Integer Operations: Adding and Subtracting Negative Numbers
Practice with positive and negative numbers
Integer Operations: Adding and Subtracting Negative Numbers
Practice with positive and negative numbers
Math - Grade 6-8
- 1
Find the sum: -7 + 12.
When the signs are different, subtract the smaller absolute value from the larger absolute value.
The sum is 5 because 12 positive units and 7 negative units cancel to leave 5 positive units. - 2
Find the sum: -9 + (-4).
The sum is -13 because adding two negative numbers gives a negative total, and 9 + 4 = 13. - 3
Find the difference: 6 - 14.
Start at 6 and move left 14 spaces.
The difference is -8 because subtracting 14 from 6 moves 14 units left from 6 on a number line. - 4
Find the difference: -3 - 8.
The difference is -11 because starting at -3 and subtracting 8 means moving 8 more units left. - 5
Find the difference: -5 - (-9).
Change subtraction of a negative number into addition.
The difference is 4 because subtracting -9 is the same as adding 9, so -5 + 9 = 4. - 6
Find the value of the expression: 10 + (-16) + 4.
The value is -2 because 10 + 4 = 14, and 14 + (-16) = -2. - 7
Find the value of the expression: -12 + 7 - (-3).
Handle the subtraction of a negative first by rewriting it as addition.
The value is -2 because -12 + 7 = -5, and subtracting -3 is the same as adding 3, so -5 + 3 = -2. - 8
The temperature was -4 degrees Celsius in the morning. By afternoon, it rose 11 degrees. What was the afternoon temperature?
The afternoon temperature was 7 degrees Celsius because -4 + 11 = 7. - 9
A submarine is at a depth of -120 meters. It rises 45 meters. What is its new position relative to sea level?
Below sea level is represented by negative numbers, and rising means adding.
The submarine's new position is -75 meters because -120 + 45 = -75. - 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?
The team's total change is a gain of 7 yards because -6 + 13 = 7. - 11
Find the missing number: -8 + ___ = 5.
Ask how far it is from -8 to 5 on a number line.
The missing number is 13 because -8 + 13 = 5. - 12
Find the missing number: 3 - ___ = -9.
The missing number is 12 because 3 - 12 = -9. - 13
Evaluate: -15 - (-6) + (-2).
Rewrite the expression without subtracting a negative number.
The value is -11 because -15 - (-6) is -15 + 6, which equals -9, and -9 + (-2) = -11. - 14
Which expression has the greater value: -2 - 7 or -2 + 7? Explain.
-2 + 7 has the greater value because -2 - 7 = -9, while -2 + 7 = 5, and 5 is greater than -9. - 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?
Going down is subtraction, and climbing up is addition.
The hiker's final elevation is -7 meters because 35 - 60 + 18 = -7.