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प्रश्न
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
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
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:
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:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
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`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
