Question

Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6. explain Andrea’s mistake and give the correct answer

Answer 1

Answer:

Correct answer = $1.35\times10^{12}$

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:

$a^{m} \times a^{n} =a^{m+n}$

$Similarly,\ 10^{6} \times 10^{6}=10^{6+6}=10^{12}$

Hence when we multiplied 6.75 x 10^6 and 0.2 x 10^6 originally we got $1.35\times10^{12}$