The property under multiplication used in each of the following is the
$\frac{- 19}{29} \times \frac{29}{- 19} = 1$

Commutative Property

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Multiplicative inverse

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Associative Property

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Indentity Property

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Solution

The correct option is A Multiplicative inverse
The multiplicative inverse for any number $n$ is $\frac{1}{n}$ where $n \neq 0.$ The product of a number and its multiplicative inverse is $1$ .

Let us take a number $n = \frac{- 19}{29}$ , then according to the definition, the multiplicative inverse of $n$ is

$\frac{1}{n} = \frac{29}{- 19}$

Now consider the product of $n$ and $\frac{1}{n}$ as follows:

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

Hence, multiplicative inverse property is used in $\frac{- 19}{29} \times \frac{29}{- 19} = 1$

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Similar questions

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

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

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

(iii) $\frac{- 19}{29} \times \frac{29}{- 19} = 1$

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

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

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

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

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