Question

Which expression has the same value as 13.7 x 5?

a. 5.7 x 13
b. 7 x 13.5
c. 7.13 x 5
d. 5 x 13.7

Answer 1

Expression d, which is 5 x 13.7, has the same value as 13.7 x 5 because multiplication is commutative.

Step-by-step explanation:

The student asked which of the following expressions has the same value as 13.7 x 5:

• 5.7 x 13
• 7 x 13.5
• 7.13 x 5
• 5 x 13.7

By examining each expression, we see that 5 x 13.7 has the same value as 13.7 x 5. The multiplication operation is commutative, meaning that the order in which you multiply two numbers does not change the result. Therefore, swapping the order of the multiplicands, as in the case of 5 x 13.7, will result in the same product as 13.7 x 5.