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प्रश्न
Rational numbers can be added (or multiplied) in any order
`(-4)/5 xx (-6)/5 = (-6)/5 xx (-4)/5`
पर्याय
True
False
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उत्तर
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.
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संबंधित प्रश्न
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:
Verify the commutative property for addition and multiplication for the rational numbers `(-10)/11` and `(-8)/33`
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:
`-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 = (-3)/8` and `y = (-4)/9`
