Q: How is the number 211,632,515 written in Scientific Notation?

 A: 2.11632515 x 108

Why is 211,632,515 written as 2.11632515 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 211,632,515 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: 211,632,515
  • New Number: 2.11632515

Step 2

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

New Number: 2.11632515
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 = 2.11632515

b = 8

Now the whole thing:

2.11632515 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.11632515 = 211,632,515


More Scientific Notation Examples

211,632,513211,632,514211,632,516211,632,517
2.11632513 x 1082.11632514 x 1082.11632516 x 1082.11632517 x 108

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