Question

Use the order of operations to simplify 8 + 7 x 6 - 3 x 4 + 6 x 7
120
80
2478
36


Use the order of operations to simplify: 12 - 2^3 + 4 divided by 2 + 2^4
20
24
14
22

According to the order of operations, which step should be completed first in the following expression: 6 - 3 x 1^18 divided by 2 x 4 + 8

Division
Multiplication
Exponent
Subtraction


Use PEMDAS to simplify: 72 divided by 12 + 26 - 8 x 3
56
72
8
-10


Use the order of operations to simplify: 6/3 + 4 divided by 2 + 4/4
2
6
5
4

Answer 1

Let's simplify each expression step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### 1. Simplifying: 8 + 7 x 6 - 3 x 4 + 6 x 7
- First, perform the multiplications:
- \(7 \times 6 = 42\)
- \(3 \times 4 = 12\)
- \(6 \times 7 = 42\)

Now the expression becomes:
- \(8 + 42 - 12 + 42\)

Next, perform addition and subtraction from left to right:
- \(8 + 42 = 50\)
- \(50 - 12 = 38\)
- \(38 + 42 = 80\)

**Final Result: 80**

### 2. Simplifying: 12 - 2^3 + 4 divided by 2 + 2^4
- First, calculate the exponents:
- \(2^3 = 8\)
- \(2^4 = 16\)

Now the expression becomes:
- \(12 - 8 + 4 \div 2 + 16\)

Next, perform the division:
- \(4 \div 2 = 2\)

Now, the expression is:
- \(12 - 8 + 2 + 16\)

Next, perform addition and subtraction from left to right:
- \(12 - 8 = 4\)
- \(4 + 2 = 6\)
- \(6 + 16 = 22\)

**Final Result: 22**

### 3. According to the order of operations, which step should be completed first in the following expression: 6 - 3 x 1^18 divided by 2 x 4 + 8
- Evaluate the exponents first (\(1^{18}\)):
- \(1^{18} = 1\)

So, the expression becomes:
- \(6 - 3 \times 1 \div 2 \times 4 + 8\)

Now the first operation according to PEMDAS is multiplication. So the correct answer is:

**Answer: Multiplication**

### 4. Simplifying: 72 divided by 12 + 26 - 8 x 3
- First, perform the division and multiplication:
- \(72 \div 12 = 6\)
- \(8 \times 3 = 24\)

Now the expression becomes:
- \(6 + 26 - 24\)

Next, perform addition and subtraction from left to right:
- \(6 + 26 = 32\)
- \(32 - 24 = 8\)

**Final Result: 8**

### 5. Simplifying: 6/3 + 4 divided by 2 + 4/4
- First, perform the divisions:
- \(6 \div 3 = 2\)
- \(4 \div 2 = 2\)
- \(4 \div 4 = 1\)

Now the expression becomes:
- \(2 + 2 + 1\)

Next, perform addition:
- \(2 + 2 = 4\)
- \(4 + 1 = 5\)

**Final Result: 5**

In summary, the answers are:
1. **80**
2. **22**
3. **Multiplication**
4. **8**
5. **5**