Is 0-3 the multiplicative inverse of 31-3- Why or why not-

31/3= 10/3 nbsp; The multiplicative inverse of a rational number a is 1/a because a×1/a=1. So, 0.3× 31/3=3/10×10/3=1. Therefore, 0.3 is the multiplicative inv ...

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Standard VIII

Mathematics

Multiplication of Negative Numbers

Is 0.3 the mu...

Question

Is 0.3 the multiplicative inverse of $3 \frac{1}{3}$ ? Why or why not?

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Solution

$3 \frac{1}{3} = \frac{10}{3}$
The multiplicative inverse of a rational number a is $\frac{1}{a} b e c a u s e a \times \frac{1}{a} = 1.$
So, $0.3 \times 3 \frac{1}{3} = \frac{3}{10} \times \frac{10}{3} = 1$ .
Therefore, 0.3 is the multiplicative inverse of $3 \frac{1}{3}$ .

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Is 0.3 the multiplicative inverse of 313? Why or why not?

313=103 The multiplicative inverse of a rational number a is 1a because a×1a=1. So, 0.3×313=310×103=1. Therefore, 0.3 is the multiplicative inverse of 313.

Is 0.3 the multiplicative inverse of $3 \frac{1}{3}$ ? Why or why not?

$3 \frac{1}{3} = \frac{10}{3}$
The multiplicative inverse of a rational number a is $\frac{1}{a} b e c a u s e a \times \frac{1}{a} = 1.$
So, $0.3 \times 3 \frac{1}{3} = \frac{3}{10} \times \frac{10}{3} = 1$ .
Therefore, 0.3 is the multiplicative inverse of $3 \frac{1}{3}$ .