Question

Using the order of operations, what are the steps for solving this expression? 8 × 3 ÷ (4^2 - 13) + 5^2 + 4 × 3 Arrange the steps in the order in which they are performed.

(6-13)
(8-3)
(33+12)
(4x3)
(8+5)
(4^)
(24/3)
(5^)

Answer 1

To solve the expression 8 × 3 ÷ (4^2 - 13) + 5^2 + 4 × 3 using the order of operations, perform the calculations step by step. Simplify the expression within the parentheses, perform the multiplication and division, and then perform the addition and subtraction.

Step-by-step explanation:

1. Step 1: Simplify the expression within the parentheses first. In this case, it is (4^2 - 13), which becomes (16 - 13) = 3.
2. Step 2: Perform the multiplication and division from left to right. Start with 8 × 3 ÷ 3 = 24.
3. Step 3: Perform the addition and subtraction from left to right. Continue with 24 + 5^2 = 24 + 25 = 49.
4. Step 4: Finally, perform the remaining multiplication. Calculate 49 + 4 × 3 = 49 + 12 = 61.

Answer 2

Step-by-step explanation:

These are the evaluation steps in order.

(4^2) exponentiation inside parentheses will be performed first

(16-13) contents of parentheses are evaluated next

(5^2) exponentiation outside parentheses is done before any multiplication or division

(8×3) multiplication and division are performed left to right

(24/3) multiplication and division are performed left to right

(4x3) multiplication and division are performed left to right

(8+25) after all the multiplication and division, addition is performed left to right

(33+12) addition is performed left to right