What is the value of the expression \(\frac{5 + (20 - 8)}{3} + 6\)?
Answer (2)
When evaluating the expression 5+(20-8) divided by 3 +6, it's important to follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's solve the expression step-by-step:
Calculate the operation within the parentheses (20-8) which equals 12.
Divide the result by 3, which gives us 4.
Add the initial 5 to the quotient of step 2, which results in 9.
Lastly, add 6 to the result of step 3, which brings us to a final result of 15.
Thus, the value of the expression is 15.
The value of the expression 3 5 + ( 20 − 8 ) + 6 is approximately 11.67 . This is determined through the order of operations (PEMDAS) by first simplifying within the parentheses, then performing addition, division, and finally another addition. Following these steps ensures the correct evaluation of the expression.
;
