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Black – Multiply Decimals with Decimals

Scientific Notation

Writing and Evaluating Scientific Notation

Scientific notation is a shorthand way of writing numbers using

powers of 10. You write a number in scientific notation as the product

of two factors.

Second factor is

a power of 10.

7,500,000,000,000 = 7.5 x

12

10

First factor is greater than or equal to 1, but less than 10.

Scientific notation lets you know the size of a number without having

to count digits. For example, if the exponent of 10 is 6, the number is

in the millions. If the exponent is 9, the number is in the billions.

1.

Complete the chart below.

5 x 10

= 5 x 10.000 = 50.000

4

5 x

= 5 x 1000

=

3

10

5 x

= 5 x

=

10

2

5 x 10

= 5 x

=

1

5 x

= 5 x

=

0

10

1

5 x 10

= 5 x

= 5 x 0.1

= 0.5

-‐ 1

10

5 x 10

= 5 x

= 5 x 0.01 = 0.05

-‐ 2

5 x 10

= 5 x

= 5 x

= 0.005

-‐ 3

5 x 10

= 5 x

= 5 x

=

-‐ 4

2. Patterns. Describe the pattern you see in your chart.

3. a.

Based on the pattern you see, simplify 5 x

7

10

b.

Simplify 5 x 10

.

-‐ 6

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Parent category: Education