To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

\(\displaystyle \frac{1}{4} \cdot 96\)

\(\displaystyle \frac{1}{4} \cdot \frac{96}{1}\)

\(\displaystyle \frac{1 \cdot 96}{4 \cdot 1}\)

\(\displaystyle \frac{96}{4}\)

\(\displaystyle 24\)

Therefore, \(\displaystyle \frac{1}{4}\) of \(\displaystyle 96\) is \(\displaystyle 24\).

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

\(\displaystyle \frac{2}{5} \cdot 125\)

\(\displaystyle \frac{2}{5} \cdot \frac{125}{1}\)

\(\displaystyle \frac{2 \cdot 125}{5 \cdot 1}\)

\(\displaystyle \frac{250}{5}\)

\(\displaystyle 50\)

Therefore,  \(\displaystyle \frac{2}{5}\) of \(\displaystyle 125\) is \(\displaystyle 50\).

To find a fraction of a whole, we will multiply the fraction by the whole number.

Now, we know "half" is the same as \(\displaystyle \frac{1}{2}\).  So, we get

\(\displaystyle \frac{1}{2} \cdot 36\)

\(\displaystyle \frac{1}{2} \cdot \frac{36}{1}\)

\(\displaystyle \frac{1 \cdot 36}{2 \cdot 1}\)

\(\displaystyle \frac{36}{2}\)

\(\displaystyle 18\)

Therefore, half of 36 is 18.

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So, we get

\(\displaystyle \frac{2}{3} \cdot 27\)

\(\displaystyle \frac{2}{3} \cdot \frac{27}{1}\)

We can simplify before we multiply.  The 3 and the 27 can both be divided by 3.  So, we get

\(\displaystyle \frac{2}{1} \cdot \frac{9}{1}\)

\(\displaystyle \frac{2 \cdot 9}{1 \cdot 1}\)

\(\displaystyle \frac{18}{1}\)

\(\displaystyle 18\)

Therefore, \(\displaystyle \frac{2}{3}\) of \(\displaystyle 27\) is \(\displaystyle 18\).

To find a fraction of a whole number, we will multiply the two together.  So, we get

\(\displaystyle \frac{1}{4} \cdot 36\)

\(\displaystyle \frac{1}{4} \cdot \frac{36}{1}\)

\(\displaystyle \frac{1 \cdot 36}{4 \cdot 1}\)

\(\displaystyle \frac{36}{4}\)

\(\displaystyle 9\)

Pencils are sold for $0.23 each.

If Susie buys 7 pencils, she is paying

7 x $0.23 = 

$1.61 for pencils.

Notebooks are sold in pairs (or in packages of two), for $3.04 a pair. 

If Susie buys 8 notebooks, that means that she bought

8 ÷ 2 =

4 pairs of notebooks.

So, 4 pairs of notebooks, at $3.04 a pair costs

4 x $3.04 =

$12.16. 

Susie also buys a dozen, or 12, folders. Folders come in packages of 4.

This means that Susie buys

12 ÷ 4 = 

3 packages of folders.

Because each package costs $2.12, Susie pays

3 x $2.12 = 

$6.36 for a dozen folders.

If we add up the total cost of the pencils, notebooks, and folders we get 

$1.61 + $12.16 + $6.36 = 

$20.13.

Because Susie pays $25, she will be left with 

$25 – $20.13 =

$4.87 in change.

\(\displaystyle (-2)^2 + (6)^2 = 4 + 36 =40\)

The order of operations states that we must begin solving the mathematical expression by evaluating numbers in parentheses. In this expression, \(\displaystyle \small (7-3)\) is in parentheses. When we solve this, we get \(\displaystyle \small 4\). Our expression can now be rewritten as:

\(\displaystyle \small 5 + 4 \cdot 4\)

The order of operations states that the next step would be to evaluate any term with an exponent. Since there are no exponents in this expression, we move on to multiplication. In this expression we are asked to multiply \(\displaystyle \small 4\cdot 4\), which is \(\displaystyle \small 16\). Our expression can now be written as:

\(\displaystyle \small 5+16\)

The order of operations would have us divide next, but seeing as there is no division in this expression, we move on to addition. \(\displaystyle \small 5+16 = 21\).

There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is \(\displaystyle 510 \times 6\)

Substitute 7 for \(\displaystyle x\). 

\(\displaystyle 5x - 4 = 5 \times 7 - 4\)

By order of operations, multiply, then subtract.

\(\displaystyle 5 \times 7 - 4 = 35 - 4 = 31\)