Powers of 10 Exponents Lesson

Powers of 10 Lesson

Open Ended

What is a power of 10?

Power of 10

The powers of ten are numbers that can be formed by multiplying 10 times itself. 

Example: 10³⁼10 x 10 x 10=1,000

Multiple Choice

When moving from one place value to the next, by how much do numbers change?

• by 100

• by 1

• by 10

• by 1,000

Base 10 System

How many fingers do you have?

Why do you think our number system is a base ten system?

Poll

Have you used base ten blocks to represent numbers?

• Yes

• No

• Not Sure

Open Ended

What does the word "product" mean in math?

Product

Product: Answer to a multiplication problem.

Example: 10 x 10=100; The product is 100

Think: MULTIPLY

Multiple Choice

What is the product of 4 and 6?

• 12

• 10

• 24

• 60,000

Multiple Choice

What is the exponent in 10⁶?

• 6

• 10

• 60

• 1,000,000

Exponent:

The little number that tells how many times to multiply the base by itself.

Multiple Choice

How is 10⁶ written as a product of 10?

• 10 x 10 x 10 x 10

• 60

• 6,000,000

• 10 x 10 x 10 x 10 x 10 x 10

Multiple Choice

Which number is written in standard notation?

• 10 x 10 x 10

• 1,000

• one thousand

• 10³

Standard Notation

normal way of writing numbers

Example: 3,980

Multiple Choice

How is 10⁶ written in standard notation?

• 60

• 6,000,000

• 1,000,000

• 1,000

Multiple Select

How can 3 x 10⁴ be written in different ways?

• 3 x 10,000

• 3 x 4=12

• 30,000

• 120,000

Multiple Choice

Which number is written in expanded form?

• 1,327

• one thousand, three hundred twenty-seven

• 1,000 x 300 x 20 x 7

• 1,000 + 300 + 20 + 7

Expanded Form

separate each digit's value and add them

Multiple Select

What are the 3 different types of expanded forms? Choose 3 answers.

• addition expression

• standard notation

• sum of multiplication expressions involving powers of 10

• sum of multiplication expressions using exponents to show powers of 10

Multiple Select

Choose all the correct ways to write 4,938 in expanded form.

• 4,938

• 4,000 + 900 + 30 +8

• (4 x 1,000) + (9 x 100) + (3 x 10) + (8 x 1)

• (4 x 10³) + (9 x 10²) + (3 x 10¹) + (8 x 10⁰)

• (4 x 1,000) x (9 x 100) x (3 x 10) x (8 x 1)