8th Math: Lesson 46

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

If the exponent is a positive number, ____________.

• you will get a larger number because you are multiplying
• you will get a smaller number because you are dividing
• you will get a larger number because you are dividing
• you will get a smaller number because you are multiplying

If the exponent is a negative number, _____________.

• you will get a larger number, because you are dividing
• you will get a smaller number, because you are dividing
• you will get a larger number because you are multiplying
• you will get a smaller number because you are multiplying

Which of these numbers are NOT in scientific notation?

• 1.2 x 10³
• 5.3 x 10⁹
• 2.0 x 10⁰
• 10 x 10²

The first term in scientific notation must be _________.

• greater than 0 and less than 10
• greater than or equal to 1 and smaller than 10
• greater than 1 and less than 9
• greater than 0 and less than 9

What is the simplified version of

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

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹
• 3.8 x 10¹
• 3.008 x 10¹²
• 2.9375 x 10¹

(9.6×10³) × (6.7×10²)

• 64.32×10⁵
• 6.432×10⁶
• 64.32×10⁶
• 64.32×10⁵

Solve:
(6 x 10⁶) / (2 x 10³)

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