Q: How is the number 407,144,641 written in Scientific Notation?

 A: 4.07144641 x 108

Why is 407,144,641 written as 4.07144641 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 407,144,641 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: 407,144,641
  • New Number: 4.07144641

Step 2

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

New Number: 4.07144641
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 = 4.07144641

b = 8

Now the whole thing:

4.07144641 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.07144641 = 407,144,641


More Scientific Notation Examples

407,144,639407,144,640407,144,642407,144,643
4.07144639 x 1084.0714464 x 1084.07144642 x 1084.07144643 x 108

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