Mathematics Quiz - Multiplication by Zero

Quiz Question Overview

  • Question Number: 10
  • Question Content: What is the result of 0×(7)?0 \times (-7)?

Answer Choices

  • Option A: 7
  • Option B: 0
  • Option C: -7
  • Option D: Undefined

Correct Answer

  • The correct answer is Option B: 0.

Explanation of the Concept

  • Multiplication by Zero: In mathematics, any number multiplied by zero results in zero. This can be expressed mathematically as:

    • a×0=0a \times 0 = 0 for any real number aa.
  • Therefore, applying this rule:

    • 0×(7)=00 \times (-7) = 0.

Related Concepts

  • Properties of Zero:
    • Zero is the additive identity (i.e., a+0=aa + 0 = a for any number aa).
    • Zero is the multiplicative absorptive (i.e., 0×a=00 \times a = 0 for any number aa).