Name the property involved in the following example. 3/7×1=3/7=1×3/7

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Solution

Here 3/7 * 1= 3/7
shows the multiplicative identity property.For a property with such a long name, it's really a simple math law. The multiplicative identity propertystates that any time you multiply a number by 1, the result, or product, is that original number.

And if we say 3/71=13/7
This shows the commutative property
In mathematics , a binary operation is commutative if changing the order of the operands does not change the result.Operations such as addition and multiplication of numbers are commutative

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Question 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers.
(a) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [- \frac{1}{4} \times \frac{2}{3}] + [- \frac{1}{4} \times (\frac{- 4}{7})]$
(b) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = [\frac{1}{4} \times \frac{2}{3}] - (\frac{- 4}{7})$
(c) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = \frac{2}{3} + (- \frac{1}{4}) \times \frac{- 4}{7}$
(d) $- \frac{1}{4} \times {\frac{2}{3} + (\frac{- 4}{7})} = {\frac{2}{3} + (\frac{- 4}{7})} - \frac{1}{4}$

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