Q: How is the number 123,785 written in Scientific Notation?

 A: 1.23785 x 105

Why is 123,785 written as 1.23785 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 123,785 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: 123,785
  • New Number: 1.23785

Step 2

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

New Number: 1.23785
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 = 1.23785

b = 5

Now the whole thing:

1.23785 x 105

Step 4

Check your work:

105 = 100,000 x 1.23785 = 123,785


More Scientific Notation Examples

123,783123,784123,786123,787
1.23783 x 1051.23784 x 1051.23786 x 1051.23787 x 105

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