Answer:
A. 1 and 1
D. 6 and 1/6
E -4/7 and -7/4
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.