Q: How is the number 6,333,644 written in Scientific Notation?

 A: 6.333644 x 106

Why is 6,333,644 written as 6.333644 x 106 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 6,333,644 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

  • Original Number: 6,333,644
  • New Number: 6.333644

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 6.333644
Decimal Count: 123456

There are 6 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.333644

b = 6

Now the whole thing:

6.333644 x 106

Step 4

Check your work:

106 = 1,000,000 x 6.333644 = 6,333,644


More Scientific Notation Examples

6,333,6426,333,6436,333,6456,333,646
6.333642 x 1066.333643 x 1066.333645 x 1066.333646 x 106

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