using properties of addition tell whether the commutative or associative property of addition allows...
TRANSCRIPT
![Page 1: Using Properties of Addition Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown. EXAMPLE 4 Explain](https://reader035.vdocument.in/reader035/viewer/2022062217/5697bfbd1a28abf838ca1fac/html5/thumbnails/1.jpg)
Using Properties of Addition
Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown.
EXAMPLE 4
Explain your choice.
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Using Properties of Addition
a.
EXAMPLE 4
Tell whether the commutative or associative property ofaddition allows you to rewrite the problem as shown. Explain your choice.
4 + 2.75 + 11 = 2.75 + 4 + 11
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Using Properties of Addition
a.
EXAMPLE 4
Tell whether the commutative or associative property ofaddition allows you to rewrite the problem as shown. Explain your choice.
4 + 2.75 + 11 = 2.75 + 4 + 11The order of the numbers haschanged. This is allowed bythe commutative propertyof addition.
![Page 4: Using Properties of Addition Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown. EXAMPLE 4 Explain](https://reader035.vdocument.in/reader035/viewer/2022062217/5697bfbd1a28abf838ca1fac/html5/thumbnails/4.jpg)
Using Properties of Addition
a.
EXAMPLE 4
Tell whether the commutative or associative property ofaddition allows you to rewrite the problem as shown. Explain your choice.
4 + 2.75 + 11 = 2.75 + 4 + 11The order of the numbers haschanged. This is allowed bythe commutative propertyof addition.
b. (3.5 + 10) + 7 = 3.5 + (10 + 7)
![Page 5: Using Properties of Addition Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown. EXAMPLE 4 Explain](https://reader035.vdocument.in/reader035/viewer/2022062217/5697bfbd1a28abf838ca1fac/html5/thumbnails/5.jpg)
Using Properties of Addition
a.
EXAMPLE 4
Tell whether the commutative or associative property ofaddition allows you to rewrite the problem as shown. Explain your choice.
4 + 2.75 + 11 = 2.75 + 4 + 11The order of the numbers haschanged. This is allowed bythe commutative property
b. (3.5 + 10) + 7 = 3.5 + (10 + 7)The grouping of the numbershas changed. This is allowedby the associative propertyof addition.
of addition.
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Standardized Test Practice
EXAMPLE 5
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SOLUTION
Standardized Test Practice
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
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SOLUTION
Standardized Test Practice
Money earned Selling price – Purchase price – Fees
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
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SOLUTION
Standardized Test Practice
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
= 141.82 – 97.56 – 8.25 Substitute.
Money earned Selling price – Purchase price – Fees
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SOLUTION
Standardized Test Practice
Money earned Selling price – Purchase price – Fees
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
= 141.82 – 97.56 – 8.25= 44.26 – 8.25
Substitute.
Subtract.
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SOLUTION
Standardized Test Practice
Money earned Selling price – Purchase price – Fees
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
= 141.82 – 97.56 – 8.25= 44.26 – 8.25= 36.01
Substitute.
Subtract.
Subtract.
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SOLUTION
Standardized Test Practice
Money earned Selling price – Purchase price – Fees
EXAMPLE 5
Write a verbal model to help you find the amount you earn.
= 141.82 – 97.56 – 8.25= 44.26 – 8.25= 36.01
Substitute.
Subtract.
Subtract.
Your sale earns you $36.01.ANSWER
The correct answer is A.
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Standardized Test Practice
EXAMPLE 5
Check - Use estimation to check that your answer is reasonable.Round $141.82 to $142, $97.56 to $98, and $8.25 to $8.Because 142 – 98 – 8 = 36, the answer is reasonable.
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GUIDED PRACTICE for Examples 4 and 5
Tell whether the commutative or associative property allows you to rewrite the problem as shown. Explain your choice. Then find the sum.
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GUIDED PRACTICE
Tell whether the commutative or associative property allows you to rewrite the problem as shown. Explain your choice. Then find the sum.
5.
(6.4 + 4.8) + 5.2 = 6.4 + (4.8 + 5.2)
for Examples 4 and 5
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GUIDED PRACTICE
Tell whether the commutative or associative property allows you to rewrite the problem as shown. Explain your choice. Then find the sum.
5.
(6.4 + 4.8) + 5.2 = 6.4 + (4.8 + 5.2)The grouping of the numbershas changed. This is allowedby the associative propertyof addition.
for Examples 4 and 5
![Page 17: Using Properties of Addition Tell whether the commutative or associative property of addition allows you to rewrite the problem as shown. EXAMPLE 4 Explain](https://reader035.vdocument.in/reader035/viewer/2022062217/5697bfbd1a28abf838ca1fac/html5/thumbnails/17.jpg)
GUIDED PRACTICE
Tell whether the commutative or associative property allows you to rewrite the problem as shown. Explain your choice. Then find the sum.
5.
(6.4 + 4.8) + 5.2 = 6.4 + (4.8 + 5.2)The grouping of the numbershas changed. This is allowedby the associative propertyof addition.
for Examples 4 and 5
6. 9.3 + 2.9 = 2.9 + 9.3
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GUIDED PRACTICE
Tell whether the commutative or associative property allows you to rewrite the problem as shown. Explain your choice. Then find the sum.
5.
6.
(6.4 + 4.8) + 5.2 = 6.4 + (4.8 + 5.2)
9.3 + 2.9 = 2.9 + 9.3The order of the numbers haschanged. This is allowed bythe commutative property
The grouping of the numbershas changed. This is allowedby the associative propertyof addition.
of addition.
for Examples 4 and 5
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GUIDED PRACTICE
Suppose you bought the book in Example 5 for$78.45, you sold the book for $126.78, and the auction fees were the same. How much would you earn selling the book?
7. What if?
for Examples 4 and 5
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ANSWER
GUIDED PRACTICE
Suppose you bought the book in Example 5 for$78.45, you sold the book for $126.78, and the auction fees were the same. How much would you earn selling the book?
Your sale earns you $40.08.
for Examples 4 and 5
7. What if?