Which of the following statements is logically consistent with the definition of

Practice Questions

Q1
Which of the following statements is logically consistent with the definition of a multiple?
  1. A multiple of a number is always greater than the number itself.
  2. A multiple of a number can be negative.
  3. A multiple of a number is always an integer.
  4. All of the above.

Questions & Step-by-Step Solutions

Which of the following statements is logically consistent with the definition of a multiple?
  • Step 1: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer.
  • Step 2: Recognize that integers include both positive and negative whole numbers, as well as zero.
  • Step 3: Realize that a number is also considered a multiple of itself because you can multiply it by 1 (the integer).
  • Step 4: Conclude that since multiples can be negative, can be equal to the number, and are always integers, all statements about multiples are true.
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