Division of Integers
Learning the rules for dividing positive and negative integers.
Core concept
For example, (-12) ÷ (-3) = 4 (same sign, so positive), while 12 ÷ (-3) = -4 (different signs, so negative). Since division and multiplication are inverse operations, checking a division answer by multiplying the quotient back by the divisor (and confirming it gives the original dividend) is a useful way to verify integer division calculations are correct, especially when dealing with negative numbers where sign errors are common.
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• Same sign ÷ same sign = positive quotient (e.g., (-12)÷(-3)=4).
• Different signs ÷ different signs = negative quotient (e.g., 12÷(-3)=-4).
• Division sign rules mirror multiplication sign rules, since they are inverse operations.
• Checking division by multiplying the quotient back by the divisor helps verify the answer.