Q: How is the number 402,034,540 written in Scientific Notation?

 A: 4.0203454 x 108

Why is 402,034,540 written as 4.0203454 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 402,034,540 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: 402,034,540
  • New Number: 4.02034540

Step 2

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

New Number: 4.02034540
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 = 4.0203454 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

4.0203454 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.0203454 = 402,034,540


More Scientific Notation Examples

402,034,538402,034,539402,034,541402,034,542
4.02034538 x 1084.02034539 x 1084.02034541 x 1084.02034542 x 108

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