Q: How is the number 41,585,758 written in Scientific Notation?

 A: 4.1585758 x 107

Why is 41,585,758 written as 4.1585758 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 41,585,758 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: 41,585,758
  • New Number: 4.1585758

Step 2

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

New Number: 4.1585758
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 = 4.1585758

b = 7

Now the whole thing:

4.1585758 x 107

Step 4

Check your work:

107 = 10,000,000 x 4.1585758 = 41,585,758


More Scientific Notation Examples

41,585,75641,585,75741,585,75941,585,760
4.1585756 x 1074.1585757 x 1074.1585759 x 1074.158576 x 107

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