Multiply with Scientific Notation

Level 1

Which of these numbers is correctly written in scientific notation?

• 1234x10^-3

• 10.5x10⁹

• 1.234x10¹¹

• .5x10⁴

Level 1

Convert the following number in standard form into scientific notation: 2,718,000,000

• 2.718x10⁷

• 2.718x10^-9

• 2.718x10⁹

• 2.178x10¹⁰

Level 2

(2 x 10⁹)(4 x 10^-4)

• 8 x 10¹³

• 8 x 10³⁶

• 8 x 10⁵

• 8 x 10^-36

Level 2

(5.3 x 10²) x (1.0 x 10²)

• 5.3 x 10⁴

• 5.3 x 10²

• 6.3 x 10²

• 53 x 10⁴

Level 3

(2.2 x 10⁵) x (4.5 x 10²).

• 9.9 x 10¹⁰

• 6.7 x 10⁷

• 9.9 x 10⁵

• 9.9 x 10⁷

Level 3

(9.4 x 10⁶) (3.2 x 10⁵)

• 30.08 x 10¹¹

• 3.8 x 10¹⁰

• 3.008 x 10¹²

• 1.26 x 10³⁰

Level 4

(1.5 x 10³) ²

• 1.5 x 10⁶

• 1.5 x 10⁵

• 2.25 x 10⁶

• 2.25 x 10⁵

• None of these

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

• Multiply them

• Add them

• Keep them the same

• Make them equal

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

When multiplying numbers in scientific notation, what do you do to the leading numbers?
For example:
(4×10⁵)(3×10⁻²)

• Keep them the same
• Divide them
• Add them
• Multiply them