What are some common misconceptions about place value in mathematics?

Here are 5 common misconceptions about place value:

1. Confusing the value of a digit with its face value: Students might think the '2' in 23 means two, instead of two tens or twenty. They don't understand that the position changes its actual value.
2. Reading numbers as separate digits: For example, reading 345 as "three, four, five" instead of "three hundred forty-five." This shows a lack of understanding that digits combine to form larger values based on their position.
3. Difficulty with zero as a placeholder: Students may ignore zeros or not understand their role in maintaining the place value of other digits. For instance, they might write 25 for two hundred five.
4. Misunderstanding decimal place value: Extending whole number rules to decimals incorrectly, such as thinking 0.5 is larger than 0.25 because 5 is larger than 25, or believing that more digits after the decimal point always means a larger number.
5. Inability to regroup or bundle: When performing operations, students might struggle with carrying over or borrowing because they don't grasp that 10 ones make 1 ten, or 10 tens make 1 hundred.