Name the property used in each of the following 38- 1 - 1 -38 - 38

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Standard VIII

Mathematics

Inverse Properties of Mathematical Operations

Name the prop...

Question

Name the property used in each of the following
$\frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$

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Solution

Step : Identify the property
The multiplicative identity of any rational number x is 1.
i.e., $(x \times 1) = (1 \times x) = x$
$\Rightarrow \frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$
Thus, the multiplicative identity of rational number is used in the given expression.

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Q. Question 124(v)
Name the property used in each of the following:

\frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}

$Name the multiplication property of rational numbers shown below: (i) \frac{3}{5} \times \frac{- 8}{9} = \frac{- 8}{9} \times \frac{3}{5} (i i) \frac{- 3}{4} \times (\frac{5}{7} \times \frac{- 8}{15}) = (\frac{- 3}{5} \times \frac{5}{7}) \times \frac{- 8}{15} (i i i) \frac{4}{5} \times (\frac{3}{- 8} + \frac{- 4}{7}) = \frac{4}{5} \times \frac{3}{- 8} + \frac{4}{5} \times \frac{- 4}{7} (i v) \frac{- 7}{5} \times \frac{5}{- 7} = 1 (v) \frac{8}{- 9} \times 1 = 1 \times \frac{8}{- 9} = \frac{8}{- 9} (v i) \frac{- 3}{4} \times 0 = 0$

Name the property used in each of the following:
$\frac{1}{3} + [\frac{4}{9} + (\frac{- 4}{3})] = [\frac{1}{3} + \frac{4}{9}] + [\frac{- 4}{3}]$

Q. Question 124(ii)
Name the property used in each of the following:

\frac{- 2}{3} \times [\frac{3}{4} + \frac{- 1}{2}] = [\frac{- 2}{3} \times \frac{3}{4}] + [\frac{- 2}{3} \times \frac{- 1}{2}]

Q. Use the properties of an equality to solve the following equations.

(8)

1 = \frac{x}{3}

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Inverse Properties of Mathematical Operations

Standard VIII Mathematics

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Name the property used in each of the following 38×1=1×38=38

Step : Identify the property The multiplicative identity of any rational number x is 1. i.e., (x×1)=(1×x)=x ⇒38×1=1×38=38 Thus, the multiplicative identity of rational number is used in the given expression.

Name the property used in each of the following
$\frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$

Step : Identify the property
The multiplicative identity of any rational number x is 1.
i.e., $(x \times 1) = (1 \times x) = x$
$\Rightarrow \frac{3}{8} \times 1 = 1 \times \frac{3}{8} = \frac{3}{8}$
Thus, the multiplicative identity of rational number is used in the given expression.