In the number 3,052, what does the digit 0 represent?
AZero tens — none of that unit, but the place is still held
BNothing — it can be removed to give 352
CZero ones
DA placeholder that makes the 3 worth more
The 0 sits in the tens position, meaning there are zero tens. Without it, 352 is a completely different number (three hundred fifty-two vs. three thousand fifty-two). The zero is not decorative — it pushes the 3 and 5 into the correct positions.
Question 2 True / False
The number 405 can be rewritten as 45 because the zero contributes no value.
TTrue
FFalse
Answer: False
The zero in 405 occupies the tens place. Removing it collapses the number to 45 (forty-five), which is entirely different from 405 (four hundred five). The zero means 'zero tens' — it contributes no quantity of its own, but it holds the place so the 4 remains in the hundreds position.
Question 3 Short Answer
Write 2,306 in expanded form.
Think about your answer, then reveal below.
Model answer: 2,000 + 300 + 6
Each digit is multiplied by the value of its position: 2 is in the thousands place (2,000), 3 is in the hundreds place (300), 0 is in the tens place (0 tens, so nothing added), and 6 is in the ones place (6). The expanded form makes the positional value of each digit explicit.