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28 August, 00:40

Which pairs of numbers represent a number and its reciprocal? Check all that apply.

1 and 1

and

and 5

6 and

and

+2
Answers (1)
  1. 28 August, 04:24
    0
    A. 1 and 1 D. 6 and 1/6 E - 4/7 and - 7/4

    Step-by-step explanation:

    The question is incomplete. Here is the complete question.

    Which pairs of numbers represent a number and its reciprocal?

    A. 1 and 1

    B. 2/3 and - 3/2

    C. 1/2 and 5

    D. 6 and 1/6

    E - 4/7 and - 7/4

    Reciprocal of a number is simply 1 divided by such number. For example the reciprocal of a is 1/a where is any number.

    Based on the definition, the following pair of numbers represent a number and its reciprocal

    1 and 1

    The reciprocal of 1 is 1/1 which is equal to 1

    6 and 1/6;

    Since I can divide 1 by 6 to get 1/6, this means that 1/6 is the reciprocal of 6. The pair 6 and 1/6 therefore represent a number and its reciprocal.

    -4/7 and - 7/4

    reciprocal of - 4/7 will be 1 / (-4/7) = 1 * 7/-4 = - 7/4. This shows that - 7/4 is the reciprocal of - 4/7 hence - 4/7 and - 7/4 represents a number and its reciprocal.
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