4 number and operation
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The document defines key math vocabulary terms for 4th grade MCA including symbols and concepts related to numbers, operations, fractions, decimals, and problem solving strategies. Terms defined include less than and greater than symbols, the four basic operations of addition, subtraction, multiplication and division, factors, quotients, dividends, divisors, numerators, denominators, equivalent fractions, improper fractions, mixed numbers, and decimals. Definitions are provided by J. Scheumann and C. Sorenson from 2011.
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3 number and operation
This document defines math vocabulary terms for 3rd grade MCA exams, including definitions for terms like equal, compare, order, add, subtract, multiply, divide, fraction, estimate and round. Examples are provided to illustrate concepts like comparing numbers, adding, subtracting, and dividing quantities. Links are included throughout for interactive exercises on related math concepts.
Adding And Subtracting Like Fractions
1) When adding or subtracting fractions, they must have a common denominator so the bottom numbers are the same. 2) If the denominators are already the same, simply add or subtract the top numbers and simplify. 3) To add or subtract a whole number and fraction, write the whole number as a fraction over 1 before making the denominators the same and then adding or subtracting the fractions.
Edi Ns 1 2 Decimal Equivalents of Common Fractions
This document discusses finding decimal equivalents for common fractions. It defines key terms like fraction, decimal, and equivalent. It provides examples of common fractions and their decimal equivalents, such as 1/2 = 0.5. It explains how to convert a fraction to a decimal by dividing the numerator by the denominator and placing the decimal point in the correct location. Students are encouraged to understand decimal equivalents as it will be important for future exams.
Fraction decimal equivalence
1) The document discusses the equivalence and relationships between fractions and decimals. It provides examples of how to convert fractions to decimals by dividing the numerator by the denominator.
2) Key questions are defined for fractions and decimals, with fractions describing parts of a whole using numbers and decimals using numbers and a decimal point.
3) Examples are given of converting common fractions such as 1/2, 1/4, and 1/10 to their decimal equivalents through division.
Improper Fractions and Mixed Numbers
A mixed number represents a whole number and a fraction combined, such as 3 1/3. An improper fraction is when the numerator is larger than the denominator, like 24/5. To convert an improper fraction to a mixed number, divide the numerator by the denominator and the remainder is the numerator of the fraction with the same denominator. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, which becomes the new numerator over the original denominator.
December 10.1, 2014
The document provides an overview of a math class that focuses on fractions, decimals, and percents. It includes:
1) A warm-up with fraction problems asking students to describe their solving process without calculating.
2) Definitions and conversions between fractions, decimals, and percents. It explains that decimals represent tenths and percents represent percentages out of 100.
3) Methods for changing between decimals, fractions, and percents by moving decimals or dividing/multiplying by 100.
4) Examples of mental math calculations with percents, such as finding 10% or 20% of a number.
Fractions-Adding/Subtracting and Multiplying/Dividing
This powerpoint explains and demonstrates the distinct procedures for adding and subtracting fractions, or for multiplying and dividing them.
Sophie M
The document defines key fraction concepts such as the numerator, denominator, and converting fractions to decimals. It also explains how to perform operations with fractions such as addition, subtraction, multiplication, and division by finding common denominators or converting to improper fractions. Examples are provided to illustrate fraction conversions and the different steps for each mathematical operation.
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3 number and operation
This document defines math vocabulary terms for 3rd grade MCA exams, including definitions for terms like equal, compare, order, add, subtract, multiply, divide, fraction, estimate and round. Examples are provided to illustrate concepts like comparing numbers, adding, subtracting, and dividing quantities. Links are included throughout for interactive exercises on related math concepts.
Adding And Subtracting Like Fractions
1) When adding or subtracting fractions, they must have a common denominator so the bottom numbers are the same. 2) If the denominators are already the same, simply add or subtract the top numbers and simplify. 3) To add or subtract a whole number and fraction, write the whole number as a fraction over 1 before making the denominators the same and then adding or subtracting the fractions.
