Advertisements
Advertisements
प्रश्न
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
Advertisements
उत्तर
Given, `x = (-1)/2, y = 2/3, z = 3/4`
Now, LHS = x × (y + z)
= `(-1)/2 xx (2/3 + 3/4)`
= `(-1)/2 xx ((8 + 9)/12)`
= `(-1)/2 xx 17/12`
= `(-17)/24`
And RHS = x × y + x × z
= `(-1)/2 xx 2/3 + ((-1)/2) xx 3/4`
= `(-1)/3 - 3/8`
= `(-8 - 9)/24`
= `(-17)/24`
∴ LHS = RHS
Hence, x × (y + z) = x × y + x × z
APPEARS IN
संबंधित प्रश्न
Write five rational numbers greater than − 2
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:
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:
Name the property of multiplication of rational numbers illustrated by the following statements:
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
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`
`1/5 xx [2/7 + 3/8] = [1/5 xx 2/7] +` ______.
