Problem 58 - College Algebra Essentials

Question

Rewrite each expression without absolute value bars. $$\frac{-7}{|-7|}$$

Step-by-Step Solution

Answer

-1

Step 1: Understand the absolute value

The absolute value of a number refers to its value, disregarding its sign. Therefore, the absolute value of any positive number is the number itself, while the absolute value of any negative number is its corresponding positive number. Given this, we can say that the absolute value of -7, i.e., | -7 |, is 7.

Step 2: Substitute the absolute value in the expression

Now replace the absolute value of -7, i.e., | -7 |, in the expression with its equivalent value, 7. Hence, the given expression becomes \( \frac{-7}{7} \).

Step 3: Simplify the expression

Now simplify the expression \( \frac{-7}{7} \). On simplification we get -1.