# Writing And Evaluating Scientific Notation Worksheet

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