Q: How is the number 138,056 written in Scientific Notation?

 A: 1.38056 x 105

Why is 138,056 written as 1.38056 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 138,056 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: 138,056
  • New Number: 1.38056

Step 2

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

New Number: 1.38056
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 = 1.38056

b = 5

Now the whole thing:

1.38056 x 105

Step 4

Check your work:

105 = 100,000 x 1.38056 = 138,056


More Scientific Notation Examples

138,054138,055138,057138,058
1.38054 x 1051.38055 x 1051.38057 x 1051.38058 x 105

Explore more about the number 138,056:


Ask a Question