Q: How is the number 70,513,549 written in Scientific Notation?
A: 7.0513549 x 107
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 70,513,549 is written in scientific notation.
To find a, take the number and move a decimal place to the right one position.
Now, to find b, count how many places to the right of the decimal.
| New Number: | 7 | . | 0 | 5 | 1 | 3 | 5 | 4 | 9 |
| Decimal Count: | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
There are 7 places to the right of the decimal place.
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 7.0513549
b = 7
Now the whole thing:
7.0513549 x 107
Check your work:
107 = 10,000,000 x 7.0513549 = 70,513,549
| 70,513,547 | 70,513,548 | 70,513,550 | 70,513,551 |
| 7.0513547 x 107 | 7.0513548 x 107 | 7.051355 x 107 | 7.0513551 x 107 |