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प्रश्न
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
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उत्तर
Given, `(-3)/5 xx {3/7 + ((-5)/6)}`
= `(-3)/5 xx 3/7 + ((-3)/5) xx ((-5)/6)` ...[Using distributive property of multiplication over addition]
= `(-9)/35 + 15/30`
= `(-54 + 105)/210`
= `51/210`
= `17/70`
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संबंधित प्रश्न
Write five rational numbers greater than − 2
Verify the property: x × (y + z) = x × y + x × z by taking:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
By what number should we multiply \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
Give an example and verify the following statement.
Distributive property of multiplication over subtraction is true for rational numbers. That is, a(b – c) = ab – ac
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
