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प्रश्न
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
उत्तर
Given, `[1/5 xx 2/15] - [1/5 xx 2/5]`
= `1/5[2/15 - 2/5]` ...[Using distributive property over addition]
= `1/5[(2 - 6)/15]`
= `(-4)/75`
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संबंधित प्रश्न
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 we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
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
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
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 = (-2)/3, y = (-4)/6, z = (-7)/9`
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?
