Advertisements
Advertisements
प्रश्न
Verify the commutative property for addition and multiplication for the rational numbers `(-10)/11` and `(-8)/33`
Advertisements
उत्तर
Let a = `(-10)/11` and b = `(-8)/33` be the given rational numbers.
Now a + b = `(-10)/11 + ((-8)/33)`
= `((-10 xx 3) + (-8 xx 1))/33`
= `(-30 + (-8))/33`
a + b = `(-38)/33` ....(1)
b + a = `(-8)/33 + ((-10)/11)`
= `((-8 xx 1) + ((-10) xx 3))/33`
= `(-8 + (-30))/33`
b + a = `(-38)/33` ....(2)
From (1) and (2)
a + b = b + a and hence addition is commutative for rational numbers
Further a × b = `(-10)/11 xx ((-8)/33) = 80/363`
a × b = `80/363` ....(3)
b × a = `(-8)/33 xx ((-10)/11) = 80/363`
b × a = `80/363` ....(4)
From (3) and (4) a × b = b × a
Hence multiplication is commutative for rational numbers.
APPEARS IN
संबंधित प्रश्न
Using appropriate properties find.
`-2/3 xx 3/5 + 5/2 - 3/2 xx 1/6`
Name the property under multiplication used in given:
`-13/17 xx ((-2)/7) = (-2)/7 xx ((-13)/17)`
Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:
Give an example and verify the following statement.
Subtraction is not commutative for rational numbers
`- 3/8 + 1/7 = 1/7 + ((-3)/8)` is an example to show that ______
For all rational numbers x and y, x – y = y – x.
For all rational numbers x and y, x × y = y × x.
Subtraction of rational number is commutative.
Using suitable rearrangement and find the sum:
`4/7 + ((-4)/9) + 3/7 + ((-13)/9)`
Verify the property x × y = y × x of rational numbers by using
`x = (-5)/7` and `y = 14/15`
