Q: How is the number 146,249,635 written in Scientific Notation?

 A: 1.46249635 x 108

Why is 146,249,635 written as 1.46249635 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 146,249,635 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: 146,249,635
  • New Number: 1.46249635

Step 2

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

New Number: 1.46249635
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 = 1.46249635

b = 8

Now the whole thing:

1.46249635 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.46249635 = 146,249,635


More Scientific Notation Examples

146,249,633146,249,634146,249,636146,249,637
1.46249633 x 1081.46249634 x 1081.46249636 x 1081.46249637 x 108

Explore more about the number 146,249,635:


Ask a Question