Q:
# What is the multiplicative inverse of a negative number?

**The multiplicative inverse of a negative number must also be a negative number.** By definition, the product of a number and its multiplicative inverse is (positive) 1, which cannot be achieved by multiplying a positive and a negative number together.

The multiplicative inverse is also known as the reciprocal of a given number. All real numbers have reciprocals with the exception of zero, since anything multiplied by zero is also zero. The product of a negative number multiplied by its reciprocal (which is also a negative number) is also 1.

The reciprocal of a number expresses the inverse property of multiplication. For the variable a it can be written as:

- a x 1⁄a = 1⁄a x a = 1, a ≠0
- -a x -1⁄a = -1⁄a x -a = 1, a ≠0

Division is defined in terms of multiplication. In fact, division is equivalent to multiplication by the reciprocal or multiplicative inverse of a given number. Division and multiplication are therefore considered inverse operations to each other, just as addition and subtraction are inverse operations. If a number x is multiplied by a number y, then to end back with the result x, the product must be divided again by y - or multiplied by 1≠y. This demonstrates the multiplicative inverse relationship of x and its reciprocal 1≠x.

Learn more about Numbers-
Q:
## How do you calculate percentages of whole numbers?

A: To determine the numeric value of a percentage of a whole number, convert the percentage into a decimal by moving the decimal point two places to the left,... Full Answer >Filed Under: -
Q:
## What is the Roman numeral for 15?

A: The number 15 is written as XV in Roman numerals. The symbol X stands for ten while the symbol V stands for five. The symbol for the smaller number must be... Full Answer >Filed Under: -
Q:
## What is 94 in Roman numerals?

A: The Roman numeral equivalent for the number 94 is XCIV. The Roman numeral system employs letters rather than actual numbers. In many cases, a number must b... Full Answer >Filed Under: -
Q:
## Is 9 a prime number?

A: Nine is not a prime number. It is a composite number, because it has more than two factors. A prime number is only divisible by one and by itself, and nine... Full Answer >Filed Under: