Mathematics
Which of the following expressions shows that rational numbers are associative under multiplication?
Rational Numbers
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Answer
If are any three rational numbers, then the associative law of multiplication states that
In Option 1, only the grouping of the same three rational numbers, taken in the same order, has been changed.
In Options 2 and 4, the order of the rational numbers has been changed, which shows the commutative law.
In Option 3, the order of the rational numbers has been changed and on the left side has been replaced by on the right side, so the two sides are not equal at all.
Hence, Option 1 is the correct option.
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