lesson activity practice/drill 1. simplify the following numerical expressions. 1. $4 + 3 \times 2 = \underline{\quad\quad}$ 2. $7 - (2 \times 3)^2 = \underline{\quad\quad}$ 3. $24 + 8 \div (3 + 1) = \underline{\quad\quad}$ 4. $(6 + 2) \times 3 - 25 = \underline{\quad\quad}$ 5. $10 - 2 \times (4 - 1) = \underline{\quad\quad}$ 6. $3^2 + (4 \div 2) = \underline{\quad\quad}$ 7. $15 \div (2 + 1) - 4^2 = \underline{\quad\quad}$ 8. $2 \times (7 - 3) + 5^0 = \underline{\quad\quad}$ 9. $12 - 2 \times (3^2 - 1) = \underline{\quad\quad}$ 10. $(8 + 2)^2 \div 5 - 21 = \underline{\quad\quad}$

Question

Accepted Answer

Let's solve each numerical expression one by one using the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

### 1. $ 4 + 3 \times 2 $
# Explanation:
## Step1: Perform multiplication first.
$ 3 \times 2 = 6 $
## Step2: Then perform addition.
$ 4 + 6 = 10 $
# Answer:
$ 10 $

### 2. $ 7 - (2 \times 3)^2 $
# Explanation:
## Step1: Calculate inside the parentheses first.
$ 2 \times 3 = 6 $
## Step2: Then apply the exponent.
$ 6^2 = 36 $
## Step3: Finally, perform subtraction.
$ 7 - 36 = -29 $
# Answer:
$ -29 $

### 3. $ 24 + 8 \div (3 + 1) $
# Explanation:
## Step1: Calculate inside the parentheses.
$ 3 + 1 = 4 $
## Step2: Perform division.
$ 8 \div 4 = 2 $
## Step3: Perform addition.
$ 24 + 2 = 26 $
# Answer:
$ 26 $

### 4. $ (6 + 2) \times 3 - 25 $
# Explanation:
## Step1: Calculate inside the parentheses.
$ 6 + 2 = 8 $
## Step2: Perform multiplication.
$ 8 \times 3 = 24 $
## Step3: Perform subtraction.
$ 24 - 25 = -1 $
# Answer:
$ -1 $

### 5. $ 10 - 2 \times (4 - 1) $
# Explanation:
## Step1: Calculate inside the parentheses.
$ 4 - 1 = 3 $
## Step2: Perform multiplication.
$ 2 \times 3 = 6 $
## Step3: Perform subtraction.
$ 10 - 6 = 4 $
# Answer:
$ 4 $

### 6. $ 3^2 + (4 \div 2) $
# Explanation:
## Step1: Calculate the exponent and inside the parentheses.
$ 3^2 = 9 $, $ 4 \div 2 = 2 $
## Step2: Perform addition.
$ 9 + 2 = 11 $
# Answer:
$ 11 $

### 7. $ 15 \div (2 + 1) - 4^2 $
# Explanation:
## Step1: Calculate inside the parentheses and the exponent.
$ 2 + 1 = 3 $, $ 4^2 = 16 $
## Step2: Perform division.
$ 15 \div 3 = 5 $
## Step3: Perform subtraction.
$ 5 - 16 = -11 $
# Answer:
$ -11 $

### 8. $ 2 \times (7 - 3) + 5^0 $
# Explanation:
## Step1: Calculate inside the parentheses and the exponent (note: $ a^0 = 1 $ for $ a
eq 0 $).
$ 7 - 3 = 4 $, $ 5^0 = 1 $
## Step2: Perform multiplication.
$ 2 \times 4 = 8 $
## Step3: Perform addition.
$ 8 + 1 = 9 $
# Answer:
$ 9 $

### 9. $ 12 - 2 \times (3^2 - 1) $
# Explanation:
## Step1: Calculate inside the parentheses (exponent first).
$ 3^2 = 9 $, $ 9 - 1 = 8 $
## Step2: Perform multiplication.
$ 2 \times 8 = 16 $
## Step3: Perform subtraction.
$ 12 - 16 = -4 $
# Answer:
$ -4 $

### 10. $ (8 + 2)^2 \div 5 - 21 $
# Explanation:
## Step1: Calculate inside the parentheses.
$ 8 + 2 = 10 $
## Step2: Apply the exponent.
$ 10^2 = 100 $
## Step3: Perform division.
$ 100 \div 5 = 20 $
## Step4: Perform subtraction.
$ 20 - 21 = -1 $
# Answer:
$ -1 $

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QUESTION IMAGE

Question

Explanation:

1. \( 4 + 3 \times 2 \)

Step1: Perform multiplication first.

Step2: Then perform addition.

Step1: Calculate inside the parentheses first.

Step2: Then apply the exponent.

Step3: Finally, perform subtraction.

Step1: Calculate inside the parentheses.

Step2: Perform division.

Step3: Perform addition.

Answer:

2. \( 7 - (2 \times 3)^2 \)