Question

Round the following number to four significant figures and express the result in standard exponential notation: 442,722 *

Answer 1

Answer:

4.427 × 10⁵

Explanation:

In mathematics, rounding up a number is a way to get a more simpler figure but not too distant from the original number. Rounding up a whole number like this (442722) to significant figures means having only four non-zero digits in the figure i.e. 442722 ~ 442700.

This means that 442722 has been rounded up to 4s.f. Hence, to use scientific notations to represent our answer, we count the number of decimal places from right to left i.e.

442700 = 5 decimal places if the point is between 4 and 4 i.e. 4.427

Therefore, the figure 442700 can be written as 4.427 × 10⁵ using scientific notation.