Apply the rules for order of operations to simplify 2 + 3 − 4 + (5 × 4).

Question

Question 7 options:

A)

24

B)

22

C)

9

D)

21

Answer 1

To simplify the expression \(2 + 3 - 4 + (5 \times 4)\), we apply the order of operations (PEMDAS/BODMAS):

1. Parentheses: Calculate the expression inside the parentheses first. \[ 5 \times 4 = 20 \]

2. Rewrite the expression: Substitute the product back into the expression: \[ 2 + 3 - 4 + 20 \]

3. Addition and subtraction: Now, perform the operations from left to right:

   • First, add \(2 + 3\): \[ 2 + 3 = 5 \]

   • Next, subtract \(4\) from \(5\): \[ 5 - 4 = 1 \]

   • Finally, add \(20\) to \(1\): \[ 1 + 20 = 21 \]

Thus, the simplified expression is \(21\).

The correct answer is D) 21.