Converting Between Scientific Notation and Standard Form

This video tutorial provides a comprehensive introduction to scientific notation, explaining how it is used to represent very large or very small numbers. It covers the process of converting numbers from standard to scientific notation and vice versa, with detailed examples for both large and small numbers. The tutorial also includes practice problems to reinforce the concepts and ensure understanding of the conversion process.

How do you express 45,000 in scientific notation?

• 4500 x 10^1

• 450 x 10^2

• 45 x 10^3

• 4.5 x 10^4

How do you express 72 million in scientific notation?

• 72 x 10^6

• 7.2 x 10^7

• 720 x 10^5

• 7200 x 10^4

What does a negative exponent in scientific notation indicate?

• A very large number

• A number between 0 and 1

• A number greater than 10

• A positive number

How is 0.0023 represented in scientific notation?

• 230 x 10^-5

• 0.23 x 10^-2

• 2.3 x 10^-3

• 23 x 10^-4

What is 2.4 x 10^2 in standard notation?

• 2400

• 240

• 2.4

• 24

How do you convert 3.56 x 10^3 to standard notation?

• 35.6

• 0.356

• 3560

• 356

What is the standard notation of 4.27 x 10^5?

• 4.27

• 42700

• 427

• 427000

How is 1.8 x 10^-3 represented in standard notation?

• 0.0018

• 0.018

• 1800

• 18

What does 3.96 x 10^7 convert to in standard notation?

• 39600

• 39600000

• 396

• 3960000

What is the scientific notation of a small number, 0.0000416?

• 4.16 x 10^-5

• 41.6 x 10^-5

• 416 x 10^-6

• 4.16 x 10^-4