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.

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

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

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

9\( \sqrt{8} \) x 3\( \sqrt{6} \)
(9 x 3)\( \sqrt{8 \times 6} \)
27\( \sqrt{48} \)

Now we need to simplify the radical:

27\( \sqrt{48} \)
27\( \sqrt{3 \times 16} \)
27\( \sqrt{3 \times 4^2} \)
(27)(4)\( \sqrt{3} \)
108\( \sqrt{3} \)

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

\( \frac{3}{9} \) x \( \frac{1}{7} \) = \( \frac{3 x 1}{9 x 7} \) = \( \frac{3}{63} \) = \(\frac{1}{21}\)