Advertisements
Advertisements
Question
Verify the property x + y = y + x of rational numbers by taking
`x = (-3)/7, y = 20/21`
Advertisements
Solution
Given, `x = (-3)/7, y = 20/21`
Then, LHS = x + y
= `(-3)/7 + 20/21`
= `(-9 + 20)/21`
= `11/21`
RHS = y + x
= `20/21 - 3/7`
= `(20 - 9)/21`
= `11/21`
∴ LHS = RHS
Hence, x + y = y + x
APPEARS IN
RELATED QUESTIONS
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) × 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:
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)` = ______ + ______.
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 2/3, z = 3/4`
Name the property used in the following.
`-2/3 xx [3/4 + (-1)/2] = [(-2)/3 xx 3/4] + [(-2)/3 xx (-1)/2]`
