Q: How is the number 954,078 written in Scientific Notation?

 A: 9.54078 x 105

Why is 954,078 written as 9.54078 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 954,078 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: 954,078
  • New Number: 9.54078

Step 2

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

New Number: 9.54078
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 = 9.54078

b = 5

Now the whole thing:

9.54078 x 105

Step 4

Check your work:

105 = 100,000 x 9.54078 = 954,078


More Scientific Notation Examples

954,076954,077954,079954,080
9.54076 x 1059.54077 x 1059.54079 x 1059.5408 x 105

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