Big Ideas Math: Modeling Real Life, Grade 6
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5. Factoring Expressions
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Exercise 3 Page 231

Practice makes perfect
We want to find the missing value in the given number sentence. 1{4-3.5+3.5-1=\underline{\p

hantom{4563}}} Note that 3.5 is the opposite number of - 3.5. The sum of two opposite numbers is zero. Then, we can remove the sum of

the opposite numbers from the sentence and find the missing value. 4-1=3

We want to find the missing value in the given number sentence. - 2 +4 +4= To add a negative integer and a positive integer, we can model each integer with tiles.

Each red tile represents - 1 and each yellow tile indicates 1. Since - 1 is the opposite number of 1, each pair of yellow-red tiles form a zero pair. The left tiles will be the result of the addition. Let's see how many zero pairs we have in our tiles!

There are 2 zero pairs and 6 yellow tiles left. Then, the result of the addition is 6. - 2 +4 +4=6

We want to find the missing value in the given number sentence. 5 13-7-5-5 13= Note that 5 13 is the opposite of the number - 5 13. The sum of two opposite numbers is zero. Then, we can remove the sum of the opposite numbers from the sentence and find the missing value. - 7-5=- 12