Would 48x 2/96 be considered a Mltiplicative inverse???
no, 48 would be the multiplicative inverse of 2/96, since 2/96 = 1/48
48x2/96 is a sequence of operations that produces 1, indicating that involves multiplicative inverses.
Right idea, just imprecise language.
To determine whether 48x 2/96 is considered a multiplicative inverse, we need to understand what a multiplicative inverse is.
A multiplicative inverse, also known as a reciprocal, is a number that, when multiplied by another number, gives a product of 1. For example, the multiplicative inverse of 3 is 1/3 because 3 multiplied by 1/3 equals 1.
To find the multiplicative inverse of a number, we need to divide 1 by that number. So, let's find the multiplicative inverse of 48x 2/96:
Multiplicative inverse of 48x 2/96 = 1 / (48x 2/96)
To evaluate this, we can simplify the fraction by multiplying the numerator by the reciprocal of the denominator (flipping the fraction):
Multiplicative inverse of 48x 2/96 = 1 / (48x/96 * 1/2)
Now, let's simplify further:
Multiplicative inverse of 48x 2/96 = 1 / (48x * 1 / 96 * 2)
Since we're multiplying fractions, we can multiply the numerators and denominators:
Multiplicative inverse of 48x 2/96 = 1 / (48x * 1 * 2 / 96)
Multiplicative inverse of 48x 2/96 = 1 / (96x / 96)
Simplifying the expression:
Multiplicative inverse of 48x 2/96 = 1 / (x)
So, 48x 2/96 is not a multiplicative inverse. It simplifies to 1/x, which means it's just the reciprocal of x.