Q: How is the number 33,464,134 written in Scientific Notation?

 A: 3.3464134 x 107

Why is 33,464,134 written as 3.3464134 x 107 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 33,464,134 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: 33,464,134
  • New Number: 3.3464134

Step 2

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

New Number: 3.3464134
Decimal Count: 1234567

There are 7 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 = 3.3464134

b = 7

Now the whole thing:

3.3464134 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.3464134 = 33,464,134


More Scientific Notation Examples

33,464,13233,464,13333,464,13533,464,136
3.3464132 x 1073.3464133 x 1073.3464135 x 1073.3464136 x 107

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