Video Transcript
What is the multiplicative inverse of the absolute value of seven-quarters?
The absolute value or modulus of a number is its distance from zero. It does not consider the direction from zero where the number lies. This means that the absolute value of a number is never negative. The absolute value of seven-quarters or seven over four is equal to seven-quarters.
The multiplicative inverse of a number is the reciprocal of it. This means that when we multiply a number and its multiplicative inverse, we get an answer of one. If we let the multiplicative inverse of seven-quarters be 𝑥, then seven-quarters multiplied by 𝑥 is equal to one. This means that 𝑥 is equal to one divided by seven-quarters. This is equal to four-sevenths. When working out the reciprocal of a fraction, the numerator becomes the denominator and vice versa.
The multiplicative inverse of the absolute value of seven-quarters is four-sevenths.
