Place Value Problem-Solving · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Solving Problems with Place Value

Mathematics · Number Representation & Place Value · ages 8-9
Name ______________________   Date ____________

  1. A town has 6,400 people and a village has 4,900. Which place has more people?

    • The village
    • Both have the same
    • The town
    • You cannot tell from this

  2. Which number is the greatest?

    • 8,697
    • 8,976
    • 8,769
    • 8,967

  3. Which number is bigger: 4,582 or 4,528?

    • 4,582
    • 4,528
    • They are equal

  4. Which city has more people: City A with 12,430 people, or City B with 12,340?

    • City B
    • Same
    • City A

  5. Hana says 7,302 is greater than 7,320 because 2 ones beat 0 ones. Is Hana right?

    Circle one:   True   False

  6. River Amber is 2,480 km long. River Blue is 2,750 km long. Which river is longer?

    • River Amber
    • River Blue
    • Same length

  7. Put in order from smallest: 5,505, 5,055, 5,550.

    • 5,550, 5,505, 5,055
    • 5,505, 5,055, 5,550
    • 5,055, 5,550, 5,505
    • 5,055, 5,505, 5,550

  8. What is 9,999 rounded to the nearest thousand?

    Answer: ______________

  9. Tom compared 6,381 and 6,318 by only looking at the last digit (1 vs 8) and said 6,318 is bigger. What mistake did he make?

    • He forgot one of the numbers had a thousands digit
    • He was right, comparing last digits always works
    • He compared digits starting from the ones place instead of the highest place value

  10. Kit says any 5-digit number is greater than any 4-digit number. Is Kit right?

    Circle one:   True   False

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Solving Problems with Place Value W1-mt__sMrmOv3bx-s1

  1. The town · Compare thousands first: 6 thousands beats 4 thousands, so the town has more people.
  2. 8,976 · 8,976 is greatest: thousands are all 8, hundreds run 6, 9, 7, 9 so 8,697 drops out, and of the rest tens 7 beats 6.
  3. 4,582 · The thousands and hundreds digits match. Compare the tens digit: 8 is bigger than 2, so 4,582 wins.
  4. City A · The thousands digits match. City A has 4 hundreds and City B has 3, so City A has more people.
  5. False · Hana is wrong: tens outrank ones, and 2 tens beat 0 tens, so 7,320 is greater.
  6. River Blue · The thousands digits match. Compare hundreds: 4 for Amber, 7 for Blue. Blue's hundreds digit is bigger, so Blue is longer.
  7. 5,055, 5,505, 5,550 · 5,055, 5,505, 5,550 is right: compare hundreds 0, 5, 5, then tens 0 against 5.
  8. 10000 · 9,999 rounds up to 10,000.
  9. He compared digits starting from the ones place instead of the highest place value · Always compare from the highest place value first. The tens digit, 8 versus 1, decides it: 6,381 is actually bigger.
  10. True · Kit is right: ten thousands outrank thousands, so 10,000 beats 9,999.
Worksheet · LightMySky