Donna McPartland

SLM 521

Web Dropin #2

Web Dropin #2

Knowing and understanding the order of operations is a very important prerequisite skill for algebra. If a math problem includes a combination of arithmetic operations (addition, subtraction, multiplication, or division), unless we follow a specified order we can end up with different answers to the same problem. Therefore, in calculating answers for problems containing more than one operation, there is a standard Order of Operations.

You have had some experience in using the Order of Operations to calculate answers. Now you will go a step further to develop an understanding of the standard Order of Operations when calculating problems in which one or more numbers has an exponent.

As a review, calculate the answers to the following problems using the Order of Operations.

5 + (7-3) – 2 × 4 = ____

8 ÷ 4 + (7-2) × 8 = ____

Check your answers. If you think you need more help with this type of problem before moving on to the next step, go to the tutorial and try to improve your skill.

Focus Question for this Lesson:

What is the standard Order of Operations when one or more numbers in the problem contains an exponent, such as 3 + (5-1) + 3²?

Go to Mrs. Glosser’s Math Goodies and read about the order of operations when working with exponents. Do the exercises and then come back and answer the questions and solve the problems below.

1. What is the Order of Operations when one or more of the numbers has an exponent?

First, ____________________________________________________________

Next, ____________________________________________________________

Last, ____________________________________________________________

2. Solve the following problems. Don’t forget to do the multiplication and division in the order in which they appear; do the same for addition and subtraction.

6² – (3+ 4) - 5^{2 = _______}

15 × (6-3) + 2²× 3 = _____

3. Explain this mnemonic expression: Please Excuse My Dear Aunt Sally.

____________________________________________________________________________________

4. John works for his uncle and earns $9 an hour. Last week he worked 12 hours. When he received his earnings he went to the store and bought a helmet so he could ride his bike. The helmet cost $40 plus $2 tax. How much of his earnings did John have left take home? (In solving this problem first write a number sentence, then calculate the answer.) 

_________________________________________

Print out the assignment pages and hand in when completed.