Advertisements
Advertisements
Question
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Advertisements
Solution
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`
APPEARS IN
RELATED QUESTIONS
Verify the property: x × (y + z) = x × y + x × z by taking:
Name the property of multiplication of rational numbers illustrated by the following statements:
By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
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 = 1/2, y = 1/2`
Simplify the following by using suitable property. Also name the property.
`[1/2 xx 1/4] + [1/2 xx 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?
