Q: How is the number 46,031,380 written in Scientific Notation?

 A: 4.603138 x 107

Why is 46,031,380 written as 4.603138 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 46,031,380 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: 46,031,380
  • New Number: 4.6031380

Step 2

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

New Number: 4.6031380
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 = 4.603138 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

4.603138 x 107

Step 4

Check your work:

107 = 10,000,000 x 4.603138 = 46,031,380


More Scientific Notation Examples

46,031,37846,031,37946,031,38146,031,382
4.6031378 x 1074.6031379 x 1074.6031381 x 1074.6031382 x 107

Explore more about the number 46,031,380:


Ask a Question