Advertisements
Advertisements
Question
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
Options
`-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)]`
`-1/4 xx {2/3 + ((-4)/7)} = [1/4 xx 2/3] - ((-4)/7)`
`-1/4 xx {2/3 + ((-4)/7)} = 2/3 + (-1/4) xx (-4)/7`
`-1/4 xx {2/3 + ((-4)/7)} = {2/3 + ((-4)/7)} - 1/4`
Advertisements
Solution
`bb(-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)])`
Explanation:
We know that, the distributive property of multiplication over addition for rational numbers can be expressed as a × (b + c) = ab + ac, where a, b and c are rational numbers.
Here, `-1/4 xx {2/3 + ((-4)/7)} = [-1/4 xx 2/3] + [-1/4 xx ((-4)/7)]` is the example of distributive property of multiplication over addition for rational numbers.
APPEARS IN
RELATED QUESTIONS
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
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:
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:
By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
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?
