use order of operations to simplify each of the following.
11. $4 - 7 + 9$
12. $-3 - 3 + (-5)$
13. $16 \div 2 \cdot (-4)$
14. $(3 \times 6) - 5$
15. $5 + 12 \div 2 - 4 + 3 \times 6$

Question

Accepted Answer

### Problem 11: $ 4 - 7 + 9 $
# Explanation:
## Step 1: Perform subtraction first
$ 4 - 7 = -3 $
## Step 2: Perform addition
$ -3 + 9 = 6 $
# Answer:
$ 6 $

### Problem 12: $ -3 - 3 + (-5) $
# Explanation:
## Step 1: Perform first subtraction
$ -3 - 3 = -6 $
## Step 2: Perform addition with negative number
$ -6 + (-5) = -11 $ (Adding two negative numbers: $ -6 - 5 = -11 $)
# Answer:
$ -11 $

### Problem 13: $ 16 \div 2 \cdot (-4) $
# Explanation:
## Step 1: Perform division
$ 16 \div 2 = 8 $
## Step 2: Perform multiplication
$ 8 \cdot (-4) = -32 $
# Answer:
$ -32 $

### Problem 14: $ (3 \times 6) - 5 $
# Explanation:
## Step 1: Perform operation inside parentheses
$ 3 \times 6 = 18 $
## Step 2: Perform subtraction
$ 18 - 5 = 13 $
# Answer:
$ 13 $

### Problem 15: $ 5 + 12 \div 2 - 4 + 3 \times 6 $
# Explanation:
## Step 1: Perform division and multiplication (from left to right)
$ 12 \div 2 = 6 $ and $ 3 \times 6 = 18 $
So the expression becomes $ 5 + 6 - 4 + 18 $
## Step 2: Perform addition and subtraction (from left to right)
First, $ 5 + 6 = 11 $
Then, $ 11 - 4 = 7 $
Finally, $ 7 + 18 = 25 $
# Answer:
$ 25 $

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QUESTION IMAGE

Question

Explanation:

Problem 11: \( 4 - 7 + 9 \)

Step 1: Perform subtraction first

Step 2: Perform addition

Step 1: Perform first subtraction

Step 2: Perform addition with negative number

Step 1: Perform division

Step 2: Perform multiplication

Answer:

Problem 12: \( -3 - 3 + (-5) \)