Q31. - Algebra 2

Question

Find the value of each expression

$\frac{45\left(4+32\right)}{10}$

Step-by-Step Solution

Answer

Value of $\frac{45\left(4+32\right)}{10}$ is 162

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 - Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then multiply it with 45 as shown below

$\begin{array}{c}\frac{45\left(4+32\right)}{10}=\frac{45\left(36\right)}{10}\\ =\frac{1620}{10}\end{array}$

Step 3 - Divide 1620 by 10

Now, to simplify further divide the numbers to get

 $\frac{1620}{10}=162$

Thus, $\frac{45\left(4+32\right)}{10}=162$