Question

Be sure to show you work.
Which statement about 96 multiplied by 11/8 is true?
A. The product is less than 1a/8.
B. The product is greater than 96.
C. The product is between 11/8 and 96.
D. The product is equal to 96.

Answer 1

To evaluate the statement about \( 96 \) multiplied by \( \frac{11}{8} \), we first perform the multiplication:

\[
96 \times \frac{11}{8}
\]

We can simplify this calculation step by step:

1. First, convert \( 96 \) into a fraction:

\[
96 = \frac{96}{1}
\]

2. Now, multiply the fractions:

\[
96 \times \frac{11}{8} = \frac{96 \times 11}{1 \times 8} = \frac{1056}{8}
\]

3. Now, simplify \( \frac{1056}{8} \):

By dividing both the numerator \( 1056 \) and the denominator \( 8 \) by \( 8 \):

\[
\frac{1056 \div 8}{8 \div 8} = \frac{132}{1} = 132
\]

So, the product \( 96 \times \frac{11}{8} = 132 \).

Now, let's analyze the options:

A. The product is less than \( 1 \frac{a}{8} \). (This option doesn't provide a specific numerical value to compare, so we will assume it is in error due to the presence of 'a').

B. The product is greater than \( 96 \).
- Since \( 132 > 96 \), this statement is true.

C. The product is between \( \frac{11}{8} \) and \( 96 \).
- Since \( \frac{11}{8} = 1.375 \) and \( 96 < 132 \), this statement is false.

D. The product is equal to \( 96 \).
- Since \( 132 \neq 96 \), this statement is false.

Only option B is true.

Thus, the correct answer is:

**B. The product is greater than 96.**