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Find |−7| − |−3| × (−2), remembering that multiplication comes before subtraction.

Competition practiceNumber & Arithmetic
  • A−13
  • B1
  • C−8
  • D13

Step-by-Step Solution

The modulus bars strip the signs first: |−7| = 7 and |−3| = 3. Multiplication comes before subtraction, so 3 × (−2) = −6, and 7 − (−6) = 7 + 6 = 13. Ignoring the modulus bars altogether gives −7 − 6 = −13; subtracting before multiplying gives (7 − 3) × (−2) = −8; and treating (−2) as +2 gives 7 − 6 = 1.
Answer: D) 13

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