Dividing decimals by_decimals
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This document provides steps for dividing decimals. It explains that to divide decimals, you first make the divisor a whole number by moving the decimal point to the right in the divisor. You then move the decimal point the same number of places in the dividend. You divide as usual, keeping the decimal points lined up, and place the decimal point in the quotient above the decimal point in the dividend. Examples are provided to demonstrate the process.
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Dividing decimals part 1
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
Dividing Fractions
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
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This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Multiplying and dividing fractions
To multiply fractions, multiply the top numbers together and the bottom numbers together, cancelling common factors if possible. To divide fractions, flip the second fraction upside down, change the division sign to multiplication, and then multiply the tops and bottoms together. The document provides instructions for multiplying and dividing fractions by explaining the rules to multiply the numerators and denominators, and to flip the second fraction when dividing.
Adding Decimals
The column method is used to add decimal numbers. First, the numbers are lined up with the decimal points aligned. Then each column is added separately, carrying numbers to the next column as needed. For the example of adding 3.77 and 4.28, the hundreds column is added first (7 + 8 = 15, writing the 5 and carrying the 1). Then the tens column is added (7 + 2 + 1 = 10, writing 0 and carrying 1). Finally, the ones column is added (3 + 4 + 1 = 8). The total is 8.05 + 1 = 8.08.
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Adding And Subtracting Fractions
The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.
Multiplying and dividing decimals
This document provides instructions for multiplying, dividing, and converting between decimals and fractions. It explains the basic steps:
1) Count the decimal places and line up the numbers accordingly.
2) Ignore the decimal point and multiply or divide the numbers as whole numbers.
3) Place the decimal point by counting places left or right from the original decimal.
Several examples are worked through, such as multiplying 5.8 x 7 and dividing 21.086 by 3. Then readers are prompted to try problems themselves, like dividing 0.4 by 0.0025.
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Dividing decimals part 1
This document provides instructions and examples for dividing decimals. It explains that when dividing a decimal by a whole number, the decimal point is placed in the quotient directly above the decimal point in the dividend. It also explains that when dividing decimals, the decimal point in the divisor is moved to the right until the end of its digits, and the decimal point in the dividend is moved the same number of places. This is demonstrated through examples of dividing decimals by whole numbers and decimals.
Dividing Fractions
This document provides instructions for dividing fractions. It begins by giving examples of dividing whole numbers and fractions. It explains that when dividing fractions between 0 and 1, the quotient will be larger than at least one of the fractions. The steps for dividing fractions are then outlined: 1) convert fractions to improper form, 2) keep the first fraction, 3) change the operation to multiplication, 4) take the reciprocal of the second fraction, 5) multiply the numerators and denominators, and 6) simplify if possible. Several examples are worked through to demonstrate the process.
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This document provides information about fractions including:
1) It defines a fraction as parts of a whole object that is divided into equal parts, with the number on the bottom telling how many equal parts the whole is divided into (the denominator), and the number on top telling how many parts are selected (the numerator).
2) It explains that the denominator of a fraction indicates the number of equal parts that make up the whole object, while the numerator indicates how many of those parts are selected or shaded.
3) Examples are provided to demonstrate finding the numerator and denominator of fractions and representing fractions as shapes or parts of a whole.
Multiplying and dividing fractions
To multiply fractions, multiply the top numbers together and the bottom numbers together, cancelling common factors if possible. To divide fractions, flip the second fraction upside down, change the division sign to multiplication, and then multiply the tops and bottoms together. The document provides instructions for multiplying and dividing fractions by explaining the rules to multiply the numerators and denominators, and to flip the second fraction when dividing.
Adding Decimals
The column method is used to add decimal numbers. First, the numbers are lined up with the decimal points aligned. Then each column is added separately, carrying numbers to the next column as needed. For the example of adding 3.77 and 4.28, the hundreds column is added first (7 + 8 = 15, writing the 5 and carrying the 1). Then the tens column is added (7 + 2 + 1 = 10, writing 0 and carrying 1). Finally, the ones column is added (3 + 4 + 1 = 8). The total is 8.05 + 1 = 8.08.
Multiplication of decimals
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
Adding And Subtracting Fractions
The document discusses adding and subtracting fractions with like denominators. It provides steps for adding and subtracting numerators while keeping the denominators the same. Examples are shown of adding and subtracting fractions with like denominators. Additional practice problems are presented for the reader to work through.
