Q: How is the number 54,329,096 written in Scientific Notation?
A: 5.4329096 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 54,329,096 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: | 5 | . | 4 | 3 | 2 | 9 | 0 | 9 | 6 |
| 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 = 5.4329096
b = 7
Now the whole thing:
5.4329096 x 107
Check your work:
107 = 10,000,000 x 5.4329096 = 54,329,096
| 54,329,094 | 54,329,095 | 54,329,097 | 54,329,098 |
| 5.4329094 x 107 | 5.4329095 x 107 | 5.4329097 x 107 | 5.4329098 x 107 |