A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

4,739,000 in scientific notation is 4.739 x 10⁶

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

If 39% of the town's 36,000 voters cast ballots the number of votes cast is:

(\( \frac{39}{100} \)) x 36,000 = \( \frac{1,404,000}{100} \) = 14,040

The mayor got 60% of the votes cast which is:

(\( \frac{60}{100} \)) x 14,040 = \( \frac{842,400}{100} \) = 8,424 votes.

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{11 + 7 + 10 + 8}{4} \) = \( \frac{36}{4} \) = 9