Q: How is the number 334,202,084 written in Scientific Notation?

 A: 3.34202084 x 108

Why is 334,202,084 written as 3.34202084 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 334,202,084 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: 334,202,084
  • New Number: 3.34202084

Step 2

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

New Number: 3.34202084
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 = 3.34202084

b = 8

Now the whole thing:

3.34202084 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.34202084 = 334,202,084


More Scientific Notation Examples

334,202,082334,202,083334,202,085334,202,086
3.34202082 x 1083.34202083 x 1083.34202085 x 1083.34202086 x 108

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