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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 = y × x by taking:
Verify the property: x × y = y × x by taking:
Verify the property: x × y = y × x 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:
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 = 1/2, y = 1/2`
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.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
