Multiply and divide signed numbers and interpret sign patterns correctly.
Choose a smart strategy for signed multiplication and division
Problem
Evaluate \(-36~\div~-9\) by comparing these strategies: A, determine the quotient sign and then divide absolute values; B, ignore signs; C, make same signs negative; D, use an incorrect related fact. Choose the strategy that works, then give the quotient.
Big Picture
What this problem is really about
A sign-first strategy keeps the two decisions from getting tangled. Because the dividend and divisor have matching negative signs, the quotient is positive; then divide their absolute values to obtain its magnitude. Check the result with the related multiplication fact and report both the strategy letter and quotient.
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