Q: How is the number 100,233 written in Scientific Notation?

 A: 1.00233 x 105

Why is 100,233 written as 1.00233 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 100,233 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: 100,233
  • New Number: 1.00233

Step 2

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

New Number: 1.00233
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 = 1.00233

b = 5

Now the whole thing:

1.00233 x 105

Step 4

Check your work:

105 = 100,000 x 1.00233 = 100,233


More Scientific Notation Examples

100,231100,232100,234100,235
1.00231 x 1051.00232 x 1051.00234 x 1051.00235 x 105

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