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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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उत्तर
Given, `(-5)/4 xx (8/5 + 16/15)`
= `(-5)/4 xx 8/5 + ((-5)/4) xx (16/15)` ...[By using distributive property over addition]
= `-2 - 4/3`
= `(-6 - 4)/3`
= `(-10)/3`
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संबंधित प्रश्न
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:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]
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`
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.
| Name | Distance covered (km) |
| Seema | `1/25` |
| Nancy | `1/32` |
| Megha | `1/40` |
| Soni | `1/20` |
Who walked farther, Nancy or Megha?
