Posted by **Sami** on Thursday, January 21, 2010 at 8:23pm.

Name the property used in the equation 15n=15

multiplicative identity or multiplicative inverse?

- Algebra -
**PsyDAG**, Friday, January 22, 2010 at 9:24am
Since this is not my area of expertise, I searched Google under the key words "*multiplicative identity or multiplicative inverse*". Here is information from one source:

**MEAP Preparation - Grade 7 Mathematics
**

1.34 Multiplicative Identity and Multiplicative Inverse

If a/b is a rational number then

a/b x 0 = 0 x a/b = 0.

Example: 7/3 x 0 = (7x0)/3 = 0/3 = 0

**Multiplicative Identity: **

If a/b is a rational number then

1 x a/b = a/b x 1 = a/b

Example: 3/5 x 1 = 1 x 3/5 = 3/5

Therefore, one is the identity element for multiplication in rational number.

**Multiplicative Inverse:**

For every rational a/b (a, b are not equal to zero), there will be a rational number b/a is such that

a/b x b/a = 1

If the product of two numbers is one, we say that each number is the multiplicative inverse of the other.

Example: 2/3 x 3/2 = (2x3)/(3x2) = 6/6 = 1

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.

I hope this helps.

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