An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

The amount of flour you need is (2\(\frac{1}{2}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{20}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{8}{8} \) cups
1 cups

If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 144 - 72 = 72 more pounds of food to reach 144 pounds total. At 12 pounds of food per day that's \( \frac{72}{12} \) = 6 more days.

If a single cook can bake 5 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 5 x 3 = 15 large cakes during that time. 23 large cakes are needed for the party so \( \frac{23}{15} \) = 1\(\frac{8}{15}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 10 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 10 x 3 = 30 small cakes during that time. 500 small cakes are needed for the party so \( \frac{500}{30} \) = 16\(\frac{2}{3}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 2 + 17 = 19 cooks.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

4c⁷ + 6c⁷
(4 + 6)c⁷
10c⁷