Advertisements
Advertisements
Question
Verify the property x + y = y + x of rational numbers by taking
`x = (-2)/3, y = (-5)/6`
Advertisements
Solution
Given, `x = (-2)/3, y = (-5)/6`
Then, LHS = x + y
= `(-2)/3 + (-5)/6`
= `(-2)/3 - 5/6`
= `(-4 - 5)/6`
= `(-9)/6`
And RHS = y + x
= `(-5)/6 + (-2)/3`
= `(-5)/6 - 2/3`
= `(-5 - 4)/6`
= `(-9)/6`
∴ LHS = RHS
Hence, x + y = y + x
APPEARS IN
RELATED QUESTIONS
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:
By what number should we multiply \[\frac{- 1}{6}\] so that the product may be \[\frac{- 23}{9}?\]
By what number should we multiply \[\frac{- 15}{28}\] so that the product may be\[\frac{- 5}{7}?\]
By what number should we multiply \[\frac{- 8}{13}\]
so that the product may be 24?
Find: `2/5 xx (-3)/7 - 1/14 - 3/7 xx 3/5`.
Give an example and verify the following statement.
Distributive property of multiplication over subtraction is true for rational numbers. That is, a(b – c) = ab – ac
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 = (-2)/3, y = (-4)/6, z = (-7)/9`
