Q: How is the number 17,166,461 written in Scientific Notation?
A: 1.7166461 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 17,166,461 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 | . | 7 | 1 | 6 | 6 | 4 | 6 | 1 |
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 = 1.7166461
b = 7
Now the whole thing:
1.7166461 x 107
Check your work:
107 = 10,000,000 x 1.7166461 = 17,166,461
17,166,459 | 17,166,460 | 17,166,462 | 17,166,463 |
1.7166459 x 107 | 1.716646 x 107 | 1.7166462 x 107 | 1.7166463 x 107 |