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Question
Rational numbers can be added (or multiplied) in any order
`(-4)/5 xx (-6)/5 = (-6)/5 xx (-4)/5`
Options
True
False
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.
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