Complete multiplication and division sentences with integers
Key Notes:
Multiplying integers rules:
✅ Positive × Positive = Positive
- Example: 3×4=123 × 4 = 123×4=12
🌞 Both numbers positive → result positive
✅ Negative × Negative = Positive
- Example: −3×−4=12-3 × -4 = 12−3×−4=12
❄️ Two negatives cancel → result positive
✅ Positive × Negative = Negative
- Example: 3×−4=−123 × -4 = -123×−4=−12
🌞 × ❄️ = ❄️ → result negative
Key tip:
Think “Same signs → +, Different signs → -” 💡
Complete the multiplication sentence:
Example: ?×−6=18? × -6 = 18?×−6=18
- Step 1: Divide 18 ÷ -6
- Step 2: Answer = -3
- ✅ So, −3×−6=18-3 × -6 = 18−3×−6=18
🔢 Complete Division Sentences with Integers
Dividing integers rules:
✅ Positive ÷ Positive = Positive
- Example: 12÷3=412 ÷ 3 = 412÷3=4
✅ Negative ÷ Negative = Positive
- Example: −12÷−3=4-12 ÷ -3 = 4−12÷−3=4
✅ Positive ÷ Negative = Negative
- Example: 12÷−3=−412 ÷ -3 = -412÷−3=−4
✅ Negative ÷ Positive = Negative
- Example: −12÷3=−4-12 ÷ 3 = -4−12÷3=−4
Key tip:
Division works like multiplication: Same signs → +, Different signs → – ⚡
Complete the division sentence:
Example: ?÷−4=6? ÷ -4 = 6?÷−4=6
- Step 1: Multiply 6 × -4 = -24
- ✅ So, −24÷−4=6-24 ÷ -4 = 6−24÷−4=6
📝 Extra Tips for Students:
Always check signs first ✅
Use a number line for visual help 🟢🔴
Remember:
- Multiplication → repeated addition
- Division → repeated subtraction or splitting
Learn with an example
➡️ Type the integer that makes the following multiplication number sentence true:
_____× -2 = 10
Decide which number makes the multiplication number sentence true.
First, ignore any negatives and find the missing number:
5 × 2 = 10
Now figure out whether the 5 should be positive or negative. Look back at the original equation. Something times negative 2 equals positive 10. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.
Try -5 and make sure it works.
-5 × -2 = 10
The number -5 gives the correct result of 10, so the answer is -5.
➡️ Type the integer that makes the following multiplication number sentence true:
-3 × ____ = 21
Decide which number makes the multiplication number sentence true.
First, ignore any negatives and find the missing number:
3 × 7 = 21
Now figure out whether the 7 should be positive or negative. Look back at the original equation. Negative 3 times something equals positive 21. Remember your integer multiplication rules: a negative times a negative equals a positive. According to this rule, the missing integer must be negative.
Try –7 and make sure it works.
–3 × –7 = 21
The number –7 gives the correct result of 21, so the answer is –7.
🔥Type the integer that makes the following multiplication number sentence true:
—–× -6 = -18.
Decide which number makes the multiplication number sentence true.
First, ignore any negatives and find the missing number:
3 × 6 = 18
Now figure out whether the 3 should be positive or negative. Look back at the original equation. Something times negative 6 equals negative 18. Remember your integer multiplication rules: a positive times a negative equals a negative. According to this rule, the missing integer must be positive.
Try 3 and make sure it works.
3 × -6 = -18
The number 3 gives the correct result of –18, so the answer is 3.
Try some practice problems!
