SOLUTION: Please help solve these equation: Perform the operations. (a) 4 + [(20 ÷ 4) × 2] + [(2 × 12) ÷ 4] (b) [(4 + 20) ÷ (4 × 2)] + [(2 × 12) ÷ 4]

Algebra ->  Exponents -> SOLUTION: Please help solve these equation: Perform the operations. (a) 4 + [(20 ÷ 4) × 2] + [(2 × 12) ÷ 4] (b) [(4 + 20) ÷ (4 × 2)] + [(2 × 12) ÷ 4]       Log On


   



Question 768986: Please help solve these equation: Perform the operations.
(a) 4 + [(20 ÷ 4) × 2] + [(2 × 12) ÷ 4]

(b) [(4 + 20) ÷ (4 × 2)] + [(2 × 12) ÷ 4]

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

1. Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
2. Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
3.Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
4. Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

(a)
4+%2B+%28%2820+%3A+4%29+%2A+2%29+%2B+%28%282+%2A+12%29+%3A+4%29

=4+%2B+%285+%2A+2%29+%2B+%2824+%3A+4%29
=4+%2B+10+%2B+6
=20
(b)

%28%284+%2B+20%29+%3A+%284%2A2%29%29+%2B+%28%282+%2A+12%29+%3A+4%29
=%2824+%3A+8%29+%2B+%2824+%3A+4%29
=3+%2B+6
=9