Find the multiplicative inverse of -7
Answers
Answer:
- 1/7
Step-by-step explanation:
Multiplicative inverse is also known as reciprocal.
-7=-7/1
Therefore, multiplcative inverse of - 7or-7/1 is - 1/7
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Answer:
1/7
Step-by-step explanation:
A multiplicative inverse is a reciprocal. What is a reciprocal? A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if we have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1!
Examples
Let's look at a couple examples before proceeding with the lesson.
Example 1:
What is the multiplicative inverse of 15? In other words, which number when multiplied with 15 would give us the number 1 as a result? Let's solve this in an algebraic way, with x being the unknown multiplicative inverse.
15 * x = 1
x = 1/15
That's it! It was really that simple! The multiplicative inverse of a number is that number as the denominator and 1 as the numerator. When we multiply 15 and 1/15, we get 1.
Example 2:
What is the multiplicative inverse of 1/4? Now this example is a little different because we are beginning with a fraction. Let's again solve this algebraically, with x being the unknown multiplicative inverse of 1/4.
1/4 * x = 1
x = 1 / (1/4)
(1/1) / (1/4) = (1/1) * (4/1) = 4
Remember that when you divide fractions, you must flip the numerator and denominator of the second fraction and then multiply. We got 4 as the multiplicative inverse of 1/4. Makes sense, right?
So, the conclusion that we can draw from these two examples is that when you have a whole number, the multiplicative inverse of that number will be that number in fraction form with the whole number as the denominator and 1 as the numerator. When you have a fraction with 1 as the numerator, the multiplicative inverse of that fraction will simply be the denominator of