Find the multiplicative inverse of the following-i -13 ii -1319 iii 15

(i) The multiplicative inverse of 13 is 113 . Since ( 13).1 13=1 (Multiplicative identity) #160; #160; #160;(ii) #160;The multiplica ...

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Standard VII

Mathematics

Types of Fractions

Find the mult...

Question

Find the multiplicative inverse of the following.
(i) $- 13$ (ii) $\frac{- 13}{19}$ (iii) $\frac{1}{5}$

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Solution

(i) The multiplicative inverse of $- 13$ is $- \frac{1}{13}$ . Since $(- 13) . \frac{1}{- 13} = 1$ (Multiplicative identity)
(ii) The multiplicative inverse of $\frac{- 13}{19}$ is $- \frac{19}{13}$ . Since $\frac{(- 13)}{19} . \frac{19}{- 13} = 1$ (Multiplicative identity)
(iii)The multiplicative inverse of $\frac{1}{5}$ is $5$ . Since $\frac{1}{5} .5 = 1$ (Multiplicative identity)

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Similar questions

Find the multiplicative inverse of the following.

(i) (ii) (iii)

(iv) (v) (vi) −1

Q. Name the property under multiplication used in each of the following.
(i)

\frac{- 4}{5} \times 1 = 1 \times \frac{- 4}{5} = - \frac{4}{5}

(ii)

- \frac{13}{17} \times \frac{- 2}{7} = \frac{- 2}{7} \times \frac{- 13}{17}

(iii)

\frac{- 19}{29} \times \frac{29}{- 19} = 1

Q. Find the multiplicative inverse of the following:

- 13

- \frac{13}{19}

and

- \frac{5}{8} \times - \frac{3}{7}

Q. Question 4(ii)
Find the multiplicative inverse of the following:

\frac{- 13}{19}

$Find the reciprocal (multiplicative inverse) of : (i) \frac{3}{5} \times \frac{2}{3} (i i) \frac{- 8}{3} \times \frac{13}{- 7} (i i i) \frac{- 3}{5} \times \frac{- 1}{13}$

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Find the multiplicative inverse of the following.(i) −13 (ii) −1319 (iii) 15

(i) The multiplicative inverse of −13 is −113. Since (−13).1−13=1 (Multiplicative identity) (ii) The multiplicative inverse of −1319is −1913. Since (−13)19.19−13=1 (Multiplicative identity) (iii)The multiplicative inverse of 15 is 5. Since 15.5=1 (Multiplicative identity)

Find the multiplicative inverse of the following.
(i) $- 13$ (ii) $\frac{- 13}{19}$ (iii) $\frac{1}{5}$