Edi Ns 1 2 Decimal Equivalents of Common Fractions
This document discusses finding decimal equivalents for common fractions. It defines key terms like fraction, decimal, and equivalent. It provides examples of common fractions and their decimal equivalents, such as 1/2 = 0.5. It explains how to convert a fraction to a decimal by dividing the numerator by the denominator and placing the decimal point in the correct location. Students are encouraged to understand decimal equivalents as it will be important for future exams.
Fraction decimal equivalence
1) The document discusses the equivalence and relationships between fractions and decimals. It provides examples of how to convert fractions to decimals by dividing the numerator by the denominator.
2) Key questions are defined for fractions and decimals, with fractions describing parts of a whole using numbers and decimals using numbers and a decimal point.
3) Examples are given of converting common fractions such as 1/2, 1/4, and 1/10 to their decimal equivalents through division.
Improper Fractions and Mixed Numbers
A mixed number represents a whole number and a fraction combined, such as 3 1/3. An improper fraction is when the numerator is larger than the denominator, like 24/5. To convert an improper fraction to a mixed number, divide the numerator by the denominator and the remainder is the numerator of the fraction with the same denominator. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, which becomes the new numerator over the original denominator.
December 10.1, 2014
The document provides an overview of a math class that focuses on fractions, decimals, and percents. It includes:
1) A warm-up with fraction problems asking students to describe their solving process without calculating.
2) Definitions and conversions between fractions, decimals, and percents. It explains that decimals represent tenths and percents represent percentages out of 100.
3) Methods for changing between decimals, fractions, and percents by moving decimals or dividing/multiplying by 100.
4) Examples of mental math calculations with percents, such as finding 10% or 20% of a number.
Fractions-Adding/Subtracting and Multiplying/Dividing
This powerpoint explains and demonstrates the distinct procedures for adding and subtracting fractions, or for multiplying and dividing them.
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The document defines key fraction concepts such as the numerator, denominator, and converting fractions to decimals. It also explains how to perform operations with fractions such as addition, subtraction, multiplication, and division by finding common denominators or converting to improper fractions. Examples are provided to illustrate fraction conversions and the different steps for each mathematical operation.
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This document discusses various mathematical concepts including factors and multiples, prime numbers, rounding and significant figures, highest common factors (HCF) and lowest common multiples (LCM), place value, fractions, square numbers, and more. It provides examples and explanations for each topic. For factors, it explains that a factor is a number that can be divided without a remainder. For prime numbers, it states that a prime number has exactly two factors: 1 and itself. For rounding, it describes how to round numbers to the nearest 10 or 100 based on the digit in the ones or tens place.
Addition of fractions
1) A fraction represents a part of a whole. Adding fractions is different than adding whole numbers. There are two types of fraction addition problems: those where the fractions have the same denominator, and those where the fractions have different denominators.
2) For problems where the fractions have the same denominator, you simply add the numerators and keep the same denominator.
3) For problems where the fractions have different denominators, you find the least common multiple of the denominators and convert the fractions to equivalent fractions with that denominator before adding the numerators and keeping the common denominator.
Operations with rational numbers
This document discusses rational numbers and different types of fractions including mixed numbers, improper fractions, adding, subtracting, multiplying, and dividing fractions. It explains that rational numbers are numbers that can be made by dividing one integer by another. Fractions have a numerator and denominator and can be added or subtracted by finding a common denominator. To multiply fractions, you multiply the numerators and denominators. To divide fractions, you keep the first fraction the same, change the operation to divide, and flip the second fraction to its inverse.
Alyssa H
1) A fraction represents a part of a whole. The numerator represents the parts and the denominator represents the whole.
2) To convert a fraction to a decimal, you divide the numerator by the denominator. To convert a decimal to a fraction, you write the place value as the denominator and the number as the numerator.
3) When adding or subtracting fractions, you need common denominators. You find the least common multiple and use it to convert the fractions before adding or subtracting the numerators.
Rational numbers
Rational numbers can be defined as any number that can be made by dividing one integer by another. This includes positive and negative numbers, whole numbers, fractions, and decimals.
