Mastering Integers and Absolute Values

Answer explanation

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of -12 is 12, making the correct answer 12.

Tags

CCSS.6.NS.C.7C

Answer explanation

The opposite number of -8 is 8. Opposite numbers are equal distances from zero on the number line but in opposite directions. Therefore, the correct answer is 8.

Tags

CCSS.6.NS.C.6A

Answer explanation

To calculate the sum, add -9 and 14: -9 + 14 = 5. Therefore, the correct answer is 5.

Tags

CCSS.7.NS.A.1C

Answer explanation

To solve -7 - (-10), first simplify the double negative: -7 + 10. This equals 3, which is the correct answer.

Tags

CCSS.7.NS.A.1C

Answer explanation

To multiply two negative integers, the result is positive. Here, -5 times -7 equals 35. Therefore, the correct answer is 35.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Answer explanation

To divide -24 by 6, we calculate -24 ÷ 6 = -4. The negative sign indicates the result is also negative. Therefore, the correct answer is -4.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

Answer explanation

The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of -25 is 25, making the correct answer 25.

Tags

CCSS.6.NS.C.7C

Answer explanation

The opposite number of a given number is its negative. For 11, the opposite is -11, as it represents the same distance from zero on the number line but in the opposite direction.

Tags

CCSS.6.NS.C.6A

Answer explanation

To calculate the sum, add -15 and -6. Since both numbers are negative, you combine their absolute values: 15 + 6 = 21. The result is negative, so the final answer is -21, which is the correct choice.

Tags

CCSS.7.NS.A.1C

Answer explanation

To find the result of 20 - 35, subtract 35 from 20. This gives -15, which is the correct answer. The other options do not represent the result of this subtraction.

Tags

CCSS.7.NS.A.1C