Which statement is always true about a non-zero number and its opposite?

They are both positive numbers.

They are both negative numbers.

One is positive and one is negative.

They are located on the same side of zero.

4-2 Opposites and Absolute Value Practice — Grade 6 math

1. On a number line, the opposite of the number $-15$ is ___.
2. What is the simplified value of the expression $-(-11)$?
- A. 11
- B. -11
- C. 0
- D. 22
3. Which statement is always true about a non-zero number and its opposite?
- A. They are both positive numbers.
- B. They are both negative numbers.
- C. One is positive and one is negative.
- D. They are located on the same side of zero.
4. If a withdrawal of 40 dollars is represented by the number $-40$, its opposite, a deposit of 40 dollars, is represented by the number ___.
5. Calculate the value of the expression $-(-(-20))$. The result is ___.
6. A temperature of 25 degrees below zero is recorded as -25 degrees Celsius. What is the absolute value of this temperature, $|-25|$? The value is ___.
7. Which of the following statements best explains why $|-9|$ and $|9|$ are equal?
- A. Both -9 and 9 are integers.
- B. One number is positive and one is negative.
- C. Both numbers are the same distance from zero.
- D. Adding the numbers results in zero.
8. Evaluate the expression by simplifying inside the absolute value bars first: $|-13 + 5|$. The result is ___.
9. Evaluate the expression: $20 - |4 - 11|$. The value is ___.
10. Which one of the following mathematical statements is true?
- A. $|-6| = -6$
- B. $|2 - 10| = |10 - 2|$
- C. $|-4| < |3|$
- D. $|5+3| = |5| - |3|$