Integer Operations: Adding and Subtracting Negative Numbers Worksheet

Question 1

Find the sum: -7 + 12.

Accepted Answer

The sum is 5 because 12 positive units and 7 negative units cancel to leave 5 positive units.

Question 2

Find the sum: -9 + (-4).

Accepted Answer

The sum is -13 because adding two negative numbers gives a negative total, and 9 + 4 = 13.

Question 3

Find the difference: 6 - 14.

Accepted Answer

The difference is -8 because subtracting 14 from 6 moves 14 units left from 6 on a number line.

Question 4

Find the difference: -3 - 8.

Accepted Answer

The difference is -11 because starting at -3 and subtracting 8 means moving 8 more units left.

Question 5

Find the difference: -5 - (-9).

Accepted Answer

The difference is 4 because subtracting -9 is the same as adding 9, so -5 + 9 = 4.

Question 6

Find the value of the expression: 10 + (-16) + 4.

Accepted Answer

The value is -2 because 10 + 4 = 14, and 14 + (-16) = -2.

Question 7

Find the value of the expression: -12 + 7 - (-3).

Accepted Answer

The value is -2 because -12 + 7 = -5, and subtracting -3 is the same as adding 3, so -5 + 3 = -2.

Question 8

The temperature was -4 degrees Celsius in the morning. By afternoon, it rose 11 degrees. What was the afternoon temperature?

Accepted Answer

The afternoon temperature was 7 degrees Celsius because -4 + 11 = 7.

Question 9

A submarine is at a depth of -120 meters. It rises 45 meters. What is its new position relative to sea level?

Accepted Answer

The submarine's new position is -75 meters because -120 + 45 = -75.

Question 10

A football team loses 6 yards on one play and gains 13 yards on the next play. What is the team's total change in yards?

Accepted Answer

The team's total change is a gain of 7 yards because -6 + 13 = 7.

Question 11

Find the missing number: -8 + ___ = 5.

Accepted Answer

The missing number is 13 because -8 + 13 = 5.

Question 12

Find the missing number: 3 - ___ = -9.

Accepted Answer

The missing number is 12 because 3 - 12 = -9.

Question 13

Evaluate: -15 - (-6) + (-2).

Accepted Answer

The value is -11 because -15 - (-6) is -15 + 6, which equals -9, and -9 + (-2) = -11.

Question 14

Which expression has the greater value: -2 - 7 or -2 + 7? Explain.

Accepted Answer

-2 + 7 has the greater value because -2 - 7 = -9, while -2 + 7 = 5, and 5 is greater than -9.

Question 15

A hiker starts at an elevation of 35 meters above sea level, walks down 60 meters, and then climbs up 18 meters. What is the hiker's final elevation?

Accepted Answer

The hiker's final elevation is -7 meters because 35 - 60 + 18 = -7.

Integer Operations: Adding and Subtracting Negative Numbers