Advertisements
Advertisements
Question
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
Advertisements
Solution
Given, `(-3)/5 xx {3/7 + ((-5)/6)}`
= `(-3)/5 xx 3/7 + ((-3)/5) xx ((-5)/6)` ...[Using distributive property of multiplication over addition]
= `(-9)/35 + 15/30`
= `(-54 + 105)/210`
= `51/210`
= `17/70`
APPEARS IN
RELATED QUESTIONS
Verify the property: x × y = y × x by taking:
Verify the property: x × (y × z) = (x × y) × z by taking:
Verify the property: x × (y + z) = x × y + x × z by taking:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Which of the following is an example of distributive property of multiplication over addition for rational numbers?
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.
`[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)/2, y = 3/4, z = 1/4`
