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

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Question: Which of the following statements is logically consistent with the definition of a multiple?

Options:

  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.

Correct Answer: All of the above.

Solution: 

All statements are true; multiples can be negative, can be equal to the number, and are always integers.

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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