Q: How is the number 218,171,410 written in Scientific Notation?

 A: 2.1817141 x 108

Why is 218,171,410 written as 2.1817141 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 218,171,410 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: 218,171,410
  • New Number: 2.18171410

Step 2

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

New Number: 2.18171410
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 = 2.1817141 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

2.1817141 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.1817141 = 218,171,410


More Scientific Notation Examples

218,171,408218,171,409218,171,411218,171,412
2.18171408 x 1082.18171409 x 1082.18171411 x 1082.18171412 x 108

Explore more about the number 218,171,410:


Ask a Question