Multiplying Integers Worksheet
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Multiplying Integers Worksheet
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Worked Example
Problem: (−6) × (−8)
- Identify the signs: both factors are negative.— Checking signs first means you can determine the sign of the answer before doing any arithmetic.
- Same signs → positive product.— Negative × Negative = Positive (one of the four sign rules for integer multiplication).
- Multiply the absolute values: 6 × 8 = 48— Work with the magnitudes only once the sign is settled.
- Combine: the product is +48.— Attach the positive sign determined in step 2.
Answer: (−6) × (−8) = 48
Frequently Asked Questions
Same signs → positive product (pos × pos or neg × neg). Different signs → negative product (pos × neg or neg × pos). Multiply the absolute values, then apply the sign.
Think of it as repeated subtraction reversing direction. More formally, it follows from the distributive property: if (−1)(−1) were negative, the distributive law would break, so it must be +1.
Count the number of negative factors. An even count of negatives gives a positive product; an odd count gives a negative product. Then multiply all the absolute values.
Multiplying by −1 just flips the sign. (−1) × 7 = −7 and (−1) × (−4) = 4. It is the quickest way to find the additive inverse of a number.
No — multiplication is commutative, so (−5) × 3 = 3 × (−5) = −15. The sign rules apply regardless of the order.