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3-Digit Place Value Practice
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Try these before or after you print the worksheet. A digit's value depends on where it sits: the same 3 is worth 300 in the hundreds place, 30 in the tens and 3 in the ones.
Question 1
In 869, what is the 6 worth?
60. The 6 sits in the tens place, so it is worth six tens. The digit is 6 but its value is 60 — that difference is the whole topic.
Question 2
In 235 the 3 is worth 30. In 357, what is the 3 worth?
300. Same digit, different place. In 235 the 3 is in the tens; in 357 it has moved to the hundreds, so it is worth ten times as much.
Question 3
In 270, what is the underlined 0 worth?
0. A zero in the ones place is worth nothing at all — but it is not useless. Without it, 270 would be 27. The zero is holding the place open.
Question 4
Write 738 in expanded form.
700 + 30 + 8 = 738. Each digit keeps the value of its place. Writing 7 + 3 + 8 adds the digits instead of their values, which comes to 18.
Question 5
Which number has 3 hundreds, 5 tens and 9 ones?
359. Hundreds first, then tens, then ones — in that order. 3059 is what you get by writing the words down as numerals without thinking about places.
Question 6 — select all that apply
Select every number with 3 hundreds, then press Check.
357, 356. Only the first digit tells you the hundreds. 132 and 153 both contain a 3, but it is not in the hundreds place, so it is worth 30 and 3.
Question 7 — challenge
Fill in the gap: 500 + ▢ + 7 = 567
60. You already have the hundreds and the ones, so the gap is the tens. 567 has a 6 in the tens place, and six tens is 60 — not 6.
Think about it
The 3 in 357 is worth 300 and the 3 in 153 is worth 3. Why does moving a digit one place to the left make it worth ten times more?
In 270 the 0 is worth nothing. So why can you not just leave it out?
Which is greater, 624 or 642? Which place settles it?
What is the largest three-digit number you can make from the digits 4, 0 and 9? What is the smallest?