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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
उत्तर
Given, `3/5 xx (35/24 + 10/1)`
= `3/5 xx 35/24 + 3/5 xx 10/1` ...[By using distributive property over addition]
= `7/8 + 6/1`
= `(7 + 48)/8`
= `55/8`
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:
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:
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).
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 = (-2)/3, y = (-4)/6, z = (-7)/9`
