Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Verify the property: x × (y + z) = x × y + x × 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:
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?
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`
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/5, y = (-9)/10`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-2)/3, y = (-4)/6, z = (-7)/9`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
