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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****
**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Arithmetic

Math Worksheets

Very large or very small numbers are usually written in

*A* × 10* ^{n}* where 1 ≤ |A| < 10 and

* 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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