Advertisements
Advertisements
Question
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 2/3, y = (-3)/7` and `z = 1/2`
and What is the name of this property?
Advertisements
Solution
Given, `x = 2/3, y = (-3)/7` and `z = 1/2`
Now, LHS = x × (y × z)
= `2/3 xx ((-3)/7 xx 1/2)`
= `2/3 xx ((-3)/14)`
= `(-2)/14`
= `(-1)/7`
And RHS = (x × y) × z
= `(2/3 xx (-3)/7) xx 1/2`
= `(-2)/7 xx 1/2`
= `(-1)/7`
∴ LHS = RHS
Hence, x × (y × z) = (x × y) × z
APPEARS IN
RELATED QUESTIONS
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Find: `(-4)/5 xx 3/7 xx 15/16 xx ((-14)/9)`.
Verify the associative property for addition and multiplication for the rational number `(-7)/9, 5/6` and `(-4)/3`
`1/2 - (3/4 - 5/6) ≠ (1/2 - 3/4) - 5/6` illustrates that subtraction does not satisfy the ________ property for rational numbers
Give an example and verify the following statement.
Division is not associative for rational numbers
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 1, y = (-1)/2` and `z = 1/4`
and What is the name of this property?
Tell which property allows you to compare
`2/3 xx [3/4 xx 5/7]` and `[2/3 xx 5/7] xx 3/4`
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 0, y = 1/2` and `z = 1/4`
and What is the name of this property?
