Patterns with Exponents and Powers of 10

Powers of 10

What are Powers of 10?

A power of 10 is as many number 10s as indicated by the exponent multiplied together. Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 10⁶ is written 1,000,000

How does it all work? What is the Base and what is the Exponent?

Review Questions

Show what you know

Poll

What is the Base of 10⁴ ?

• 10

• 4

Poll

What is the Exponent of 10⁴ ?

• 10

• 4

Open Ended

Why are there three zeros in the product of 6 x 10³?

Open Ended

Susan said that 10⁵ is 50. What mistake did Susan make? What is the correct answer?

Multiple Choice

The exponent is equal to the ____________ in the product.

• Number of numbers
• The answer
• Number of zeros
• Number of letters

Multiple Choice

10⁶ =

• 10 x 10 x 10
• 10 x 10 x 10 x 10
• 10 x 10 x 10 x 10 x 10 x 10
• 10 x 10 x 10 x 10 x 10 x 10 x 10

Multiple Choice

6 × 10 ²

• 60
• 600
• 6000
• 0.006

Multiple Choice

18 x 100

• 1,800
• 180
• 18,000
• 180,000

Multiple Choice

10,000

• 10¹
• 10²
• 10³
• 10⁴

Multiple Choice

42 x 10²

• 42,000
• 420
• 420,000
• 4,200

Multiple Choice

What is the exponent version of 10 x 10 x 10 x 10 ?

• 10¹

• 10²

• 10³

• 10⁴

Multiple Choice

True or False?
10³ = 30

• true
• false

Multiple Choice

100,000

• 10 x 10
• 10 x 10 x 10
• 10 x 10 x 10 x 10
• 10 x 10 x 10 x 10 x10

Multiple Choice

10⁶ =

• 10 x 10 x 10
• 10 x 10 x 10 x 10
• 10 x 10 x 10 x 10 x 10 x 10
• 10 x 10 x 10 x 10 x 10 x 10 x 10

Multiple Choice

7 x 10⁴

• 70
• 700
• 70,000
• 700,000

Multiple Choice

10 x 10 x 10 x 10 can be written as 10 to what power?

• 10
• 10²
• 10³
• 10⁴

Multiple Choice

What is another way to write 10³

• 10
• 30
• 100
• 1,000

Multiple Choice

10⁸

• 10,000
• 100,000
• 100,000,000
• 1,000,000,000