Math CentralQuandaries & Queries


Question from Ramon, a student:

express the numbers 990 614 000 005 in expanded exponential form.

Hi Ramon,

We have received questions about exponential form many times and it is not clear what is expected. Exponential form means anything that involves exponents. Thus for example 4235 can be written $42.35 \times 10^2$ or also $4.235 \times 10^3 .$ My guess is that for your problem what is expected is that you are to expand each number using base 10, place value notation. Thus the number 745 would be written

\[7 \times 10^2 + 4 \times 10^1 \times 5 \times 10^0 \mbox{ or } 7 \times 10^2 + 4 \times 10 \times 5 \]


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