4.9: Scientific/Exponential Notation and Standard Notation (7th)

5.3 × 10⁻⁶

0.0000053

4 × 10⁻⁴

0.0004

5.72 × 10⁻⁴

0.000572

7.8 × 10⁻³

0.0078

5.3 × 10⁻²

0.053

5.72 × 10⁻¹

0.572

7.8 × 10⁻¹

0.78

Write in Scientific/Exponential Notation. 23.8 x 10³

2.38 x 10⁴

Write in Scientific/Exponential Notation. 23.8 x 10⁻³

2.38 x 10⁻²

2.4327 × 10⁴

24,327

2.4327 × 10⁷

24,327,000

3 × 10¹

30

3 × 10²

300

3 × 10⁵

300000

Write in Scientific/Exponential Notation. 0.000452 x 10⁶

4.52 x 10²

Write in Scientific/Exponential Notation. 0.000452 x 10⁻⁶

4.52 x 10⁻¹⁰

5.72 × 10⁹

5,720,000,000

Write in Scientific/Exponential Notation. 5,478.301 x 10⁶

5.478301 x 10⁹

Write in Scientific/Exponential Notation. 5,478.301 x 10⁻⁶

5.478301 x 10⁻³

5.72 × 10⁴

57,200

5.72 × 10²

572

Standard Form

A number written out in expanded form. The normal way you see numbers written.

Scientific Notation

An easier way to write a very large or very small number.

Scientific Notation with a positive exponent means...

The number will be greater than one.

Scientific Notation with a negative exponent means...

The number will be smaller than one.