, comparing, and problem solving with decimals.
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This document contains notes from a math class that covered the following topics:
- Formulas for calculating the perimeter and area of triangles.
- Practice problems working with triangles, fractions, decimals, and expressions.
- An upcoming test on these topics and reminders for students to have the proper materials and not share answers during the test.
Second Grade Modeling October 20th 2009
The document discusses a math lesson on symmetry that includes identifying lines of symmetry in designs and doubling combinations up to 10 + 10. Students will share created symmetrical designs and explain how they made them symmetrical. An activity has students use pattern blocks to build half a design on one side of a line of symmetry and complete the full symmetrical design.
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This document contains notes from a math lesson on slope and rate of change. It includes:
1) Warm up problems solving equations and graphing solutions on a number line.
2) A definition of rate of change as a ratio describing how one quantity changes with respect to another, and of slope as the ratio of rise over run between two points on a line.
3) Examples of finding the slope of lines between pairs of points by using the rise over run formula.
4) Problems finding the y-value of a missing point to produce a line with a given slope between two points.
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This document provides examples and lessons on calculating the area of composite figures, which are figures made up of simple geometric shapes. It includes examples of finding the area by adding the areas of individual shapes, subtracting areas, and applications involving floor plans. The examples are presented with step-by-step workings. Quizzes are provided to assess understanding of calculating areas of composite figures.
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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.
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The document discusses arithmetic sequences and series. It begins by defining arithmetic sequences as sequences where the difference between consecutive terms is constant. It provides the general formula for the n-th term of an arithmetic sequence as Un = a + (n-1)b, where a is the first term and b is the common difference. It then defines an arithmetic series as the sum of the terms of an arithmetic sequence, providing the general formula for the sum of the first n terms as Sn = 1/2n(2a + (n-1)b). It concludes by discussing examples and problems involving arithmetic sequences and series.
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This document discusses rational numbers and operations involving fractions. It defines rational numbers as numbers that can be written as fractions with integer numerators and non-zero denominators. It then covers how to add, subtract, multiply and divide fractions, as well as how to convert between fractions and decimals. The document also discusses ordering rational numbers and solving problems involving rational number operations.
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24Term 1 week 1 Mathematics ppt on Place Value.ppt
Here are the responses in standard, expanded, and written form:
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b) Standard: 3405
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Written: Three thousand four hundred five
c) Standard: 561,783
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Written: Five hundred sixty-one thousand seven hundred eighty-three
d) Standard: 1,876,980
Expanded: 1,000,000 + 800,000 + 70,000 + 6,000 + 900 + 80
Written: One million eight
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- 2. 2
- 3. 3 A. BASIC ARITHMETIC • Foundation of modern day life. • Simplest form of mathematics. Four Basic Operations : • Addition plus sign • Subtraction minus sign • Multiplication multiplication sign • Division division sign X Equal or Even Values equal sign
- 4. 4 1. Beginning Terminology Arabic number system - 0,1,2,3,4,5,6,7,8,9 • Digits - Name given to place or position of each numeral. Number Sequence 2. Kinds of numbers • Whole Numbers - Complete units , no fractional parts. (43) May be written in form of words. (forty-three) • Fraction - Part of a whole unit or quantity. (1/2) • Numbers - Symbol or word used to express value or quantity.Numbers Digits Whole Numbers Fraction
- 5. 5 2. Kinds of numbers (con’t) • Decimal Numbers - Fraction written on one line as whole no. Position of period determines power of decimal. Decimal Numbers
- 6. 6 • Number Line - Shows numerals in order of value • Adding on the Number Line (2 + 3 = 5) • Adding with pictures B. WHOLE NUMBERS 1. Addition Number Line Adding on the Number Line Adding with pictures
- 7. 7 ADDITION PRACTICE EXERCISES 1. a. 222 + 222 b. 318 + 421 c. 611 + 116 d. 1021 + 1210 2. a. 813 + 267 b. 924 + 429 c. 618 + 861 d. 411 + 946 3. a. 813 222 + 318 b. 1021 611 + 421 c. 611 96 + 861 d. 1021 1621 + 6211 444 739 727 2231 1080 1353 1479 1357 1353 2053 1568 8853
- 8. 8 2. Subtraction • Number Line - Can show subtraction. Number Line Subtraction with pictures Position larger numbers above smaller numbers. If subtracting larger digits from smaller digits, borrow from next column. 5 3 8 - 3 9 7 1 4 1 41 Number Line
- 9. 9 SUBTRACTION PRACTICE EXERCISES 1. a. 6 - 3 b. 8 - 4 c. 5 - 2 d. 9 - 5 2. a. 11 - 6 b. 12 - 4 c. 28 - 9 d. 33 - 7 3. a. 27 - 19 b. 23 - 14 c. 86 - 57 d. 99 - 33 3 4 3 4 5 8 19 26 8 9 29 66 e. 7 - 3 e. 41 - 8 e. 72 - 65 4 33 7
- 10. 10 4. Multiplication • In Arithmetic - Indicated by “times” sign (x). Learn “Times” Table 6 x 8 = 48 In Arithmetic
- 11. 11 MULTIPLICATION PRACTICE EXERCISES 1. a. 21 x 4 b. 81 x 9 c. 64 x 5 d. 36 x 3 2. a. 87 x 7 b. 43 x 2 c. 56 x 0 d. 99 x 6 3. a. 24 x 13 b. 53 x 15 c. 49 x 26 d. 55 x 37 84 729 320 108 609 86 0 594 312 795 1274 2035
- 12. 12 Finding out how many times a divider “goes into” a whole number. • Finding out how many times a divider “goes into” a whole number. 5. Division 15 5 = 3 15 3 = 5
- 13. 13 DIVISION PRACTICE EXERCISES 1. a. b. c. 2. a. b. c. 3. a. b. 211 62 92 13 310 101 256 687 4. a. b. 98 67 48 5040 7 434 9 828 9 117 12 3720 10 1010 23 5888 56 38472 98 9604 13 871 5. a. b. 50 123 50 2500 789 97047
- 14. 14