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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
3. Adding Rational Numbers
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Exercise 30 Page 22

Recall the Commutative and Associative Properties of Addition.

How Can the Properties of Addition Help Us? Use the Associative Property of Addition to evaluate the sum of the first two terms first
Expression: 1 58

Practice makes perfect

Let's begin by recalling the Commutative and Associative Properties of Addition.

Property Description Using Algebra
Commutative Property of Addition Changing the order of addends does not change the sum. a+b=b+a
Associative Property of Addition Changing the grouping of addends does not change the sum. (a+b)+c=a+(b+c)
We want to find the given expression using mental math. 1/3+(2/3+5/8) We can use the Associative Property of Addition to group 13 and 23 because they add up to 1. This means that our sum simplifies to 1 58. (1/3+2/3)_1+5/8 = 1 58 Thanks to the Associative Property of Addition we were able to evaluate the given expression. Let's check our solution and see the solution process step by step!
1/3+(2/3+5/8)
AssociativePropAdd

Associative Property of Addition

(1/3+2/3)+5/8
AddFrac

Add fractions

1+2/3+5/8
AddTerms

Add terms

3/3+5/8
QuotOne

a/a=1

1+5/8
AddTerms

Add terms

1 58
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arrow_right Try It p.18-19
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Try It 2 (Page 18)
Try It 3 (Page 18)
Try It 4 (Page 19)
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Try It 6 (Page 19)
arrow_right Self-Assessment for Concept & Skills p.19
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arrow_right Self-Assessment for Problem Solving p.20
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