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.

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.

If the tiger has consumed 120 pounds of food in 8 days that's \( \frac{120}{8} \) = 15 pounds of food per day. The tiger needs to consume 210 - 120 = 90 more pounds of food to reach 210 pounds total. At 15 pounds of food per day that's \( \frac{90}{15} \) = 6 more days.

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.

The amount of flour you need is (3\(\frac{3}{8}\) - 1) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{27}{8} \) - \( \frac{8}{8} \)) cups
\( \frac{19}{8} \) cups
2\(\frac{3}{8}\) cups