Question

Which expression uses the commutative property to make it easier to evaluate the product of (-6/5) * 11 * 5/3?

A. (-6/5) * 11 * 5/3
B. (-6/5) * 11 * 5/3
C. (-6/5) * 3 * 5/11
D. (-6/5) * 11 * 3/5

Answer 1

Option C. (-6/5) * 3 * 5/11 uses the commutative property to make it easier to evaluate the expression. So, the expression (-6/5) * 3 * 5/11 is easier to evaluate compared to the other options.

Step-by-step explanation:

The expression that uses the commutative property to make it easier to evaluate the product of (-6/5) * 11 * 5/3 is option C. (-6/5) * 3 * 5/11.

The commutative property states that the order of numbers can be changed without affecting the result when performing addition or multiplication. In this case, by rearranging the factors, we can simplify the calculation.

Let's demonstrate this step-by-step:

1. Start with the original expression: (-6/5) * 11 * 5/3
2. Rearrange the factors using the commutative property: (-6/5) * 5/3 * 11
3. Simplify each numerator and denominator: (-6 * 5 * 11) / (5 * 3)
4. Multiply the numbers: -330 / 15
5. Reduce the fraction: -22

So, the expression (-6/5) * 3 * 5/11 is easier to evaluate compared to the other options.