Q33. - Algebra 2

Question

Find the value of each expression

33. $1.6\left(0.7+3.3\right)÷2.5$

Step-by-Step Solution

Answer

Value of $1.6\left(0.7+3.3\right)÷2.5$ is  $2.56$

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 simplify further as shown below

$\begin{array}{c}1.6\left(0.7+3.3\right)÷2.5=1.6\left(4\right)÷2.5\\ =6.4÷2.5\end{array}$

Step 3 - Divide 6 . 4 by 2 . 5

Now, to simplify further divide the numbers to get

 $6.4÷2.5=2.56$

Thus, value of $1.6\left(0.7+3.3\right)÷2.5$ is  $\$2.56\$$