Q: How is the number 78,508,154 written in Scientific Notation?
A: 7.8508154 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 78,508,154 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 | . | 8 | 5 | 0 | 8 | 1 | 5 | 4 |
| 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 = 7.8508154
b = 7
Now the whole thing:
7.8508154 x 107
Check your work:
107 = 10,000,000 x 7.8508154 = 78,508,154
| 78,508,152 | 78,508,153 | 78,508,155 | 78,508,156 |
| 7.8508152 x 107 | 7.8508153 x 107 | 7.8508155 x 107 | 7.8508156 x 107 |