Q: How is the number 345,222,048 written in Scientific Notation?

 A: 3.45222048 x 108

Why is 345,222,048 written as 3.45222048 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 345,222,048 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: 345,222,048
  • New Number: 3.45222048

Step 2

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

New Number: 3.45222048
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 = 3.45222048

b = 8

Now the whole thing:

3.45222048 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.45222048 = 345,222,048


More Scientific Notation Examples

345,222,046345,222,047345,222,049345,222,050
3.45222046 x 1083.45222047 x 1083.45222049 x 1083.4522205 x 108

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