Q: How is the number 115,633 written in Scientific Notation?

 A: 1.15633 x 105

Why is 115,633 written as 1.15633 x 105 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 115,633 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: 115,633
  • New Number: 1.15633

Step 2

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

New Number: 1.15633
Decimal Count: 12345

There are 5 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 = 1.15633

b = 5

Now the whole thing:

1.15633 x 105

Step 4

Check your work:

105 = 100,000 x 1.15633 = 115,633


More Scientific Notation Examples

115,631115,632115,634115,635
1.15631 x 1051.15632 x 1051.15634 x 1051.15635 x 105

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