Question

5 the distance from the earth to mars is approximately 33,900,000 miles. write this distance in scientific notation.
6 the approximate speed of light is 1,080,000,000 kilometers per hour. write this speed in scientific notation.
write each number in standard notation.
7 6.8 x 10^7
8 3.07 x 10^4
9 4.192 x 10^8
10 4 x 10^5
11 the diameter of jupiter is approximately 8.69 x 10^4 miles. write this distance in standard notation.
12 the population of china, in 2017, was approximately 1.386 x 10^9. write this number in standard notation.

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer.

Step2: Convert 33900000 to scientific notation

Move the decimal point 7 places to the left, so $a = 3.39$ and $n=7$. The number is $3.39\times 10^{7}$.

Step3: Convert 1080000000 to scientific notation

Move the decimal point 9 places to the left, so $a = 1.08$ and $n = 9$. The number is $1.08\times 10^{9}$.

Step4: Recall standard - notation rule

To convert from scientific notation $a\times10^{n}$ to standard notation, if $n\gt0$, move the decimal point $n$ places to the right.

Step5: Convert $6.8\times 10^{7}$ to standard notation

Move the decimal point 7 places to the right: $68000000$.

Step6: Convert $3.07\times 10^{4}$ to standard notation

Move the decimal point 4 places to the right: $30700$.

Step7: Convert $4.192\times 10^{8}$ to standard notation

Move the decimal point 8 places to the right: $419200000$.

Step8: Convert $4\times 10^{5}$ to standard notation

Move the decimal point 5 places to the right: $400000$.

Step9: Convert $8.69\times 10^{4}$ to standard notation

Move the decimal point 4 places to the right: $86900$.

Step10: Convert $1.386\times 10^{9}$ to standard notation

Move the decimal point 9 places to the right: $1386000000$.

Answer:

1. $3.39\times 10^{7}$
2. $1.08\times 10^{9}$
3. $68000000$
4. $30700$
5. $419200000$
6. $400000$
7. $86900$
8. $1386000000$