Question

What is the value of the expression?
(6 + 18) : (3 x 4)
Use PEMDAS and explain why.

Answer 1

The value of the expression (6 + 18) : (3 x 4) is 2 when following the order of operations as prescribed by PEMDAS, which requires we first perform addition inside the parentheses to get 24, then multiplication inside parentheses to get 12, and finally we divide the results to obtain 2.

Step-by-step explanation:

The student wants to know the value of the expression (6 + 18) : (3 x 4) using PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This rule dictates the order in which operations should be performed.

First, we perform the operations inside the parentheses:
(6 + 18) becomes 24,
and then we calculate the expression inside the other set of parentheses:
(3 x 4) becomes 12.

Now, we have 24 divided by 12, which is:
24 : 12 = 2.

Therefore, the value of the expression (6 + 18) : (3 x 4) is 2.