A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

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:

4,894,000 in scientific notation is 4.894 x 10⁶

By buying two shirts, Roger will save $29 x \( \frac{45}{100} \) = \( \frac{$29 x 45}{100} \) = \( \frac{$1305}{100} \) = $13.05 on the second shirt.

So, his total cost will be
$29.00 + ($29.00 - $13.05)
$29.00 + $15.95
$44.95

If 30% of the town's 50,000 voters cast ballots the number of votes cast is:

(\( \frac{30}{100} \)) x 50,000 = \( \frac{1,500,000}{100} \) = 15,000

The mayor got 75% of the votes cast which is:

(\( \frac{75}{100} \)) x 15,000 = \( \frac{1,125,000}{100} \) = 11,250 votes.