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`
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
Verify the property: x × (y + z) = x × y + x × z 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 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.
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.
`(-3)/5 xx {3/7 + ((-5)/6)}`
