Key to "What is the opposite and reciprocal of 13?"

Christian Stewart

Answered question

2023-03-24

What is the opposite and reciprocal of

\frac{1}{3}

Answer & Explanation

2s1or1rogbhj

Beginner2023-03-25Added 6 answers

Step 1. Identify the opposite of

\frac{1}{3}

.
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

\frac{1}{3}

is the negative of

\frac{1}{3}

, that is the number

- \frac{1}{3}

.
Hence, the opposite of

\frac{1}{3}

- \frac{1}{3}

.
Step 2. Identify the reciprocal of

\frac{1}{3}

.
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

\frac{1}{3}

is 1 divided by

\frac{1}{3}

. Discover the value of 1 divided by

\frac{1}{3}

\frac{1}{\frac{1}{3}} = 1 \times \frac{3}{1} \Rightarrow \frac{1}{\frac{1}{3}} = 3

Hence, the reciprocal of the number

\frac{1}{3}

3

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