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

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Solution

We have
$\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}$
Let $a = \frac{8}{5}$
so, $a + 0 = 0 + a = a$
The property used is the additive identity.
Additive identity:- The property states that when a number is added to zero it will give the same number. “Zero” is called the identity element, (also known as additive identity). If we add any number with zero, the resulting number will be the same number.

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Q. Name the property involved in the given question:

\frac{8}{5} + 0 = \frac{8}{5} = 0 + \frac{8}{5}

Q. Name the property involved in the following example.

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Q. 8. Vertices (0, +5), foci (0, + 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 involved in the following example: 8/5+0=8/5=0+8/5}}

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