Q: How is the number 414,123,208 written in Scientific Notation?

 A: 4.14123208 x 108

Why is 414,123,208 written as 4.14123208 x 108 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 414,123,208 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: 414,123,208
  • New Number: 4.14123208

Step 2

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

New Number: 4.14123208
Decimal Count: 12345678

There are 8 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 = 4.14123208

b = 8

Now the whole thing:

4.14123208 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.14123208 = 414,123,208


More Scientific Notation Examples

414,123,206414,123,207414,123,209414,123,210
4.14123206 x 1084.14123207 x 1084.14123209 x 1084.1412321 x 108

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