Calculate the following expression to verify your math:
\[9.99 \times 10^{-2} + 1.11 \times 10^{-2}\]
If you don't have the same scientific calculator as the one from school, you can try using a different one or a calculator app to ensure your math is correct.
Answer (2)
The answer should not depend on which machine or which pencil you use to find it. If you work a problem two different ways and get two different answers, then at least one of them is wrong, and there's a pretty good chance that both of them are.
(9.99 of anything) + (1.11 of the same thing) = 11.1 of them
9.99 (x 10^-2) + 1.11 (x 10^-2) = 11.1 (x 10^-2) .
Can we do any more with that ?
10^-2 = 1 / 10^2 = 1 / 100 .
11.1 x 10^-2 = 11.1 / 100 = 0.111
The expression 9.99 × 1 0 − 2 + 1.11 × 1 0 − 2 adds to 0.111 when calculated. This is achieved by adding the coefficients since both terms share the same exponent. Finally, the result can be presented in decimal form as 0.111 .
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