13. Exponents & Order of Operations

Question 1

Define “Exponent”

Answer 1

1. The small number written high and to the right of a number that tells how many times the number should be multiplied by itself

Question 2

Define “Exponentiation”

Answer 2

1. Raising a number to a power

Question 3

Define “Operation”

Answer 3

1. A mathematical process

Question 4

Define “Order of Operations”

Answer 4

1. A set of rules that explain in what order operations should be completed in an expression with more than 1 operation

Question 5

What is the 1st fact of exponentiation?

Answer 5

1. a1 = a for any number a

Question 6

What is the 2nd fact of exponentiation?

Answer 6

1. As long as a does not equal 0, a0 = 1

Question 7

What is the order of operations?

Answer 7

1. Parenthesis
2. Exponents
3. Multiplication (left to right)
4. Division (left to right)
5. Addition (left to right)
6. Subtraction (left to right)

Question 8

What is the most common mistake when solving multi-operation expressions?

Answer 8

1. Not following the order of operations

Question 9

What is the 2nd most common mistake when solving multi-operational operation expressions?

Answer 9

1. Trying to use a calculator to solve the expression. Most calculators don’t follow the order of operations

Question 10

What is the most common mistake when solving exponential operations?

Answer 10

1. Multiplying the number by the exponent instead of the number by itself

Question 11

What mnemonic device is used to remember the order of operations?

Answer 11

1. Please Excuse My Dear Aunt Sally