Dividing Integers Worksheet
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Dividing Integers Worksheet
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Worked Example
Problem: (−45) ÷ (−9)
- Identify the signs: both the dividend and divisor are negative.— Settling the sign before dividing keeps the steps clean.
- Same signs → positive quotient.— Negative ÷ Negative = Positive (mirrors the multiplication sign rule).
- Divide the absolute values: 45 ÷ 9 = 5— Work with magnitudes only after the sign is determined.
- Combine: the quotient is +5.— Attach the positive sign from step 2.
Answer: (−45) ÷ (−9) = 5
Frequently Asked Questions
Yes, exactly the same. Same signs → positive quotient. Different signs → negative quotient. Divide the absolute values, then apply the sign.
Dividing by −1 flips the sign, just like multiplying by −1. So 15 ÷ (−1) = −15 and (−9) ÷ (−1) = 9.
Yes — zero divided by any nonzero integer is zero. 0 ÷ (−5) = 0. However, dividing by zero is undefined, regardless of the sign.
Problems are constructed so the divisor evenly divides the dividend. This keeps the focus on sign rules rather than fraction or decimal arithmetic.
Multiply the quotient by the divisor — you should get back the dividend. For example, if −35 ÷ 7 = −5, check: (−5) × 7 = −35. Correct.