Name the property involved in the following example.
$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$ .

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Solution

$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$
$∵$ we add $0 .$ $($ Which is an identity $)$
Hence it is an identity property or Additive Identity

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

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Name the property involved in the following example.85+0=85=0+85.

85+0=85=0+85∵ we add 0. ( Which is an identity)Hence it is an identity property or Additive Identity

Name the property involved in the following example.
$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$ .

$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$
$∵$ we add $0 .$ $($ Which is an identity $)$
Hence it is an identity property or Additive Identity