Q: How is the number 13,724,471 written in Scientific Notation?

 A: 1.3724471 x 107

Why is 13,724,471 written as 1.3724471 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 13,724,471 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: 13,724,471
  • New Number: 1.3724471

Step 2

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

New Number: 1.3724471
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 = 1.3724471

b = 7

Now the whole thing:

1.3724471 x 107

Step 4

Check your work:

107 = 10,000,000 x 1.3724471 = 13,724,471


More Scientific Notation Examples

13,724,46913,724,47013,724,47213,724,473
1.3724469 x 1071.372447 x 1071.3724472 x 1071.3724473 x 107

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