Q: How is the number 738,311,461 written in Scientific Notation?

 A: 7.38311461 x 108

Why is 738,311,461 written as 7.38311461 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 738,311,461 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: 738,311,461
  • New Number: 7.38311461

Step 2

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

New Number: 7.38311461
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 = 7.38311461

b = 8

Now the whole thing:

7.38311461 x 108

Step 4

Check your work:

108 = 100,000,000 x 7.38311461 = 738,311,461


More Scientific Notation Examples

738,311,459738,311,460738,311,462738,311,463
7.38311459 x 1087.3831146 x 1087.38311462 x 1087.38311463 x 108

Explore more about the number 738,311,461:


Ask a Question