Simplify: 7 times negative 2, plus 4 times negative 7, minus 6.
A48
B-48
C-32
D32
Answer & Solution
Correct answer: B. -48
1. Multiplication comes before addition and subtraction, so multiply each pair first.
2. 7 times negative 2 equals negative 14, and 4 times negative 7 equals negative 28.
3. The expression becomes negative 14, plus negative 28, minus 6.
4. Add left to right: negative 14 plus negative 28 equals negative 42.
5. Finish with negative 42 minus 6, which equals negative 48.
6. Stopping after only the first multiplication and treating the remaining terms as if they were positive would give the wrong value of 32.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 3 "Integers", section 3.4 Multiply and Divide Integers_
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