Q: How is the number 118,130 written in Scientific Notation?

 A: 1.1813 x 105

Why is 118,130 written as 1.1813 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 118,130 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: 118,130
  • New Number: 1.18130

Step 2

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

New Number: 1.18130
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 = 1.1813 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

1.1813 x 105

Step 4

Check your work:

105 = 100,000 x 1.1813 = 118,130


More Scientific Notation Examples

118,128118,129118,131118,132
1.18128 x 1051.18129 x 1051.18131 x 1051.18132 x 105

Explore more about the number 118,130:


Ask a Question