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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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उत्तर
Given, `2/7 xx (7/16 - 21/4)`
= `2/7 xx 7/16 - 2/7 xx 21/4` ...[By using distributive property over addition]
= `1/8 - 3/2`
= `(1 - 12)/8`
= `(-11)/8`
संबंधित प्रश्न
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Verify the distributive property a × (b + c) = (a × b) + (a × c) for the rational numbers a = `(-1)/2`, b = `2/3` and c = `(-5)/6`
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Simplify the following by using suitable property. Also name the property.
`[1/2 xx 1/4] + [1/2 xx 6]`
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
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)/5, y = 2/15, z = (-3)/10`
