Integers — Flashcards

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Step 1: One number is positive and the other is negative. Step 2: The product of one positive integer and one negative integer is always negative. Step 3: 5 × 4 = 20, so 5 × (-4) = -20. Answer: -20…

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Step 1: Both integers have the same sign. Step 2: The product of two integers of the same sign is always positive. Step 3: 7 × 6 = 42. Answer: 42…

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Step 1: Count the negative integers. There is 1 negative integer. Step 2: The product of an odd number of negative integers is always negative. Step 3: 3 × 5 × 6 = 90. Step 4: Put the negative sign. A…

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Step 1: Count the negative integers. There are 4 negative integers. Step 2: The product of an even number of negative integers is always positive. Step 3: Multiply the absolute values: 2 × 4 × 6 × 5.

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Each pair of negative integers gives a positive product. If one negative integer is left unpaired, the final product becomes negative. Example: (-2) × (-3) × (-4) Step 1: (-2) × (-3) = 6 Step 2: 6 × (…

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Step 1: Use the multiplicative identity. Step 2: For every integer a, a × 1 = 1 × a = a. Step 3: So 8 × 1 = 8. Answer: 8…

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Step 1: The multiplicative inverse of a non-zero integer a is 1/a. Step 2: It is an integer only for 1 and -1. Step 3: 1 × 1 = 1 and (-1) × (-1) = 1. Answer: Only 1 and -1 have integer multiplicative …

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Step 1: The dividend is positive and the divisor is negative. Step 2: The quotient is negative. Step 3: 132 ÷ 11 = 12. Step 4: Add the negative sign. Answer: -12…