Question

1.06 x 10^7 and 2.65 x 10^4

Answer 1

Answer:

4.0 x 10^2

Step-by-step explanation:

We are finding the quotient of the numbers in scientific notation. At first, we can write the quotient as

$\frac{1.06~x~10^{7} }{2.06 ~x 10^{4} }$

Let's try to rewrite the numbers in scientific notation. We can rewrite 1.06 x 10^7 into

$1.06 ~x~10^{7}~ = 1060 ~x~10^{4}$

which are the same. We can also rewrite 2.65 x 10^4 into

$2.65~x ~10^{4} ~= 2.65~x~10^{2}$

Now we have

$\frac{1060~x10^{4} }{265~x~10^{2} }$

1060 divided by 265 results to 4. And if we divide scientific notation, we just subtract the exponents on 10s. In this case, we have 4 and 2. 4-2 yields 2.

Hence, the final answer to this problem is

$4.0~x~10^{2}$