Ximpledu

Scientific Notation

See how to write and solve a number
in scientific notation.
8 examples and their solutions.

Scientific Notation

Definition

a × 10n

1 ≤ a < 10
n: integer
Scientific notation is a way to write a number
that is too big or too small.
a: shows how the number looks like.
n: shows how big the number is
1.23 = 1.23 × 100
12.3 = 1.23 × 101
123 = 1.23 × 102
1230 = 1.23 × 103

Scientific Notation → Standard Notation

Example

310200
Solution

Example

0.00509
Solution

Standard Notation → Scientific Notation

Example

7.95 × 106
Solution

Example

8.6 × 10-4
Solution

Multiplying Scientific Notation

Example

(2.15 × 103)⋅(1.98 × 105)
Solution

Example

(8.73 × 104)⋅(9.01 × 102)
Solution

Dividing Scientific Notation

Example

(9.02 × 107) ÷ (3.75 × 104)
Solution

Example

(1.57 × 108) ÷ (8.06 × 105)
Solution