Advertisements
Advertisements
Question
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Solution
Given, `2/7 xx (7/16 - 21/4)`
= `2/7 xx 7/16 - 2/7 xx 21/4` ...[By using distributive property over addition]
= `1/8 - 3/2`
= `(1 - 12)/8`
= `(-11)/8`
APPEARS IN
RELATED QUESTIONS
Verify the property: x × y = y × x by taking:
Verify the property: x × y = y × x 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:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
By what number should \[\frac{- 3}{4}\] be multiplied in order to produce \[\frac{2}{3}?\]
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-2)/3, y = (-4)/6, z = (-7)/9`
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?