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Lesson: Standard Form to Scientific Notation
Contributed by: Warren

4,720,000 = 4.72 × 106


0.000129 = 1.29 × 10-4

Rewriting Numbers from

Standard Form

to Scientific Notation

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

100,000,000
100,000,000

1 × 108

8 spaces

> 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.000009

0.000009

9 × 10-6

6 spaces

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

75,000
75,000
4 spaces

7.5 × 104

> 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.0076

0.0076

7.6 × 10-3

3 spaces

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

3,160,000,000

3,160,000,000

9 spaces

3.16 × 109

> 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.00000000604

0.00000000604

9 spaces

6.04 × 10-9

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

200,000

 × 10

> 1

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.0002

 × 10

> 1

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

69,000,000

 × 10

> 1

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.00000016

 × 10

> 1

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

9,844,000

 × 10

> 1

< 1

1. Put the decimal point after the first non-zero digit

2. The absolute value of the exponent is the number

    of spaces you moved the decimal point

PRACTICE:

Standard Form to Scientific Notation

positive exponents for numbers > 1

negative exponents for numbers < 1

0.00009083

 × 10

> 1

< 1

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