Introduction to Exponents

​Introduction to Exponents

By: Mr. Hankins, CCPS Virtual Learning Math Teacher Grades 6th-8th​

​Standard: MGSE8.EE.1

MGSE8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.

Subject | Subject

Some text here about the topic of discussion

​Learning Targets for MGSE8.EE.1

​K1: I can use properties of integer exponents to evaluate and simplify numerical expressions.

R1: I can derive and explain the properties of exponents.

​Essential Questions for MGSE8.EE.1

How can I apply the properties of integer exponents to generate equivalent numerical expressions?

How do I simplify and evaluate numeric expressions involving integer exponents?

​Essential Vocabulary for MGSE8.EE.1

Exponent -

Base -

Power-​

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Exponents are repeated multiplication:

3² = 3 x 3

3³ = 3 x 3 x 3

3^{4 = 3 x 3 x 3 x 3}

​What does an exponent mean?

​The exponent tells us how many times to multiply the base by itself.

​Exponential Form

• ​Exponential Form is a number made up of two pieces:

  • ​The base is the big, bottom number.

  • ​The exponent is the little number in the top right.

Multiple Choice

What does 4³ mean?

• 4 x 4 x 4

• 3 x 3 x 3 x 3

• 4 + 4 + 4

Multiple Choice

Which is equivalent to 5²

• 2 x 2 x 2 x 2 x 2

• 5 + 2

• 5 x 5

Let's evaluate, or solve, some exponents.

4² = 4 x 4

4 x 4 = 16

So, 4² = 16

3³ = 3 x 3 x 3

3 x 3 = 9

9 x 3 = 27

3³ = 27

Multiple Choice

Evaluate: 3²

• 3 + 3 = 6

• 3 x 2 = 6

• 3 x 3 = 9

Multiple Choice

Evaluate:

5³

• 5 x 5 x 5 = 125

• 5 x 3 = 15

• 3 x 3 x 3 x 3 x 3 = 243

Remember: 2⁴ =

2 x 2 x 2 x 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

Multiple Choice

Evaluate: 6³

• 18

• 36

• 216

Multiple Choice

What is the base?

$$5^2=25$$  

• 5

• 2

• 25

Multiple Choice

What is the exponent?

$$2^3=8$$  

• 2

• 3

• 8

Multiple Choice

What is the base?

$$x^4$$  

• x

• 4

• There is no base.

​10s Trick!!

When the base is 10, look at ​exponent, and that is how many zeros are in the answer!

Multiple Choice

How many zeros will be in the answer to  $$10^6$$  ?

• 10

• 6

• 16

• 60

• You can't tell.

Multiple Choice

Solve:  $$10^4$$  

• 10,000,000,000

• $$10,000$$  

• 40

• 1,000

• 100,000

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