Sure! Let's find the multiplicative inverse of [tex]\(-0.24\)[/tex].
1. Understand the Problem: We need to find the multiplicative inverse (also known as the reciprocal) of [tex]\(-0.24\)[/tex]. The multiplicative inverse of a number [tex]\(x\)[/tex] is given by [tex]\(\frac{1}{x}\)[/tex].
2. Apply the Formula: Here, the number [tex]\(x\)[/tex] is [tex]\(-0.24\)[/tex]. Thus, the multiplicative inverse would be [tex]\(\frac{1}{-0.24}\)[/tex].
3. Calculate the Inverse:
[tex]\[
\frac{1}{-0.24} = -4.166666666666667
\][/tex]
So, the multiplicative inverse of [tex]\(-0.24\)[/tex] is [tex]\(-4.166666666666667\)[/tex].
