Q: How is the number 39,152,148 written in Scientific Notation?

 A: 3.9152148 x 107

Why is 39,152,148 written as 3.9152148 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 39,152,148 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: 39,152,148
  • New Number: 3.9152148

Step 2

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

New Number: 3.9152148
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 = 3.9152148

b = 7

Now the whole thing:

3.9152148 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.9152148 = 39,152,148


More Scientific Notation Examples

39,152,14639,152,14739,152,14939,152,150
3.9152146 x 1073.9152147 x 1073.9152149 x 1073.915215 x 107

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