Q: How is the number 100,011,645 written in Scientific Notation?

 A: 1.00011645 x 108

Why is 100,011,645 written as 1.00011645 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 100,011,645 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: 100,011,645
  • New Number: 1.00011645

Step 2

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

New Number: 1.00011645
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 = 1.00011645

b = 8

Now the whole thing:

1.00011645 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.00011645 = 100,011,645


More Scientific Notation Examples

100,011,643100,011,644100,011,646100,011,647
1.00011643 x 1081.00011644 x 1081.00011646 x 1081.00011647 x 108

Explore more about the number 100,011,645:


Ask a Question