Q: How is the number 211,742,553 written in Scientific Notation?

 A: 2.11742553 x 108

Why is 211,742,553 written as 2.11742553 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 211,742,553 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: 211,742,553
  • New Number: 2.11742553

Step 2

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

New Number: 2.11742553
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 = 2.11742553

b = 8

Now the whole thing:

2.11742553 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.11742553 = 211,742,553


More Scientific Notation Examples

211,742,551211,742,552211,742,554211,742,555
2.11742551 x 1082.11742552 x 1082.11742554 x 1082.11742555 x 108

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