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.

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

If the tiger has consumed 36 pounds of food in 6 days that's \( \frac{36}{6} \) = 6 pounds of food per day. The tiger needs to consume 72 - 36 = 36 more pounds of food to reach 72 pounds total. At 6 pounds of food per day that's \( \frac{36}{6} \) = 6 more days.

To add these radicals together their radicands must be the same:

6\( \sqrt{48} \) + 2\( \sqrt{3} \)
6\( \sqrt{16 \times 3} \) + 2\( \sqrt{3} \)
6\( \sqrt{4^2 \times 3} \) + 2\( \sqrt{3} \)
(6)(4)\( \sqrt{3} \) + 2\( \sqrt{3} \)
24\( \sqrt{3} \) + 2\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

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.