Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (5 + 3) ÷ 2 x 4 - 2²
P: 2 + (8) ÷ 2 x 4 - 2²
E: 2 + 8 ÷ 2 x 4 - 4
MD: 2 + \( \frac{8}{2} \) x 4 - 4
MD: 2 + \( \frac{32}{2} \) - 4
AS: \( \frac{4}{2} \) + \( \frac{32}{2} \) - 4
AS: \( \frac{36}{2} \) - 4
AS: \( \frac{36 - 8}{2} \)
\( \frac{28}{2} \)
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The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

A ratio of 5:1 means that there are 5 home fans for every one visiting fan. So, of every 6 fans, 5 are home fans and \( \frac{5}{6} \) of every fan in the stadium is a home fan:

43,000 fans x \( \frac{5}{6} \) = \( \frac{215000}{6} \) = 35,833 fans.

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.