Q: How is the number 701,585,305 written in Scientific Notation?

 A: 7.01585305 x 108

Why is 701,585,305 written as 7.01585305 x 108 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 701,585,305 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: 701,585,305
  • New Number: 7.01585305

Step 2

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

New Number: 7.01585305
Decimal Count: 12345678

There are 8 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 = 7.01585305

b = 8

Now the whole thing:

7.01585305 x 108

Step 4

Check your work:

108 = 100,000,000 x 7.01585305 = 701,585,305


More Scientific Notation Examples

701,585,303701,585,304701,585,306701,585,307
7.01585303 x 1087.01585304 x 1087.01585306 x 1087.01585307 x 108

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