GEMS Method for Order of Operations

What does the 'G' in G.E.M.S. stand for?

• Greatest common factor

• Grouping symbols

• General equations

• Geometric shapes

Which of the following is an example of an exponent?

• 5 + 3

• 5 squared

• 5 - 3

• 5 divided by 3

In the problem 7 + 3^2 * 8, what should be calculated first?

• 3^2

• 7 + 3

• 3 * 8

• 7 * 8

What is the result of 3^2 in the problem 7 + 3^2 * 8?

• 6

• 12

• 9

• 15

In the problem 2(8 - 3)^2, what is the first step according to G.E.M.S.?

• Multiply 2 by 8

• Square the result

• Calculate the exponent

• Subtract 3 from 8

What is the simplified result of 2(8 - 3)^2?

• 50

• 25

• 75

• 100

In the problem 6 - 2 * 2 + 2^5, what is the value of 2^5?

• 24

• 64

• 16

• 32

What is the final simplified result of 6 - 2 * 2 + 2^5?

• 36

• 32

• 30

• 34

In the problem 2[5 + 3(9 - 7)], what should be calculated first?

• 5 + 3

• 9 - 7

• 3 * 9

• 2 * 5

What is the final simplified result of 2[5 + 3(9 - 7)]?

• 11

• 22

• 33

• 44