Question

Find the value of each expression

33.$1.6\left(0.7+3.3\right)÷2.5$

Short answer

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

Step-by-step solution

- 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.

- 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

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

- 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 $\$2.56\$$