To solve the expression [tex]\( 8 \times 4 \frac{1}{2} \)[/tex], let's follow these steps:
1. Convert the mixed number to an improper fraction or a decimal.
[tex]\( 4 \frac{1}{2} \)[/tex] is a mixed number. To convert it into a decimal, observe that [tex]\( \frac{1}{2} \)[/tex] is equivalent to 0.5. Hence,
[tex]\[
4 \frac{1}{2} = 4 + 0.5 = 4.5
\][/tex]
2. Multiply the resulting decimal by 8.
Now, we need to multiply 8 by the decimal 4.5:
[tex]\[
8 \times 4.5
\][/tex]
3. Calculate the product.
Perform the multiplication:
[tex]\[
8 \times 4.5 = 36.0
\][/tex]
So, the result of the expression [tex]\( 8 \times 4 \frac{1}{2} \)[/tex] is [tex]\( 36.0 \)[/tex].
