Q: How is the number 40,523,658 written in Scientific Notation?

 A: 4.0523658 x 107

Why is 40,523,658 written as 4.0523658 x 107 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 40,523,658 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: 40,523,658
  • New Number: 4.0523658

Step 2

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

New Number: 4.0523658
Decimal Count: 1234567

There are 7 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 = 4.0523658

b = 7

Now the whole thing:

4.0523658 x 107

Step 4

Check your work:

107 = 10,000,000 x 4.0523658 = 40,523,658


More Scientific Notation Examples

40,523,65640,523,65740,523,65940,523,660
4.0523656 x 1074.0523657 x 1074.0523659 x 1074.052366 x 107

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