Algebra Scientific Notation

Question

There are a total of 463,100 books in the library. Write this number in Scientific Notation.

Answer 1

463,100 = 4.631 x 10^5

to go from 463100 to 4.631 requires moving the decimal point 5 times to the left

so 10 has an exponent of 5

4.631 x 10^5 = 4.631 x 100,000 = 463,100

Answer 2

If 2 decimal places of accuracy is required, then the answer is 4.63 × 10⁵.

If 3 decimal places of accuracy is acceptable, then the answer is 4.631 × 10⁵.

The number on the left must be at least 1, but no larger than 10. The exponent of 10 should be moved appropriately.