Integer Operations Trainer Worksheet
INTEGER CRUNCH
Part 1: Addition & Subtraction Trainer
Name:
Date:
ADDITION RULES
- Same Signs: Add numbers. Keep the sign.
- Different Signs: Subtract smaller from larger. Keep sign of larger absolute value.
SUBTRACTION RULES
- Double Negative: Change - ( - ) to +
- Rewrite & Solve: Turn subtraction into addition!
A ADDING INTEGERS
Problem 1 (-6) + (-8) = ___
1. Check Signs: Negative & Negative
2. Action: SAME → ADD Them
Workspace
Problem 2 12 + (-5) = ___
1. Check Signs: Positive & Negative
2. Action: DIFFERENT → SUBTRACT
Workspace (Keep sign of larger number!)
Problem 3 (-9) + 15 = ___
1. Check Signs: Negative & Positive
2. Action: DIFFERENT → SUBTRACT
Workspace (Keep sign of larger number!)
Problem 4 (-14) + (-3) = ___
1. Check Signs: Negative & Negative
2. Action: SAME → ADD Them
Workspace
B SUBTRACTING INTEGERS
Problem 5 5 - (-9) = ___
1. Sign Change Alert! Double Negative: - ( - ) becomes + Rewrite as ADDITION: 5 + 9 = _____
Workspace
Problem 6 (-8) - 3 = ___
1. Rewrite Subtraction as Addition: Change - 3 to adding a negative number: Rewrite: (-8) + (-3) = _____
Workspace
Problem 7 (-7) - (-12) = ___
1. Sign Change Alert! Double Negative: - ( - ) becomes + Rewrite: (-7) + 12 = _____
Workspace
Problem 8 4 - 11 = ___
1. Rewrite Subtraction as Addition: Change subtraction to adding a negative: Rewrite: 4 + (-11) = _____
Workspace
Goal: Determine signs correctly before calculating absolute numbers.
Go to Page 2 for Multiplication & Division →
INTEGER CRUNCH
Part 2: Multiplication & Division Trainer
Name:
Date:
THE SIGN RULE FOR MULTIPLY/DIVIDE
- SAME SIGNS always make a POSITIVE (+) answer.
- DIFFERENT SIGNS always make a NEGATIVE (-) answer.
+ × + = +
- × - = +
+ × - = -
- × + = -
C MULTIPLYING INTEGERS
Problem 9 (-4) × 6 = ___
Signs are: Different (- & +)
Answer sign is: NEGATIVE (-)
Workspace: 4 × 6 =
Problem 10 (-5) × (-8) = ___
Signs are: Same (- & -)
Answer sign is: POSITIVE (+)
Workspace: 5 × 8 =
Problem 11 7 × (-9) = ___
Signs are: Different (+ & -)
Answer sign is: NEGATIVE (-)
Workspace: 7 × 9 =
Problem 12 (-3) × 12 = ___
Signs are: Different (- & +)
Answer sign is: NEGATIVE (-)
Workspace: 3 × 12 =
D DIVIDING INTEGERS
Problem 13 (-24) ÷ 6 = ___
Signs are: Different (- & +)
Answer sign is: NEGATIVE (-)
Workspace: 24 ÷ 6 =
Problem 14 (-36) ÷ (-4) = ___
Signs are: Same (- & -)
Answer sign is: POSITIVE (+)
Workspace: 36 ÷ 4 =
Problem 15 45 ÷ (-5) = ___
Signs are: Different (+ & -)
Answer sign is: NEGATIVE (-)
Workspace: 45 ÷ 5 =
Problem 16 (-100) ÷ 10 = ___
Signs are: Different (- & +)
Answer sign is: NEGATIVE (-)
Workspace: 100 ÷ 10 =
Goal: Apply the multiplication and division sign rules consistently.
Amazing job! Review your signs before submitting.
Integer Stories Solver Worksheet
INTEGER STORIES
Two-Step Scaffolding & Real-World Scenarios
Name:
Date:
SOLVING STRATEGY
1. Identify the starting number and action words. 2. Write the equation. 3. Calculate your answer!
Deposit (+) Gain (+) Drop (-) Loss (-)
1
The Bank Account
Your bank card has a balance of -$15. You deposit (add) a birthday check for $40.
Money Theme
STEP 1: Find Integers & Operation
Start: -15 Action: ADD (+) Change: 40
Equation: =
STEP 2: Workspace & Final Answer
2
The Yardage Loss
The football team loses 12 yards on play one (written as -12). On play two, they gain 7 yards (written as +7).
Sports Theme
STEP 1: Find Integers & Operation
Start: -12 Action: ADD (+) Change: 7
Equation: =
STEP 2: Workspace & Final Answer
3
The Temperature Drop
The night air is cold at -4°F. The temperature drops (goes down) by another 10°F by midnight.
Weather Theme
STEP 1: Find Integers & Operation
Start: -4 Action: SUBTRACT (-) Change: 10
Equation: =
STEP 2: Workspace & Final Answer
4
The Submarine Dive
A submarine dives down at a rate of -50 feet every minute. What is its change in depth after 4 minutes?
Sea Theme
STEP 1: Find Integers & Operation
Rate: -50 Action: MULTIPLY (×) Time: 4
Equation: =
STEP 2: Workspace & Final Answer
Goal: Connect real-world situations with integer operation equations.
You did it! Keep up the great work.