Multiplying and dividing decimals
This document provides instructions for multiplying, dividing, and converting between decimals and fractions. It explains the basic steps:
1) Count the decimal places and line up the numbers accordingly.
2) Ignore the decimal point and multiply or divide the numbers as whole numbers.
3) Place the decimal point by counting places left or right from the original decimal.
Several examples are worked through, such as multiplying 5.8 x 7 and dividing 21.086 by 3. Then readers are prompted to try problems themselves, like dividing 0.4 by 0.0025.
Division of decimals
Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
Add Fractions With Unlike Denominators
This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
Adding and subtracting fractions
Adding and subtracting fractions involves making the bottom numbers the same by finding the lowest common multiple and multiplying the top numbers of each fraction by the same amount. Then the top numbers are either added or subtracted, while keeping the bottom number the same, to obtain the final fraction answer. The document provides steps for adding the fractions 3/4 and 1/3 as an example.
long division ppt.pptx
Long division is a multi-step process for dividing one number by another. It involves dividing, multiplying, subtracting, bringing down remaining digits, and repeating steps until there is a remainder. The document provides an acronym "DMSBR" to help remember the steps of long division: Divide, Multiply, Subtract, Bring Down, Repeat or Remainder. An example problem of 875 divided by 25 is also listed.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Rounding Decimal Numbers
Here are the steps to round each number as indicated in Exercise 3.2 on pages 105 and 106:
a. 4.231 to 2 decimal places is 4.23
b. 0.75 to 1 decimal place is 0.8
c. 2.076 to 2 decimal places is 2.08
d. 0.698 to 2 decimal places is 0.70
e. 23.357 to 1 decimal place is 23.4
f. 48.6929 to 3 decimal places is 48.693
g. 639.678 to the nearest hundred is 640
h. 12.364 to the nearest ten is 12.4
i. 95.89 to the nearest ten is 100
j.
Multiply And Divide Decimals By Powers Of 10
1) Powers of 10 refer to numbers that are multiples of 10 raised to an exponent, such as 100 = 10^2 and 1000 = 10^3.
2) To multiply or divide a number by a power of 10, you simply move the decimal point in the number to the right when multiplying and to the left when dividing by the same number of places as the power of 10.
3) For example, to multiply 1.25 by 1000 (10^3), you move the decimal 3 places to the right to get 1250. And to divide 250.6 by 100 (10^2), you move the decimal 2 places to the left to get 2.506.
Equivalent fraction
Equivalent fractions have the same value even though they may look different. They have different numerators and denominators because multiplying or dividing both the top and bottom of a fraction by the same number keeps its value. There are two ways to find equivalent fractions: 1) multiply the numerator and denominator by the same number, or 2) divide the numerator and denominator by the same number.
Add and Subtract Decimals
This document provides instructions for adding and subtracting decimals. It explains that when adding or subtracting decimals, you should line up the decimal points and place values. Then you perform the calculation, carrying or borrowing values as needed just as you would with whole numbers. Examples are provided of adding decimals with sums of 5.78 + 4.46 and 4.39 + 8.72. Examples of subtracting decimals include 9.34 - 4.27 and 10.83 - 3.92. Practice problems are also included for the reader to try.
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This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
Adding And Subtracting Fractions
The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
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This document discusses different methods for comparing fractions, including:
1) Comparing fractions with the same denominator by looking at the numerators
2) Making the denominators the same by finding the least common multiple before comparing
3) Comparing fractions by multiplying the numerators and denominators
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This document provides an overview of fractions including:
- Definitions of proper, improper, and mixed numbers
- Equivalent fractions and how to identify them
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- Examples are provided for each concept along with practice problems for students to work through
The document covers essential fraction concepts and provides clear explanations, examples, and practice problems to help students understand fractions.
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1. A review of vocabulary terms like quotient, dividend and divisor.
2. Steps for dividing decimals that include placing the decimal point in the quotient directly above the decimal point in the dividend and dividing as with whole numbers.
3. Examples of dividing decimals with answers and worked out steps shown.
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Dividing decimals involves the following steps:
1. When dividing a decimal by a whole number, place the decimal point in the quotient above the decimal point in the dividend. Divide as usual.
2. When dividing one decimal by another, move the decimal point in the divisor right until the end of its digits and move the decimal point in the dividend the same number of places.
3. Terminating decimals stop at a certain digit. Repeating decimals have a repeating digit or group of digits that is usually denoted with a bar.
