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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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उत्तर
Given, `3/4 xx (8/9 - 40)`
= `3/4 xx 8/9 + (3/4) xx (-40)` ...[By using distributive property over addition]
= `2/3 - 30`
= `(2 - 90)/3`
= `(-88)/3`
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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 × z) = (x × y) × z 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:
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 rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.
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)/5, y = 2/15, z = (-3)/10`
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?
