Question

Levi needs to write 263,000,700,000 in scientific notation. He says that the exponent in the second factor is negative. Is Levi's reasoning correct? Use the drop-down menus to explain your answer. The exponent would be blank because the number Levi wrote in scientific notation is blank one.

Answer 1

Answer : No, levi's reasoning is incorrect. The correct answer is, $2.63\times 10^{11}$

Step-by-step explanation :

Scientific notation : It is the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.  The numerical digit lies between 0.1.... to 9.9.....

For example :

5000 is written as $5.0\times 10^3$

889.9 is written as $8.899\times 10^{-2}$

In this examples, 5000 and 889.9 are written in the standard notation and $5.0\times 10^3$  and $8.899\times 10^{-2}$  are written in the scientific notation.

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

As we are given the 263,000,700,000 in standard notation.

Now converting this into scientific notation, we get:

$\Rightarrow 263,000,700,000=2.63\times 10^{11}$

As, the decimal point is shifting to left side, thus the power of 10 is positive.

Hence, the correct answer is, $2.63\times 10^{11}$

Answer 2

Answer:

Yes, because the scientific notation of 263,000,700,000 is $2.630007 * 10x^{11}$.

Step-by-step explanation: