Question

|-7 - 3| help me please! And |3 - (-7)|.

Options:

|-7 - 3| = 10
|-7 - 3| = -10
|3 - (-7)| = 10
|3 - (-7)| = -10

Answer 1

The absolute value of |-7 - 3| is 10, and |3 - (-7)| is also 10, since absolute value represents the distance from zero and is always non-negative.

Step-by-step explanation:

The question asks us to solve two different absolute value expressions: |-7 - 3| and |3 - (-7)|. To solve these, we need to evaluate the expressions inside the absolute value signs and then take the positive value of the result.

• For |-7 - 3|, first we perform the subtraction inside the absolute value: -7 minus 3 equals -10. The absolute value of -10 is 10. So, |-7 - 3| = 10.
• For |3 - (-7)|, we change the subtraction of a negative number to addition: 3 plus 7 equals 10. The absolute value of 10 is 10. Therefore, |3 - (-7)| = 10.

Remember, the absolute value of a number is its distance from zero on the number line, which is always a non-negative number.