Q: How is the number 638,346,266 written in Scientific Notation?

 A: 6.38346266 x 108

Why is 638,346,266 written as 6.38346266 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 638,346,266 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: 638,346,266
  • New Number: 6.38346266

Step 2

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

New Number: 6.38346266
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 = 6.38346266

b = 8

Now the whole thing:

6.38346266 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.38346266 = 638,346,266


More Scientific Notation Examples

638,346,264638,346,265638,346,267638,346,268
6.38346264 x 1086.38346265 x 1086.38346267 x 1086.38346268 x 108

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