Q: How is the number 130,271,854 written in Scientific Notation?

 A: 1.30271854 x 108

Why is 130,271,854 written as 1.30271854 x 108 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 130,271,854 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: 130,271,854
  • New Number: 1.30271854

Step 2

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

New Number: 1.30271854
Decimal Count: 12345678

There are 8 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 = 1.30271854

b = 8

Now the whole thing:

1.30271854 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.30271854 = 130,271,854


More Scientific Notation Examples

130,271,852130,271,853130,271,855130,271,856
1.30271852 x 1081.30271853 x 1081.30271855 x 1081.30271856 x 108

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