Question

I need some help with this question.

Use the properties of real numbers to rewrite the expression. I'll put the expression in the comments.

Answer 1

\[(2\5) * (-7) * (5/2)\]

Answer 2

A number times its reciprocal equals 1.

For example,
1/2 * 2/1 = 1
1/3 * 3/1 = 1
2/3 * 3/2 = 1

Answer 3

Also, the commutative property of multiplication allows you to change the order of the factors.

Examples:
2 * 5 = 5 * 2
7 * 3 = 3 * 7

Answer 4

The associative property of multiplication allows you to group factors in different ways.

Examples:
(2 * 3) * 5 = 2 * (3 * 5)
3 * (x * y) = (3 * x) * y

Answer 5

So would the answer be -7?

Answer 6

Now look at your fractions.
They are 2/5 and 5/2.
Group them together and multiply them together.
Then multiply the result by -7.

Answer 7

Correct, since 2/5 * 5/2 = 1 since 2/5 and 5/2 are reciprocals.
1 times any number is the number, so

(2/5) * (-7) * (5/2) =

= (2/5) * (5/2) * (-7)

= 1 * (-7)

= -7

Answer 8

Good job!

Answer 9

Thank you! I got it right. I got an 80% because I missed one of my questions on my assignment. But I got this one right! Thank you!

Answer 10

You're welcome.