Add Fractions With Unlike Denominators
This document provides steps for adding fractions with unlike denominators:
1) Find equivalent fractions with a common denominator
2) Add the numerators and use the sum as the new numerator
3) Keep the common denominator as the denominator
4) Simplify the resulting fraction if possible by reducing to lowest terms
Worked examples demonstrate applying the steps to add several pairs of fractions.
Adding and subtracting fractions
Adding and subtracting fractions involves making the bottom numbers the same by finding the lowest common multiple and multiplying the top numbers of each fraction by the same amount. Then the top numbers are either added or subtracted, while keeping the bottom number the same, to obtain the final fraction answer. The document provides steps for adding the fractions 3/4 and 1/3 as an example.
long division ppt.pptx
Long division is a multi-step process for dividing one number by another. It involves dividing, multiplying, subtracting, bringing down remaining digits, and repeating steps until there is a remainder. The document provides an acronym "DMSBR" to help remember the steps of long division: Divide, Multiply, Subtract, Bring Down, Repeat or Remainder. An example problem of 875 divided by 25 is also listed.
Long division
1) Long division is explained using a family as an analogy to represent the steps of the process.
2) The steps of long division are: divide, multiply, subtract, bring down, and repeat or get the remainder.
3) An example problem walks through dividing 947 by 2 using the long division steps step-by-step to get the answer of 473 with a remainder of 1.
Rounding Decimal Numbers
Here are the steps to round each number as indicated in Exercise 3.2 on pages 105 and 106:
a. 4.231 to 2 decimal places is 4.23
b. 0.75 to 1 decimal place is 0.8
c. 2.076 to 2 decimal places is 2.08
d. 0.698 to 2 decimal places is 0.70
e. 23.357 to 1 decimal place is 23.4
f. 48.6929 to 3 decimal places is 48.693
g. 639.678 to the nearest hundred is 640
h. 12.364 to the nearest ten is 12.4
i. 95.89 to the nearest ten is 100
j.
Multiply And Divide Decimals By Powers Of 10
1) Powers of 10 refer to numbers that are multiples of 10 raised to an exponent, such as 100 = 10^2 and 1000 = 10^3.
2) To multiply or divide a number by a power of 10, you simply move the decimal point in the number to the right when multiplying and to the left when dividing by the same number of places as the power of 10.
3) For example, to multiply 1.25 by 1000 (10^3), you move the decimal 3 places to the right to get 1250. And to divide 250.6 by 100 (10^2), you move the decimal 2 places to the left to get 2.506.
Equivalent fraction
Equivalent fractions have the same value even though they may look different. They have different numerators and denominators because multiplying or dividing both the top and bottom of a fraction by the same number keeps its value. There are two ways to find equivalent fractions: 1) multiply the numerator and denominator by the same number, or 2) divide the numerator and denominator by the same number.
Add and Subtract Decimals
This document provides instructions for adding and subtracting decimals. It explains that when adding or subtracting decimals, you should line up the decimal points and place values. Then you perform the calculation, carrying or borrowing values as needed just as you would with whole numbers. Examples are provided of adding decimals with sums of 5.78 + 4.46 and 4.39 + 8.72. Examples of subtracting decimals include 9.34 - 4.27 and 10.83 - 3.92. Practice problems are also included for the reader to try.
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This document provides instructions for converting decimals to fractions and fractions to decimals. It explains that the place value of the last digit determines the denominator of the fraction. For decimals, the place value is determined by powers of ten. For fractions, the place value determines where the digit goes in the decimal. It also addresses situations where the denominator is not a power of ten, in which case the fraction needs to be divided.
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The document discusses methods for adding and subtracting fractions using the Criss-Cross Smiley Face method. It provides examples of adding and subtracting both positive and negative numbers. It then has a skills review section with questions about adding, subtracting and multiplying positive and negative numbers. The final sections provide practice problems for students to apply the Criss-Cross Smiley Face method for adding and subtracting fractions.
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This document contains lesson materials on operations with fractions, including examples of addition, subtraction, multiplication, and division of fractions. It provides steps for solving each type of operation, such as multiplying the numerators and denominators for multiplication, or applying cross multiplication for division. It then includes practice problems for students to work through, covering adding and subtracting similar and dissimilar fractions, as well as multiplying and dividing fractions. The document aims to teach students the key steps and methods for performing different mathematical operations with fractions.
