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Question

What is the opposite and reciprocal of 13?


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Solution

Step 1. Determine the opposite of 13.

The term opposite represents the additive inverse of a number. The sum of the number and its additive inverse is 0.

The number which gives 0 on adding with 13 is the negative of 13, that is the number -13.

Therefore, the opposite of 13 is -13.

Step 2. Determine the reciprocal of 13.

The term reciprocal represents the multiplicative inverse of a number. The sum of the number and its multiplicative inverse is 1.

The number that gives 1 on multiplication with 13 is 1 divided by 13. Find the value of 1 divided by 13:

113=1×31113=3

Therefore, the reciprocal of the number 13 is 3.


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