Advertisements
Advertisements
प्रश्न
`- 3/8 + 1/7 = 1/7 + ((-3)/8)` is an example to show that ______
पर्याय
addition of rational numbers is commutative.
rational numbers are closed under addition.
addition of rational number is associative.
rational numbers are distributive under addition.
उत्तर
`- 3/8 + 1/7 = 1/7 + ((-3)/8)` is an example to show that addition of rational numbers is commutative.
Explanation:
Given, `(-3)/8 + 1/7 = 1/7 + ((-3)/8)`
Let two rational numbers,
a = `(-3)/8`, b = `1/7`
∴ a + b = `(-3)/8 + 1/7`
= `(-21 + 8)/56`
= `(-13)/56`
And b + a = `1/7 + (-3)/8`
= `(8 - 21)/56`
= `(-13)/56`
Clearly, a + b = b + a
So, addition is communication for rational numbers.
APPEARS IN
संबंधित प्रश्न
Name the property under multiplication used in given:
`-13/17 xx ((-2)/7) = (-2)/7 xx ((-13)/17)`
Name the property under multiplication used in given:
`-19/29 xx 29/(-19) = 1`
Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:
Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
Give an example and verify the following statement.
Subtraction is not commutative for rational numbers
Rational numbers can be added or multiplied in any ______.
Using suitable rearrangement and find the sum:
`-5 + 7/10 + 3/7 + (-3) + 5/14 + (-4)/5`
Verify the property x × y = y × x of rational numbers by using
`x = (-5)/7` and `y = 14/15`
Verify the property x × y = y × x of rational numbers by using
`x = (-3)/8` and `y = (-4)/9`
Name the property used in the following.
`-7/11 xx (-3)/5 = (-3)/5 xx (-7)/11`
