Q: How is the number 13,758,128 written in Scientific Notation?
A: 1.3758128 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 13,758,128 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: | 1 | . | 3 | 7 | 5 | 8 | 1 | 2 | 8 |
| 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 = 1.3758128
b = 7
Now the whole thing:
1.3758128 x 107
Check your work:
107 = 10,000,000 x 1.3758128 = 13,758,128
| 13,758,126 | 13,758,127 | 13,758,129 | 13,758,130 |
| 1.3758126 x 107 | 1.3758127 x 107 | 1.3758129 x 107 | 1.375813 x 107 |