To add or subtract fractions, they must first be converted to have a common denominator. This is done by finding the least common multiple of the denominators and using it as the new common denominator.
Multiplying and dividing fractions follows simple rules: for multiplication, multiply the numerators and multiply the denominators; for division, keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction.
Ppt exponents
This document discusses exponents and their rules for operations. It provides examples of dividing, subtracting, and multiplying terms with exponents. For division, you divide the numbers not in exponents and subtract the like exponents. For multiplication, you multiply the numbers not in exponents and add the like exponents. Working through these examples helped solidify the rules for operating with exponential expressions.
Francesca
A fraction represents a part of a whole or group. The numerator tells how many parts are being used, and the denominator says how many equal parts make up the whole. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, use the place value of the decimal as the denominator and the whole number as the numerator. When adding or subtracting fractions, find a common denominator to write equivalent fractions with the same denominator before combining numerators. Multiplying fractions is done by multiplying the numerators and denominators, while dividing fractions uses the reciprocal of the divisor to write the problem as a multiplication.
Fractions
Fractions represent parts of a whole. They are written with a numerator above the denominator, where the numerator indicates the number of equal parts being considered and the denominator indicates the total number of equal parts the whole was divided into. There are different types of fractions, including proper fractions where the numerator is smaller than the denominator, improper fractions where the numerator is larger, and mixed fractions which are a whole number and a fraction combined. The denominator of a fraction can never be zero.
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The document provides instructions for performing basic operations on fractions:
- Adding fractions requires finding a common denominator by multiplying the denominators, then adding the numerators and keeping the common denominator.
- Subtracting fractions uses the same process of finding a common denominator before subtracting the numerators.
- Multiplying fractions is done by multiplying the numerators and multiplying the denominators.
- Dividing fractions is performed by multiplying the first fraction by the inverse of the second fraction. This involves flipping the second fraction and multiplying the numerators and denominators.
CPM Geometry Inequalities
This document discusses how manipulating inequalities through addition, subtraction, multiplication, and division affects the inequality sign. It notes that adding or subtracting a number to both sides of an inequality, or multiplying/dividing both sides by a positive number, does not change the inequality. However, multiplying or dividing both sides of an inequality by a negative number requires flipping the inequality sign. It provides examples to illustrate these principles and concludes by presenting two inequalities to solve.
Unit 1. Integers
This document provides an overview of integer operations including:
- Negative numbers and their use in situations like temperature and banking transactions
- Positive and negative integers and their placement on the number line
- Rules for adding, subtracting, multiplying and dividing integers based on their signs
- Order of operations using BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)
- Recommendations for interactive integer activities and games to practice these concepts from websites like SheppardSoftware, ThatQuiz, and MathJong.
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This document provides an overview of fractions including:
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- Examples are given of fractions with different numerators over the same denominator
- Methods for simplifying, multiplying, dividing, adding, and subtracting fractions are described
- Mixed numbers, which are numbers represented by a whole number and fraction, are also introduced
- Contact information is provided for math specialists available to answer additional questions
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This document defines key mathematical terms related to fractions, decimals, percentages, ratios, statistics, and probability. It provides concise explanations of parts, wholes, numerators, denominators, common denominators, proper and improper fractions, mixed numbers, decimals, ratios, percentages, data, statistics, averages, means, modes, ranges, medians, minimums, maximums, intervals, and probability.
Prime Numbers
A prime number is a whole number greater than 1 that is only divisible by 1 and itself. For example, 13 is a prime number because the only numbers that 13 is evenly divisible by are 1 and 13. The document then lists the first 20 prime numbers.
Natalie V
The document provides information about fractions including:
1) A fraction represents a part of a whole number or group, with the numerator representing the part and the denominator representing the whole.
2) To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, identify the place value of the last digit as the denominator.
3) When adding or subtracting fractions, they must have common denominators, which involves finding the common denominator and adding or subtracting the numerators.
