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 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).

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{7} \) x \( \frac{4}{7} \) = \( \frac{1 x 4}{7 x 7} \) = \( \frac{4}{49} \) = \(\frac{4}{49}\)

By buying two shirts, Ezra will save $50 x \( \frac{25}{100} \) = \( \frac{$50 x 25}{100} \) = \( \frac{$1250}{100} \) = $12.50 on the second shirt.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{40\sqrt{10}}{8\sqrt{5}} \)
\( \frac{40}{8} \) \( \sqrt{\frac{10}{5}} \)
5 \( \sqrt{2} \)