Advertisements
Advertisements
Question
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 3/4, z = 1/4`
Advertisements
Solution
Given, `x = (-1)/2, y = 3/4, z = 1/4`
Now, LHS = x × (y + z)
= `(-1)/2 xx (3/4 + 1/4)`
= `(-1)/2 xx 4/4`
= `(-1)/2`
And RHS = x × y + x × z
= `(-1)/2 xx 3/4 + ((-1)/2) xx 1/4`
= `(-3)/8 - 1/8`
= `(-3 - 1)/8`
= `(-4)/8`
= `(-1)/2`
∴ LHS = RHS
Hence, x × (y + z) = x × y + x × z
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:
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 \[\frac{2}{3}?\]
For all rational numbers a, b and c, a(b + c) = ab + bc.
Simplify the following by using suitable property. Also name the property.
`[1/5 xx 2/15] - [1/5 xx 2/5]`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
