Q: How is the number 10,290,824 written in Scientific Notation?
A: 1.0290824 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 10,290,824 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 | . | 0 | 2 | 9 | 0 | 8 | 2 | 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 = 1.0290824
b = 7
Now the whole thing:
1.0290824 x 107
Check your work:
107 = 10,000,000 x 1.0290824 = 10,290,824
10,290,822 | 10,290,823 | 10,290,825 | 10,290,826 |
1.0290822 x 107 | 1.0290823 x 107 | 1.0290825 x 107 | 1.0290826 x 107 |