Advertisements
Advertisements
Question
Rational numbers can be added (or multiplied) in any order
`(-4)/5 xx (-6)/5 = (-6)/5 xx (-4)/5`
Options
True
False
Advertisements
Solution
This statement is True.
Explanation:
We know, `(-4)/5 xx (-6)/5 = (-6)/5 xx (-4)/5`
⇒ `24/25 = 24/25`
So, rational number can be added (or multiplied) in any order.
Notes
Let a and b are two rational numbers.
Then, ab = ba ...[Commutative under multiplication]
a + b = b + a ...[Commutative under addition]
Hence, rational numbers can be added (or multiplied) in any order.
APPEARS IN
RELATED QUESTIONS
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:
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 = 7` and `y = 1/2`
Verify the property x × y = y × x of rational numbers by using
`x = 2/3` and `y = 9/4`
Name the property used in the following.
`-7/11 xx (-3)/5 = (-3)/5 xx (-7)/11`
