Question

One half of the difference between 9 and 4 is added to three times 8 multiplied with half. Which of the following gives the numerical expression for the above statement?

• A. $\frac{1}{2}(4-9)-3\times (8\times \frac{1}{2})$
• B. $\frac{1}{2}(9-4)-3\times (8÷\frac{1}{2})$
• C. $\frac{1}{2}(9-4)+3\times (8\times \frac{1}{2})$
• D. $\frac{1}{4}(9-4)+\frac{3}{2}\times (8\times \frac{1}{2})$

Answer 1

The correct option is C $\frac{1}{2}(9-4)+3\times (8\times \frac{1}{2})$

Given statement is "One half of the difference between 9 and four is added to three times 8 multiplied with half".

We can express "One half of the difference between 9 and 4" as:
$\frac{1}{2}\times (9-4)$

"Three times 8 multiplied with half" is expressed as:
$3\times (8\times \frac{1}{2})$

Adding these two expressions, we get:
$\frac{1}{2}(9-4)+3\times (8\times \frac{1}{2})$

Hence, the numerical expression for the given statement is:
$\frac{1}{2}(9-4)+3\times (8\times \frac{1}{2})$