Advertisements
Advertisements
प्रश्न
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/5, y = 2/15, z = (-3)/10`
Advertisements
उत्तर
Given, `x = (-1)/5, y = 2/15, z = (-3)/10`
Now, LHS = x × (y + z)
= `(-1)/5 xx (2/15 + (-3)/10)`
= `(-1)/5 xx (2/15 - 3/10)`
= `(-1)/5 xx ((4 - 9)/30)`
= `(-1)/5 xx (-5)/30`
= `1/30`
And RHS = x × y + x × z
= `(-1)/5 xx 2/15 + ((-1)/5) xx ((-3)/10)`
= `(-2)/75 + 3/50`
= `(-4 + 9)/150`
= `5/150`
= `1/30`
∴ LHS = RHS
Hence, x × (y + z) = x × y + x × z
APPEARS IN
संबंधित प्रश्न
Verify the property: x × y = y × x 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:
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`
For rational numbers `a/b, c/d` and `e/f` we have `a/b xx (c/d + e/f)` = ______ + ______.
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 = (-2)/5, y = (-9)/10`
Simplify the following by using suitable property. Also name the property.
`(-3)/5 xx {3/7 + ((-5)/6)}`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
