Q: How is the number 5,295,464 written in Scientific Notation?

 A: 5.295464 x 106

Why is 5,295,464 written as 5.295464 x 106 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 5,295,464 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: 5,295,464
  • New Number: 5.295464

Step 2

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

New Number: 5.295464
Decimal Count: 123456

There are 6 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 = 5.295464

b = 6

Now the whole thing:

5.295464 x 106

Step 4

Check your work:

106 = 1,000,000 x 5.295464 = 5,295,464


More Scientific Notation Examples

5,295,4625,295,4635,295,4655,295,466
5.295462 x 1065.295463 x 1065.295465 x 1065.295466 x 106

Explore more about the number 5,295,464:


Ask a Question