Lesson: Scientific Notation to Standard Form

3.5 × 106 = 3,500,000


2.6 × 10-5 = 0.000026

Rewriting Numbers from

Scientific Notation

to Standard Form

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

3 × 105

 

300000

 

300,000

5 spaces, 5 zeros
Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

6 × 10-7

 

0000006

 

0.0000006

7 spaces, 6 zeros
Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

7.7 × 106

 

7.700000

 

7,700,000

6 spaces, 5 zeros
Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

8.6 × 10-6

 

000008.6

 

0.0000086

6 spaces, 5 zeros
Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

6.942 × 103

 

6.942

 

6,942

3 spaces, 0 zeros
Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

2.618 × 10-5

 

00002.618

 

0.00002618

5 spaces, 4 zeros

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

5 × 108

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

Right for positive exponents

Left for negative exponents

7 × 10-5

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

3.4 × 104

Right for positive exponents

Left for negative exponents

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

1.3 × 10-9

Right for positive exponents

Left for negative exponents

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

9.772 × 104

Right for positive exponents

Left for negative exponents

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

PRACTICE:

Scientific Notation to Standard Form:

Move the decimal the same number of places

as the exponent on the power of ten.

1.814 × 10-6

Right for positive exponents

Left for negative exponents

spaces

zeros
right

=

left

*Put commas

*Put the initial zero

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