Q: How is the number 138,402,578 written in Scientific Notation?

 A: 1.38402578 x 108

Why is 138,402,578 written as 1.38402578 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 138,402,578 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: 138,402,578
  • New Number: 1.38402578

Step 2

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

New Number: 1.38402578
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 = 1.38402578

b = 8

Now the whole thing:

1.38402578 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.38402578 = 138,402,578


More Scientific Notation Examples

138,402,576138,402,577138,402,579138,402,580
1.38402576 x 1081.38402577 x 1081.38402579 x 1081.3840258 x 108

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