Advertisements
Advertisements
Question
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Advertisements
Solution
Given, `(-5)/4 xx (8/5 + 16/15)`
= `(-5)/4 xx 8/5 + ((-5)/4) xx (16/15)` ...[By using distributive property over addition]
= `-2 - 4/3`
= `(-6 - 4)/3`
= `(-10)/3`
RELATED QUESTIONS
Verify the property: x × y = y × x by taking:
Verify the property: x × y = y × x by taking:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
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`
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)` = ______ + ______.
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.
`[1/2 xx 1/4] + [1/2 xx 6]`
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?
