Video: Using the Order of Operations to Evaluate Numerical Expressions Involving Exponents

Calculate 5 × 2² + 3.

01:29

Video Transcript

Calculate five multiplied by two squared plus three.

In order to work out this calculation, we need to look at the order of operations. Firstly, we look for any parentheses or brackets. Secondly, we look for any exponents or powers. Next, we’ll look for any multiplication or division signs. And finally, we’ll look for addition and subtraction signs.

In our question, five multiplied by two squared plus three, there are no parentheses. However, there are exponents. So our first step will be to calculate two squared or two multiplied by two. As two squared is equal to four, we’re left with five multiplied by four plus three.

Our next step is to look for any multiplication or division signs. Well, there is a multiplication sign between the five and the four. So we need to multiply five and four. As five times four is equal to 20, our equation now says 20 plus three.

The last step is to carry out this addition calculation. And 20 plus three is equal to 23. Therefore, the answer to the calculation five multiplied by two squared plus three is equal to 23.

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