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प्रश्न
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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`
संबंधित प्रश्न
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
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`
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 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 = (-3)/7, y = 20/21`
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
Name the property used in the following.
`-2/3 xx [3/4 + (-1)/2] = [(-2)/3 xx 3/4] + [(-2)/3 xx (-1)/2]`
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?
