Q: How is the number 233,487,827 written in Scientific Notation?

 A: 2.33487827 x 108

Why is 233,487,827 written as 2.33487827 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 233,487,827 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: 233,487,827
  • New Number: 2.33487827

Step 2

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

New Number: 2.33487827
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 = 2.33487827

b = 8

Now the whole thing:

2.33487827 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.33487827 = 233,487,827


More Scientific Notation Examples

233,487,825233,487,826233,487,828233,487,829
2.33487825 x 1082.33487826 x 1082.33487828 x 1082.33487829 x 108

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