You have 2 out of the total of 50 raffle tickets sold so you have a (\( \frac{2}{50} \)) x 100 = \( \frac{2 \times 100}{50} \) = \( \frac{200}{50} \) = 5% chance to win the raffle.

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:

9,026,000 in scientific notation is 9.026 x 10⁶

If 40% of the town's 16,000 voters cast ballots the number of votes cast is:

(\( \frac{40}{100} \)) x 16,000 = \( \frac{640,000}{100} \) = 6,400

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

(\( \frac{60}{100} \)) x 6,400 = \( \frac{384,000}{100} \) = 3,840 votes.

To add these radicals together their radicands must be the same:

5\( \sqrt{32} \) + 2\( \sqrt{2} \)
5\( \sqrt{16 \times 2} \) + 2\( \sqrt{2} \)
5\( \sqrt{4^2 \times 2} \) + 2\( \sqrt{2} \)
(5)(4)\( \sqrt{2} \) + 2\( \sqrt{2} \)
20\( \sqrt{2} \) + 2\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.