Write the following in expanded form.
23400

Answer

To write the number 23,400 in expanded form, we break it down according to the value of each digit based on its position. Here’s how to do it step by step:

### Step 1: Identify the place values of each digit
The number 23,400 has the following digits and their respective place values:
- 2 is in the ten-thousands place
- 3 is in the thousands place
- 4 is in the hundreds place
- 0 is in the tens place
- 0 is in the units place

### Step 2: Write each digit multiplied by its place value
Now, we will express each digit in terms of its place value:
- The digit 2 in the ten-thousands place is \(2 \times 10,000\)
- The digit 3 in the thousands place is \(3 \times 1,000\)
- The digit 4 in the hundreds place is \(4 \times 100\)
- The digit 0 in the tens place is \(0 \times 10\)
- The digit 0 in the units place is \(0 \times 1\)

### Step 3: Combine all the terms
Now, we can combine these terms to write the expanded form:
\[ 23,400 = (2 \times 10,000) + (3 \times 1,000) + (4 \times 100) + (0 \times 10) + (0 \times 1) \]

### Step 4: Simplify the expression
Since multiplying by zero gives us zero, we can ignore the terms with 0:
\[ 23,400 = 20,000 + 3,000 + 400 \]

### Final Expanded Form
Thus, the expanded form of 23,400 is:
\[ 23,400 = 20,000 + 3,000 + 400 \]

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