Numbers to ten million · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Rounding and ordering numbers to ten million

Mathematics · Number Representation & Place Value · ages 10-11
Name ______________________   Date ____________
  1. Round 9,960,000 to the nearest 100,000.

    Answer: ______________

  2. Which digit decides whether 6,318,700 rounds up or down to the nearest million?

    • 6
    • 1
    • 3
    • 8
  3. What is 7,328,600 rounded to the nearest million?

    • 7,300,000
    • 8,000,000
    • 7,000,000
  4. When rounding to the nearest 100,000, 345,000 rounds to 300,000.

    Circle one:   True   False

  5. Two events recorded 627,000 and 284,000 visits. Round each to the nearest 100,000, then estimate how many more visits the first event had.

    Answer: ______________

  6. Three events had attendances of 152,000, 268,000, and 341,000. Round each to the nearest 100,000 and add them. What is the estimated total?

    Answer: ______________

  7. Two sensors are at -7,000 m and -2,500 m. Which calculation gives their vertical gap?

    • 7,000 - 2,500 = 4,500 m
    • 7,000 + 2,500 = 9,500 m
    • 7,000 - 2,500 = -4,500 m
    • 7,000 + 2,500 = -9,500 m
  8. Leo rounds each of 172,400, 283,600 and 336,100 to the nearest 100,000 and adds them. He says his estimate is larger than the exact total. Is he right?

    Circle one:   True   False

  9. Mia rounds 4,500,000 to the nearest million. She chooses 4,000,000 because she thinks a deciding digit of 5 rounds down. What should the rounded number be?

    400000045000005000000
    • 4,000,000, rounding down
    • 4,500,000, keeping it
    • 5,000,000, rounding up
  10. Estimate 4 × 687,000 by first rounding 687,000 to the nearest 100,000. What estimate do you get?

    • 2,400,000
    • 2,800,000
    • 2,748,000
    • 3,200,000
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Answer key

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

Rounding and ordering numbers to ten million W1-mt_XNmGwNggdU-s1

  1. 10000000 · The ten-thousands digit is 6, so increase 99 hundred thousands to 100 hundred thousands: 10,000,000.
  2. 3 · Check the digit immediately after the millions place. In 6,318,700, that digit is 3.
  3. 7,000,000 · The hundred-thousands digit is 3. Keep the 7 in the millions place and replace the remaining digits with zeros: 7,000,000.
  4. True · The ten-thousands digit is 4, which is less than 5, so 345,000 rounds down to 300,000.
  5. 300000 · 627,000 rounds to 600,000 and 284,000 rounds to 300,000. The estimated difference is 300,000 visits.
  6. 800000 · 152,000 rounds to 200,000, 268,000 rounds to 300,000, and 341,000 rounds to 300,000. Together: 800,000.
  7. 7,000 - 2,500 = 4,500 m · Both sensors are below zero. Subtract their distances below sea level: 7,000 - 2,500 = 4,500 m.
  8. True · The estimate is 800,000. The exact total is 792,100, so the estimate is larger.
  9. 5,000,000, rounding up · For this positive whole number, a deciding digit of 5 rounds up. The nearest million is 5,000,000.
  10. 2,800,000 · 687,000 rounds to 700,000. Four groups of 700,000 make 2,800,000.
Worksheet · LightMySky