Question

Statement 1: $13\times (-17)=17\times (-13)$

Statement 2: The multiplication operation holds true for commutative property.

• A. Statement 1 is false, and Statement 2 is true.
• B. Both the statements are false.
• C. Both the statements are true but statement 2 is not the correct explanation of statement 1.
• D. Both the statements are true and statement 2 is the correct explanation of statement 1.

Answer 1

The correct option is C

Both the statements are true but statement 2 is not the correct explanation of statement 1.

The commutative law of multiplication states that the order of multiplying two or more numbers does not change the product. Hence, by the definition of commutative property for multiplication $13\times (-17)$ can be written as $(-17)\times 13$ and not $(-13)\times \left(17\right)$.

So, both the statements are true but statement 2 is not the correct explanation of statement 1.