Home > CC1 > Chapter 6 > Lesson 6.1.1 > Problem6-7

6-7.
1. Simplify each numerical expression. Homework Help ✎

1. 2

Simplify within the absolute value signs first.

|5 − 6 + 1| = |0|

The absolute value of 0 is 0.

First, find the absolute value of −16.75.

The absolute value is the distance a number is away from 0.
It is always a non-negative number.
Since −16.75 is 16.75 units away from zero, the absolute value is 16.75.
What is the product of 2(16.75)?

Simplify within the absolute value signs first.

$6\frac{3}{8}-2=\frac{51}{8}-\frac{2}{1}=\frac{51}{8}-\frac{16}{8}=\frac{35}{8}$

$-8\frac{5}{8}+(-1)= -\frac{69}{8}+\left(-\frac{1}{1}\right)=-\frac{69}{8}+\left(-\frac{8}{8}\right)=-\frac{77}{8}$

$\text{Therefore, we have: } \left | \frac{35}{8} \right |+\left | -\frac{77}{8} \right |$

What is the absolute value for each of these numbers?

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