Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

answer the following. (a) the total surface area of europe is approxima…

Question

answer the following. (a) the total surface area of europe is approximately 3,930,000 square miles. write this number in scientific notation. (b) the signal from a certain satellite takes approximately 1.3×10^(-3) seconds to reach earth. write this number in standard notation. (a) 3.55×10^6 square miles (b) 0.0013 seconds your answer is incorrect. (a): your answer is incorrect. try again

Explanation:

Step1: Convert number to scientific - notation for (a)

Scientific notation is of the form $a\times10^{n}$, where $1\leq a < 10$ and $n$ is an integer. For the number $3930000$, move the decimal point 6 places to the left. So, $a = 3.93$ and $n=6$. The scientific - notation is $3.93\times 10^{6}$.

Step2: Convert number to standard notation for (b)

The number in scientific notation is $1.3\times 10^{-3}$. To convert to standard notation, move the decimal point 3 places to the left since the exponent of 10 is - 3. So, $1.3\times 10^{-3}=0.0013$.

Answer:

(a) $3.93\times 10^{6}$
(b) $0.0013$