2.1 mixed fractions
This document discusses mixed numbers and improper fractions. It defines a mixed number as having a whole number part and fractional part, and an improper fraction as having a numerator larger than the denominator. It provides examples of changing between mixed numbers and improper fractions by multiplying the whole number by the denominator and adding the numerator, or dividing the numerator by the denominator and keeping the remainder over the denominator.
Comparing Fractions
This document discusses different methods for comparing fractions, including:
1) Comparing fractions with the same denominator by looking at the numerators
2) Making the denominators the same by finding the least common multiple before comparing
3) Comparing fractions by multiplying the numerators and denominators
4) Converting fractions to decimals and comparing the decimal forms
The key steps are to simplify the fractions to have a common denominator or convert to decimals before determining which fraction is greater.
Add & Subtract Fractions
This document provides an overview of fractions including:
- Definitions of proper, improper, and mixed numbers
- Equivalent fractions and how to identify them
- Ordering fractions with both like and unlike denominators
- Adding and subtracting fractions with both like and unlike denominators
- Examples are provided for each concept along with practice problems for students to work through
The document covers essential fraction concepts and provides clear explanations, examples, and practice problems to help students understand fractions.
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This document contains notes and instructions for dividing decimals. It includes:
1. A review of vocabulary terms like quotient, dividend and divisor.
2. Steps for dividing decimals that include placing the decimal point in the quotient directly above the decimal point in the dividend and dividing as with whole numbers.
3. Examples of dividing decimals with answers and worked out steps shown.
Decimal powerpoint presentation
The document discusses decimals, including how to read and write decimals, adding and subtracting decimals by lining up the decimal points, and converting between decimals, fractions, and percentages. Key examples and steps are provided for adding, subtracting, and converting between decimal, fraction, and percentage forms.
Ppt addition of dissimilar fractions (loids)
This document provides instructions on how to add dissimilar fractions. It begins by listing examples of finding the least common denominator of sets of fractions. It then works through an example problem of adding 1/2 kg of lanzones and 1/4 kg of grapes. The key steps are to first find the least common denominator to make the fractions similar, then add the numerators and keep the same denominator. Finally, it lists three practice problems for the student to solve.
Order of Operations
The document discusses the order of operations in mathematics. It explains that the order of operations (PEMDAS) - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - provides rules for which operations to perform first in a mathematical expression without changing the result. It provides examples of evaluating expressions using the proper order of operations and also provides links to online games for practicing order of operations skills.
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The document contains information about a math lesson on dividing decimals. It includes examples of dividing decimals, such as 0.84 ÷ 3 = 0.28, and instructions for students to practice dividing decimals by whole numbers. It also provides word problems for students to solve involving dividing the total amount of food for zoo animals by the number of animals to determine how much each animal eats.
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Dividing decimals by_decimals
- 2. Follow these steps and you will be great at dividing decimals! Remember: Whatever you do OUTSIDE – do the same also INSIDE
- 4. Division Vocabulary 64 . 12 2 . 12.64 ÷ .2 12.64 divided by .2
- 5. Steps in Dividing Decimals 1.Make the divisor (outside number) a whole number by moving (swingin’) the decimal to the right as many places as it takes to make it a WHOLE NUMBER. 2.Whatever you do outside (how far it swings), should be done on the inside also.
- 6. 64 . 12 2 . Divisor Moved (swung) the decimal point 1 place to the right
- 7. Steps in Dividing Decimals 2. Move (swing) the decimal point in the dividend the same number of places as the divisor. 64 . 12 2 . Dividend Moved (swung) the decimal point 1 place to the right
- 8. Steps in Dividing Decimals 64 . 12 2 .
- 9. Steps in Dividing Decimals 64 . 12 2 . 3. Place (swing) the decimal point in the answer (quotient) lined up with the decimal point in the dividend (on the roof).
- 10. Steps in Dividing Decimals 4. Now, divide as usual! 4 . 126 2
- 11. Steps in Dividing Decimals 4. Divide the numbers. Make sure the decimal point stays lined up. 4 . 126 2 6 12 6 2 6 4 3
- 12. What is actually happening . . . When you move the decimal one place to the right to create a WHOLE number – you are actually multiplying it by 10! When you move the decimal two places to the right to create a WHOLE number – you are actually multiplying it by 100! Three?
- 13. Remember: The more neatly you write and keep the numbers lined up, the BETTER! Let’s Practice
- 14. Your Turn - Practice 1) 14.2 ÷ 0.2 = 2) 25.5 ÷ 1.5 =