Q: How is the number 29,689,226 written in Scientific Notation?
A: 2.9689226 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 29,689,226 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: | 2 | . | 9 | 6 | 8 | 9 | 2 | 2 | 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 = 2.9689226
b = 7
Now the whole thing:
2.9689226 x 107
Check your work:
107 = 10,000,000 x 2.9689226 = 29,689,226
29,689,224 | 29,689,225 | 29,689,227 | 29,689,228 |
2.9689224 x 107 | 2.9689225 x 107 | 2.9689227 x 107 | 2.9689228 x 107 |