What is the answer to this? (2+3)+3^2-4(2)/2+1 Two plus three plus three squared minus four times two divided by two plus one

May 14, 2017

Answer: $11$

Explanation:

Evaluate $\left(2 + 3\right) + {3}^{2} - \frac{4 \cdot 2}{2} + 1$

Consider the acronym PEMDAS:

Parentheses
Exponents

Multiplication
Division

Subtraction

Using the order of operations, we begin with parentheses and exponents from left to right:
$\left(2 + 3\right) + {3}^{2} - \frac{4 \cdot 2}{2} + 1$
$= 5 + 9 - \frac{8}{2} + 1$

Now, we move onto multiplication and division from left to right:
$= 5 + 9 - 4 + 1$

Finally, we can do the addition and subtraction:
$= 14 - 4 + 1$
$= 10 + 1$
$= 11$