If ` xx ` stands for addition, `div` stands for subtraction, + stands for multiplication and - stands for division, then what is the value of ` 20 xx 8 div 8 - 4 + 2 ` ?

Options

A. 24
B. 1
C. 20
D. 0

Answer

To solve the expression `20 xx 8 div 8 - 4 + 2` using the given operations, we need to first replace the symbols with their corresponding mathematical operations as defined in the question:

1. `xx` stands for addition (+)
2. `div` stands for subtraction (-)
3. `+` stands for multiplication (×)
4. `-` stands for division (÷)

Now, let's rewrite the expression:

- `20 xx 8` becomes `20 + 8`
- `div 8` becomes `- 8`
- `- 4` becomes `÷ 4`
- `+ 2` becomes `× 2`

So, the expression `20 xx 8 div 8 - 4 + 2` translates to:

\[ 20 + 8 - 8 ÷ 4 × 2 \]

Next, we need to follow the order of operations (BODMAS/BIDMAS):

1. **Division and Multiplication** (from left to right)
2. **Addition and Subtraction** (from left to right)

Let's calculate step by step:

### Step 1: Calculate the division
First, we perform the division:

\[ - 8 ÷ 4 = -2 \]

Now, substituting back into the expression:

\[ 20 + 8 - 2 × 2 \]

### Step 2: Calculate the multiplication
Next, we perform the multiplication:

\[ -2 × 2 = -4 \]

Now, substituting back into the expression:

\[ 20 + 8 - 4 \]

### Step 3: Calculate the addition and subtraction
Now, we perform the addition and subtraction from left to right:

1. First, add:
\[ 20 + 8 = 28 \]

2. Then, subtract:
\[ 28 - 4 = 24 \]

Thus, the final value of the expression `20 xx 8 div 8 - 4 + 2` is:

\[ \boxed{24} \]