To determine the sign of each product or quotient, we'll apply the rule that a product or quotient is positive if it contains an even number of negative factors and negative if it contains an odd number of negative factors.
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−13 × (−56): Both numbers are negative. The product of two negative numbers is positive.
- Sign: Positive
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-25.6 x 13.2: One number is negative and the other is positive. The product of one negative and one positive number is negative.
- Sign: Negative
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52 ÷ 13: Both numbers are positive. The quotient of two positive numbers is positive.
- Sign: Positive
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-0.5 ÷ (0.1): One number is negative and the other is positive. The quotient of one negative and one positive number is negative.
- Sign: Negative
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-5 (-3) x 7: Here, we have two negative numbers (-5 and -3) and one positive number (7). The product of two negative numbers is positive, and then multiplying that result by a positive number is still positive.
- Sign: Positive
Here’s a summary of the signs:
- Positive
- Negative
- Positive
- Negative
- Positive