# What is 282,000 in normalized scientific notation?

$$2.82 \times 10^{5}$$

Explanation

Scientific notation is a way of writing large numbers as $$n \times {10^b}$$ where b is an integer and n is any real number. Normalized scientific notation ammends this format by specifying that the variable b should be chosen so that the absolute value of the variable $$n \text { is } \geq 1 \text { and }<10$$.

For example, in scientific notation $$11.1 \times {10^3}$$ is a valid way of writing 11,100 but in normalized scientific notation 11,100 must be written as $$11.1 \times {10^4}$$ .

So, in this problem, 282,000 in normalized scientific notation is $$2.82 \times {10^5}$$ .