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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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उत्तर
Given, `3/5 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`
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संबंधित प्रश्न
Write five rational numbers greater than − 2
Verify the property: x × y = y × x 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:
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`
For every rational numbers x, y and z, x + (y × z) = (x + y) × (x + z).
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
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?
