Question

Evaluate the expression.

$10(1.5+0.6)$

Short answer

The value of the expression is21.

Step-by-step solution

Step-1 – Order of operations

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 – Solve the expression inside grouping symbols

In order to evaluate the given expression, first evaluate the expression inside the parentheses. Observe that there is only a plus sign between the numbers inside parenthesis, so add them and remove the parenthesis to get

$\begin{array}{l}10(1.5+0.6)\\ =10\left(2.1\right)\\ =10\times 2.1\end{array}$

Step-3 – Multiply and divide from left to right

Now to simplify further, multiply the resulting numbers to get

$\begin{array}{l}10\times 2.1\\ =21.0\end{array}$

Thus, the value of the expression is 21.