SOLUTION: I am reviewing a practice assessment and trying to figure out how to solve the following problem: "Find the product of (6g-2) and the multiplicative inverse of 6. Simplify as m

Question 1182831: I am reviewing a practice assessment and trying to figure out how to solve the following problem:
"Find the product of (6g-2) and the multiplicative inverse of 6. Simplify as much as possible."
The answer is g - 1/3. How was this problem solved?

Found 3 solutions by Theo, josgarithmetic, MathTherapy:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
the multiplicative inverse of a number is the reciprocal of that number.
the result of the multiplication is always equal to 1.
the multiplicative inverse of 6 would be 1/6 because 6 * 1/6 = 1
therefore (6g-2) * the multiplicative inverse of 6 is equal to:
(6g-2) * 1/6.
this would be equal to 1/6 * 6g - 1/6 * 2, which is equal to:
g - 2/6 which is equal to:
g - 1/3.

here's a reference on multiplicative inverse.

https://www.mathsisfun.com/definitions/multiplicative-inverse.html

the multiplicative inverse is the same as the reciprocal.
the multiplication by the number and its reciprocal is always equal to 1.
if the number is negative, its reciprocal needs also to be negative in order for the result to be equal to 1.
since the reciprocal is equal to the multiplicative inverse, the same rules apply to the multiplicative inverse.

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Why are you unsure? If you had an Algebra 1 course, you would be completely confident.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

I am reviewing a practice assessment and trying to figure out how to solve the following problem:
"Find the product of (6g-2) and the multiplicative inverse of 6. Simplify as much as possible."
The answer is g - 1/3. How was this problem solved?

Given expression: 6g - 2 Multiplicative inverse of 6: Product of GIVEN expression and MULTIPLICATIVE INVERSE of 6:

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