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प्रश्न
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
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उत्तर
Given, `[1/5 xx 2/15] - [1/5 xx 2/5]`
= `1/5[2/15 - 2/5]` ...[Using distributive property over addition]
= `1/5[(2 - 6)/15]`
= `(-4)/75`
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संबंधित प्रश्न
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
Name the property of multiplication of rational numbers illustrated by the following statements:
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
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 3/4, z = 1/4`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
