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**How to Convert A Number To Scientific Notation?**

Very large or very small numbers are usually written in**scientific notation: **

**The following video shows more examples of converting numbers to scientific notation**
**Learn how to convert in and out of scientific notation in these step by step examples**

More Lessons for Arithmetic

Math Worksheets

Very large or very small numbers are usually written in

A × 10^{n} where 1 ≤ |A| < 10 and n is an integer.

** Example: **

2 350 000 = 2.35 × 10^{6}

0.000 875 4 = 8.754 × 10^{–4}

To convert a number into scientific notation:

** Method 1 **

Rewrite the number as a product of a number A such that 1 ≤ |A| < 10 and a power of 10.

** Example: **

64 000 = 6.4 × 10 000

= 6.4 × 10^{4}

** Method 2 **

** Step 1** : Shift the decimal point of the number A to the left or to the right until 1 ≤ |A| < 10

**Step 2 **: Count the number of places that the decimal point has moved. The count would be the index n. If the decimal point was moved to the left then n is positive. If the decimal point was moved to the right then n is negative.

**Example: **

** Example: **

Write each of the following numbers in scientific notation:

a) 734 000 b) 0.00685

** Solution: **

a) 734 000 = 7.34 × 10 000 = 7.34 × 10^{5}

or

b) 0.00685 = 6.85 × = 6.85 × 10^{-3}

or

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