Q: How is the number 650,171,158 written in Scientific Notation?

 A: 6.50171158 x 108

Why is 650,171,158 written as 6.50171158 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 650,171,158 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: 650,171,158
  • New Number: 6.50171158

Step 2

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

New Number: 6.50171158
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 = 6.50171158

b = 8

Now the whole thing:

6.50171158 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.50171158 = 650,171,158


More Scientific Notation Examples

650,171,156650,171,157650,171,159650,171,160
6.50171156 x 1086.50171157 x 1086.50171159 x 1086.5017116 x 108

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