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DIA [1.3K]
3 years ago
12

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

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

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 <u>exponential question</u>:

Here Andrea simply <u>added </u>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 <u>multiply</u> 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:-

<u>As we know:</u>

<u></u>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}

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