Respuesta :
Answer:
Correct answer = [tex]1.35\times10^{12}[/tex]
Step-by-step explanation:
Given:
Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6.
Question asked:
Explain Andrea’s mistake and give the correct answer.
Solution:
The above question is of exponential question:
Here Andrea simply added 6.75 to 0.2 and got 6.95 and took 10^6 as common and written down wholly 6.95 x 10^6 which is incorrect.
Here we multiply 6.75 to 0.2 and get 1.35 and secondly to multiply 10^6 with 10^6 we have to understand the rule of exponents:-
As we know:
[tex]a^{m} \times a^{n} =a^{m+n}[/tex]
[tex]Similarly,\ 10^{6} \times 10^{6}=10^{6+6}=10^{12}[/tex]
Hence when we multiplied 6.75 x 10^6 and 0.2 x 10^6 originally we got [tex]1.35\times10^{12}[/tex]
