Q: How is the number 458,120 written in Scientific Notation?

 A: 4.5812 x 105

Why is 458,120 written as 4.5812 x 105 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 458,120 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: 458,120
  • New Number: 4.58120

Step 2

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

New Number: 4.58120
Decimal Count: 12345

There are 5 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 = 4.5812 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

4.5812 x 105

Step 4

Check your work:

105 = 100,000 x 4.5812 = 458,120


More Scientific Notation Examples

458,118458,119458,121458,122
4.58118 x 1054.58119 x 1054.58121 x 1054.58122 x 105

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