Q: How is the number 135,636,401 written in Scientific Notation?

 A: 1.35636401 x 108

Why is 135,636,401 written as 1.35636401 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 135,636,401 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: 135,636,401
  • New Number: 1.35636401

Step 2

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

New Number: 1.35636401
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 = 1.35636401

b = 8

Now the whole thing:

1.35636401 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.35636401 = 135,636,401


More Scientific Notation Examples

135,636,399135,636,400135,636,402135,636,403
1.35636399 x 1081.356364 x 1081.35636402 x 1081.35636403 x 108

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