Powers of 10

Patterns with Exponents and Powers of 10

How can you explain patterns in the number of zeros in a product?

Vocabulary

Patterns

Factor

Product
Exponents
Base
Value 
Greater/Lesser

Let's Think!

What factors when multiplied give you a product of 10? 100? 1,000? 

10= ____ x ___

100= ___ x___x...

1,000 =    ___ x ___x ____...

What would follow next?

____= ______x______x______x______...

How else can we rewrite those Powers of 10 patterns?

10 = 10 to the power of ___________.
100= 10 to the power of __________.
1,000= 10 to the power of_________.
10,000= 10 to the power of _________.

Base- is a whole number that is being multiplied or used as a factor.

Exponent- is that tells how many times the base is being used. 

Here is an example:

An example of a base and an exponent:
What do you notice? Any connections?

Multiple Select

Which of the following is the same as the power of 10 below?

 $10^2$  

• $10\times1$

• $10\times10\times10$

• $10\times10$

• $10\times3$

Watch the video below:

Did you learn something different?

Poll

How does the video help you understand powers of ten?

• I DO understand ALL of it!

• I Do NOT understand any of it!

Try again!

• Base vs. Exponents

• Patterns and Powers of 10

• Ways to express Powers of 10

Ways to write Powers of 10

• Write it with the base and the exponents

• Write it out as factors with the x symbol

• Write is out using patterns 

Patterns and Powers of 10

Do you see the patterns? What is happening to the base? What is happening to the product?

Open Ended

 $10^2\ \times6$   $5\ \times10^5$  

Challenge: Using what you learned explain what happens when you have a problem like the ones above?