Q: How is the number 4,138,399 written in Scientific Notation?

 A: 4.138399 x 106

Why is 4,138,399 written as 4.138399 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 4,138,399 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: 4,138,399
  • New Number: 4.138399

Step 2

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

New Number: 4.138399
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 = 4.138399

b = 6

Now the whole thing:

4.138399 x 106

Step 4

Check your work:

106 = 1,000,000 x 4.138399 = 4,138,399


More Scientific Notation Examples

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4.138397 x 1064.138398 x 1064.1384 x 1064.138401 x 106

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