The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{6 x 5}{8 x 5} \) + \( \frac{9 x 4}{10 x 4} \)

\( \frac{30}{40} \) + \( \frac{36}{40} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{30 + 36}{40} \) = \( \frac{66}{40} \) = 1\(\frac{13}{20}\)

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

\( \frac{16 + 8 + 14 + 10}{4} \) = \( \frac{48}{4} \) = 12

The amount of flour you need is (1\(\frac{7}{8}\) - 1\(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{15}{8} \) - \( \frac{13}{8} \)) cups
\( \frac{2}{8} \) cups
\(\frac{1}{4}\) cups