Write each of the following decimals into expanded form :
16.74

Answer

To write the decimal 16.74 in expanded form, we can break it down based on the place value of each digit. Here’s how to do it step by step:

### Step 1: Identify the place values
- The number is 16.74.
- The digit '1' is in the tens place.
- The digit '6' is in the units place (or ones place).
- The digit '7' is in the tenths place (1/10).
- The digit '4' is in the hundredths place (1/100).

### Step 2: Write each digit with its place value
- The digit '1' in the tens place can be written as \(1 \times 10\).
- The digit '6' in the units place can be written as \(6 \times 1\).
- The digit '7' in the tenths place can be written as \(7 \times \frac{1}{10}\).
- The digit '4' in the hundredths place can be written as \(4 \times \frac{1}{100}\).

### Step 3: Combine all the parts
Now, we can combine all these parts to write the expanded form of the decimal:
\[ 16.74 = (1 \times 10) + (6 \times 1) + (7 \times \frac{1}{10}) + (4 \times \frac{1}{100}) \]

### Final Expanded Form
Thus, the expanded form of 16.74 is:
\[ 16.74 = 1 \times 10 + 6 \times 1 + 7 \times \frac{1}{10} + 4 \times \frac{1}{100} \]

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