Question

Determine the order of magnitude of the following small number by entering the appropriate exponent n below:

6,370 ≈ 10^n km

Answer 1

The complete question is;

Determine the order of magnitude of the following small number by entering the appropriate exponent n below: 6,370km≈10^n km .

Order of magnitude is 3.

• Now, when dealing with order of magnitude, we first write the number in scientific notation. We will have; 6.37 × 10³ km

• The second thing we now do is to approximate the numerical part to either 1 or 10 as the case may be.

        In this case, we have 6.37 and it is closer to 10 than 1.

• Thus, rewriting our number, we now have; 10 × 10³ km

The order of magnitude is the exponent attached to the 10 on the right.

Thus, order of magnitude is 3.

Read more here; brainly.in/question/5222359

Answer 2

The order of magnitude of the given number will be "3.804".

According to the question, the number is:

→ $6370 \ km = 10^n \ km$

By taking "$log_{10}$" both sides, we get

→ $log_{10}(6370) = log_{10} \ 10^n$

By putting the values accordingly, we get

→ $log_{10} (6370) = n$

→                $n = 3.804$

Thus the above answer is correct.

Learn more about order of magnitude here:

https://brainly.com/question/4953281