Question

Use repeated addition to find the product of the factors.
5 x 1/2
5 x 1/2 = 1/2 + 1/2 + 1/2 + 1/2 + 1/2

Since the denominators are the same, add the numerators.
_ / 2
This can be written as a mixed number.
_

Answer 1

To calculate the product of \( 5 \times \frac{1}{2} \) using repeated addition, you can express it as:

\[
5 \times \frac{1}{2} = \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2}
\]

Now, since the denominators are the same (which is 2), you can add the numerators:

\[
= \frac{1 + 1 + 1 + 1 + 1}{2} = \frac{5}{2}
\]

Next, to write \(\frac{5}{2}\) as a mixed number, you divide the numerator (5) by the denominator (2):

\[
5 \div 2 = 2 \quad \text{(whole number)}
\]
\[
\text{Remainder: } 5 - (2 \times 2) = 1
\]

So, you can express \(\frac{5}{2}\) as:

\[
2 \frac{1}{2}
\]

Thus, the product of \( 5 \times \frac{1}{2} = \frac{5}{2} \), which can be written as the mixed number \( 2 \frac{1}{2} \).