Place Value Fluency
What digit is in the hundreds place in the number 4,372?
3
Round 234 to the nearest ten.
230
Solve: 256+143.
256+143=399
Calculate: 6 × 10.
60
Sophia has 3 hundreds, 4 tens, and 7 ones. How many total ones does she have?
347 ones (3 hundreds = 300, 4 tens = 40, 7 ones = 7; total 300 + 40 + 7)
Write the number with digits: 7 thousands, 3 hundreds, 5 tens, and 9 ones.
7,359
Round 378 to the nearest hundred.
400
Solve using place-value strategies: 705−389. (Show a quick strategy or steps.)
705−389=316 (e.g., subtract 300 → 405, then add 11 → 316 OR use borrowing)
Calculate: 9 × 40 and explain using place value.
360 (because 9 × 4 = 36, then multiply by 10)
A toy costs $46. If Nina has $100, how much change will she get after buying one toy?
100 − 46 = 54
What is the value of the digit 6 in the number 6,108?
600 (the 6 represents 600)
Estimate the sum of 487+129 by rounding each to the nearest hundred, then add.
Round 487→500 and 129→100; estimate 600
Add: 1,208 + 3,406.
1,208 + 3,406 = 4,614
Calculate: 7 × 80 using a place-value strategy (show steps).
560 (since 7 × 8 = 56, then multiply by 10)
A school collected 1,250 pencils in January and 875 pencils in February. How many pencils did they collect in total? Use estimation first (round to nearest hundred), then compute the exact total.
Estimate: 1,200 + 900 = 2,100; exact: 1,250 + 875 = 2,125
Use place value to order these numbers from least to greatest: 3,509; 3,590; 3,059.
Least to greatest: 3,059, 3,509, 3,590
A book has 1,245 pages (many copies). Round 1,245 to the nearest thousand and explain why that rounded number is reasonable for estimating many books.
1,000 (since 1,245 rounded to the nearest thousand is 1,000) — reasonable because 1,245 is closer to 1,000 than 2,000
Subtract: 5,000 − 2,478 using place-value reasoning (no standard algorithm required, explain steps).
5,000 − 2,478 = 2,522
Without multiplying directly, explain why 5 × 60 = 300 using place-value reasoning, then compute 5 × 600.
5 × 60 = 300; 5 × 600 = 3,000
Jacob had 4,000 points in a game. He lost 1,687 points and then earned 543 points. What is his final score? (Show the steps using place-value strategies.)
4,000 − 1,687 = 2,313; 2,313 + 543 = 2,856
Write 4,206 in expanded form.
4,000+200+0+6
Without calculating exactly, use rounding to estimate the difference: 6,842−1,379. Show the rounded numbers you used and the estimated result.
Round 6,842→6,800 and 1,379→1,400; estimate 6,800−1,400=5,400
Solve and show a place-value strategy: 2,999 + 6,007.
2,999 + 6,007 = 9,006 (add 2,999 + 6,001 = 8, ... better to compute directly: 2,999+6,007=9,006)
Solve: 12 × 30 by breaking apart the multiplication into place-value friendly steps.
12 × 30 = 360 (because 12 × 3 = 36, then multiply by 10)
A factory packages items in boxes of 10. If they need to pack 3,476 items, how many full boxes will they fill and how many items will be left unpacked? (Explain using division by 10 and place-value reasoning.)
Full boxes: 347 boxes (because 3,476 ÷ 10=347 remainder 6); left unpacked: 6 items