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State true or false: The rational numbers $\frac{- 3}{8}$ and $\frac{4}{9}$ are commutative under multiplication.

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True

False

answer is A.

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Detailed Solution

Given a statement, the rational numbers

\frac{- 3}{8}

and

\frac{4}{9}

are commutative under multiplication.
We need to check whether the given statement is true or false.
If l and m are two rational numbers, then commutative property of multiplication says that

l × m = m × n

. Here:

l × m = − 3 8 × 49 = − 1 6 m × l = 49 × − 3 8 = − 1 6

∴ l × m = m × n

So, the given rational numbers are commutative under multiplication.
So, the statement is true.
Hence, 1 is the correct option.

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