Classify the following as 'arithmetic expressions' or 'algebraic expressions'.
`3+7xx15`

Answer

To classify the expression `3 + 7 x 15` as either an arithmetic expression or an algebraic expression, we can follow these steps:

### Step 1: Identify the components of the expression
The expression `3 + 7 x 15` consists of numbers and arithmetic operations (addition and multiplication).

### Step 2: Understand the definitions
- **Arithmetic Expression**: An arithmetic expression is a combination of numbers and operations (like addition, subtraction, multiplication, and division) that results in a numeric value after calculation.
- **Algebraic Expression**: An algebraic expression includes variables (like x, y, etc.) along with constants and operations. It does not necessarily simplify to a single numeric value.

### Step 3: Analyze the given expression
In the expression `3 + 7 x 15`, there are no variables present. It only contains numbers and operations.

### Step 4: Simplify the expression
We can simplify the expression to see if it results in a numeric value:
1. First, perform the multiplication:
- `7 x 15 = 105`
2. Then, perform the addition:
- `3 + 105 = 108`

### Step 5: Classify the expression
Since the expression simplifies to a numeric value (108) and contains no variables, it is classified as an **arithmetic expression**.

### Final Answer
The expression `3 + 7 x 15` is an **arithmetic expression**.

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