Evaluate the expression:
44 + 5 x (4 to the power of 2 ÷ 8).
To evaluate the expression, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
The expression inside the parentheses is 4 to the power of 2 ÷ 8. First, we simplify the exponent: 4 squared is 4 x 4 = 16. Then, we divide the result by 8: 16 ÷ 8 = 2.
Now, we can substitute the simplified expression back into the original expression:
44 + 5 x 2
Next, we perform the multiplication:
44 + 10
Finally, we perform the addition:
54
Therefore, the evaluated expression is equal to 54.
To evaluate the expression 44 + 5 x (4^2 ÷ 8), follow the order of operations, which is often remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).
First, start with the exponent: 4^2 = 16.
Next, divide 16 by 8: 16 ÷ 8 = 2.
Now, multiply 5 by 2: 5 x 2 = 10.
Finally, add 44 and 10: 44 + 10 = 54.
Therefore, the expression 44 + 5 x (4^2 ÷ 8) evaluates to 54.