Name the property imvolved in the following example- 85-0-8 - 5-0-8 - 5

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Standard VIII

Mathematics

Identities of Mathematical Operations

Name the prop...

Question

^{_{Name the property involved in the following example: 8/5+0=8/5=0+8/5}}

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Solution

There are two properties involved in the given example:

1) Additive Identity of a number 'x' is a number which, when added to 'x' , yields 'x'.
x + 0 = x
Thus, 8/5 + 0 = 8/5

2) Commutative Property: It states that the result of addition remains same irrespective of the order of numbers.
a + b = b + a
Thus, 8/5 + 0 = 0 + 8/5 = 8/5

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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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