Multiplying & Dividing with Scientific Notation

When multiplying numbers in scientific notation, what do you do with the exponents?

• Multiply them

• Add them

• Keep them the same

• Make them equal

(2 x 10⁹)(4 x 10^-4)

• 8 x 10¹³
• 8 x 10³⁶
• 8 x 10⁵
• 8 x 10^-36

(5x10¹⁰) x (3x10⁷)

• 15x10¹⁷
• 1.5x10¹⁷
• 1.5x10¹⁸
• 1.5x9¹⁷

(5 x 10⁶)(5 x 10⁷)

• 2.5 x 10¹²
• 2.5 x 10¹⁴
• 25 x 10¹²
• 25 x 10¹³

Solve:

(5.3 x 10²) x (1.0 x 10²)

• 5.3 x 10⁴

• 5.3 x 10²

• 6.3 x 10²

• 53 x 10⁴

What is the simplified version of

• 3.9 x 10⁶
• 4 x 10²⁰
• 4 x 10⁶
• 3.9 x 10²⁰

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³
• 3 x 10⁹
• 1.2 x 10⁴
• 3 x 10³

Solve:

(20 x 10⁵⁰) / (4 x 10¹⁵)

• 2.4 x 10⁵¹

• 5 x 10⁶⁵

• 8 x 10⁶⁶

• 5 x 10³⁵

What is scientific notation?

• A long way to write numbers containing a few digits
• A short way to write numbers containing many, many digits
• A number written without exponents
• None of the above

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10