anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[(2\5) * (-7) * (5/2)\]
mathstudent55
  • mathstudent55
A number times its reciprocal equals 1. For example, 1/2 * 2/1 = 1 1/3 * 3/1 = 1 2/3 * 3/2 = 1
mathstudent55
  • mathstudent55
Also, the commutative property of multiplication allows you to change the order of the factors. Examples: 2 * 5 = 5 * 2 7 * 3 = 3 * 7

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mathstudent55
  • mathstudent55
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
anonymous
  • anonymous
So would the answer be -7?
mathstudent55
  • mathstudent55
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.
mathstudent55
  • mathstudent55
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
mathstudent55
  • mathstudent55
Good job!
anonymous
  • anonymous
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!
mathstudent55
  • mathstudent55
You're welcome.

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