Fraction vocabulary
This document defines key fraction vocabulary terms including numerator, denominator, equivalent fractions, simplest form, greatest common factor, least common denominator, mixed number, and improper fraction. It explains that a fraction represents a part of a whole or group, the numerator is the number on top, and the denominator is the number below that indicates how many equal parts the whole is divided into. It also provides examples of equivalent fractions, greatest common factors, least common denominators, mixed numbers, and converting an improper fraction to a mixed number.
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Understanding Fractions
The document defines fractions and their classifications including proper, improper, and mixed numbers. It explains that a fraction is the quotient of two rational numbers with a numerator and denominator. Proper fractions have a numerator smaller than the denominator, improper fractions have a numerator greater than or equal to the denominator, and mixed numbers contain a whole number and an improper fraction. The document also discusses how to identify equivalent fractions and how to order fractions with the same denominator by comparing their numerators.
Dividing Decimals
This document discusses how to divide decimals. It explains that to divide decimals, you can first estimate the answer by converting the decimals to whole numbers. Then, to perform long division with decimals, you multiply both the dividend and divisor by the same power of 10 so they become whole numbers. Finally, it notes you should move the decimal point in the answer the same number of places as you moved the decimals in the original numbers.
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This document discusses simple machines and their uses. It describes six simple machines: levers, wheels and axles, inclined planes, wedges, screws, and pulleys. For each machine it explains how they work by magnifying an input force or reducing the amount of force needed. Simple machines have been used for thousands of years and were studied by Archimedes. They can be combined to create mechanical advantages in devices like bicycles.
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This document defines key vocabulary terms from the MCA-III Math test specifications, including:
- Probability is a number from 0 to 1 that shows the likelihood of an event happening.
- A ratio shows the relative sizes of two or more values.
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This document discusses various mathematical concepts including factors and multiples, prime numbers, rounding and significant figures, highest common factors (HCF) and lowest common multiples (LCM), place value, fractions, square numbers, and more. It provides examples and explanations for each topic. For factors, it explains that a factor is a number that can be divided without a remainder. For prime numbers, it states that a prime number has exactly two factors: 1 and itself. For rounding, it describes how to round numbers to the nearest 10 or 100 based on the digit in the ones or tens place.
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1) A fraction represents a part of a whole. Adding fractions is different than adding whole numbers. There are two types of fraction addition problems: those where the fractions have the same denominator, and those where the fractions have different denominators.
2) For problems where the fractions have the same denominator, you simply add the numerators and keep the same denominator.
3) For problems where the fractions have different denominators, you find the least common multiple of the denominators and convert the fractions to equivalent fractions with that denominator before adding the numerators and keeping the common denominator.
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This document discusses rational numbers and different types of fractions including mixed numbers, improper fractions, adding, subtracting, multiplying, and dividing fractions. It explains that rational numbers are numbers that can be made by dividing one integer by another. Fractions have a numerator and denominator and can be added or subtracted by finding a common denominator. To multiply fractions, you multiply the numerators and denominators. To divide fractions, you keep the first fraction the same, change the operation to divide, and flip the second fraction to its inverse.
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1) A fraction represents a part of a whole. The numerator represents the parts and the denominator represents the whole.
2) To convert a fraction to a decimal, you divide the numerator by the denominator. To convert a decimal to a fraction, you write the place value as the denominator and the number as the numerator.
3) When adding or subtracting fractions, you need common denominators. You find the least common multiple and use it to convert the fractions before adding or subtracting the numerators.
Rational numbers
Rational numbers can be defined as any number that can be made by dividing one integer by another. This includes positive and negative numbers, whole numbers, fractions, and decimals.
To add or subtract fractions, they must first be converted to have a common denominator. This is done by finding the least common multiple of the denominators and using it as the new common denominator.
Multiplying and dividing fractions follows simple rules: for multiplication, multiply the numerators and multiply the denominators; for division, keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction.
Ppt exponents
This document discusses exponents and their rules for operations. It provides examples of dividing, subtracting, and multiplying terms with exponents. For division, you divide the numbers not in exponents and subtract the like exponents. For multiplication, you multiply the numbers not in exponents and add the like exponents. Working through these examples helped solidify the rules for operating with exponential expressions.
