Q: How is the number 168,301,313 written in Scientific Notation?

 A: 1.68301313 x 108

Why is 168,301,313 written as 1.68301313 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 168,301,313 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: 168,301,313
  • New Number: 1.68301313

Step 2

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

New Number: 1.68301313
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 = 1.68301313

b = 8

Now the whole thing:

1.68301313 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.68301313 = 168,301,313


More Scientific Notation Examples

168,301,311168,301,312168,301,314168,301,315
1.68301311 x 1081.68301312 x 1081.68301314 x 1081.68301315 x 108

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