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A fraction represents a part of a whole or group. The numerator tells how many parts are being used, and the denominator says how many equal parts make up the whole. To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, use the place value of the decimal as the denominator and the whole number as the numerator. When adding or subtracting fractions, find a common denominator to write equivalent fractions with the same denominator before combining numerators. Multiplying fractions is done by multiplying the numerators and denominators, while dividing fractions uses the reciprocal of the divisor to write the problem as a multiplication.
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Fractions represent parts of a whole. They are written with a numerator above the denominator, where the numerator indicates the number of equal parts being considered and the denominator indicates the total number of equal parts the whole was divided into. There are different types of fractions, including proper fractions where the numerator is smaller than the denominator, improper fractions where the numerator is larger, and mixed fractions which are a whole number and a fraction combined. The denominator of a fraction can never be zero.
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The document provides instructions for performing basic operations on fractions:
- Adding fractions requires finding a common denominator by multiplying the denominators, then adding the numerators and keeping the common denominator.
- Subtracting fractions uses the same process of finding a common denominator before subtracting the numerators.
- Multiplying fractions is done by multiplying the numerators and multiplying the denominators.
- Dividing fractions is performed by multiplying the first fraction by the inverse of the second fraction. This involves flipping the second fraction and multiplying the numerators and denominators.
CPM Geometry Inequalities
This document discusses how manipulating inequalities through addition, subtraction, multiplication, and division affects the inequality sign. It notes that adding or subtracting a number to both sides of an inequality, or multiplying/dividing both sides by a positive number, does not change the inequality. However, multiplying or dividing both sides of an inequality by a negative number requires flipping the inequality sign. It provides examples to illustrate these principles and concludes by presenting two inequalities to solve.
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This document provides an overview of integer operations including:
- Negative numbers and their use in situations like temperature and banking transactions
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- Recommendations for interactive integer activities and games to practice these concepts from websites like SheppardSoftware, ThatQuiz, and MathJong.
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This document provides an overview of fractions including:
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- Examples are given of fractions with different numerators over the same denominator
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- Mixed numbers, which are numbers represented by a whole number and fraction, are also introduced
- Contact information is provided for math specialists available to answer additional questions
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This document defines key mathematical terms related to fractions, decimals, percentages, ratios, statistics, and probability. It provides concise explanations of parts, wholes, numerators, denominators, common denominators, proper and improper fractions, mixed numbers, decimals, ratios, percentages, data, statistics, averages, means, modes, ranges, medians, minimums, maximums, intervals, and probability.
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A prime number is a whole number greater than 1 that is only divisible by 1 and itself. For example, 13 is a prime number because the only numbers that 13 is evenly divisible by are 1 and 13. The document then lists the first 20 prime numbers.
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The document provides information about fractions including:
1) A fraction represents a part of a whole number or group, with the numerator representing the part and the denominator representing the whole.
2) To convert a fraction to a decimal, divide the numerator by the denominator. To convert a decimal to a fraction, identify the place value of the last digit as the denominator.
3) When adding or subtracting fractions, they must have common denominators, which involves finding the common denominator and adding or subtracting the numerators.
Fraction vocabulary
This document defines key fraction vocabulary terms including numerator, denominator, equivalent fractions, simplest form, greatest common factor, least common denominator, mixed number, and improper fraction. It explains that a fraction represents a part of a whole or group, the numerator is the number on top, and the denominator is the number below that indicates how many equal parts the whole is divided into. It also provides examples of equivalent fractions, greatest common factors, least common denominators, mixed numbers, and converting an improper fraction to a mixed number.
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The document defines fractions and their classifications including proper, improper, and mixed numbers. It explains that a fraction is the quotient of two rational numbers with a numerator and denominator. Proper fractions have a numerator smaller than the denominator, improper fractions have a numerator greater than or equal to the denominator, and mixed numbers contain a whole number and an improper fraction. The document also discusses how to identify equivalent fractions and how to order fractions with the same denominator by comparing their numerators.
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