Grade 5 Base Ten Operations Practice — Hard

Question 1 of 31Score 0/0Hard

Question 1 of 31: Order from least to greatest: 1.3, 1.03, 1.300, 1.030

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Keep going: Read the lesson: Decimal Place Value to Thousandths Place Value Explorer Multiplication Grid
Answer key for parents & teachers (31 questions)
  1. Order from least to greatest: 1.3, 1.03, 1.300, 1.030 — 1.03, 1.030, 1.3, 1.300. 1.03 = 1.030 (same). 1.3 = 1.300 (same). 1.03 < 1.3, so the order is: 1.03, 1.030, 1.3, 1.300.
  2. Which decimal is equivalent to 6 and 5 thousandths? — 6.005. 5 thousandths = 0.005. Six and 5 thousandths = 6.005.
  3. Compare: 2.304 ___ 2.340 — <. Both have 2 ones. Tenths: both have 3. Hundredths: 0 vs 4. So 2.304 < 2.340.
  4. What is 0.1 × 0.1? — 0.01. 0.1 × 0.1: 1×1=1, 2 decimal places total → 0.01.
  5. Which digit is in the tenths place in 100.009? — 0. In 100.009: tenths=0, hundredths=0, thousandths=9. The tenths digit is 0.
  6. What decimal equals thirty-four thousandths? — 0.034. Thirty-four thousandths = 34/1000 = 0.034.
  7. In the number 7.263, which digit has the least value? — 3 (thousandths). In 7.263: 3 is in the thousandths place, which is the smallest place value listed. So 3 has the least value.
  8. What is the standard form of 4 + 0.3 + 0.02 + 0.005? — 4.325. 4 ones + 3 tenths + 2 hundredths + 5 thousandths = 4.325.
  9. A factory makes 3.25 kg of candy per hour. How many grams does it make in one hour? (1 kg = 1,000 g) — 3,250 g. 3.25 × 1,000 = 3,250 g. Shift 3 places left.
  10. Fill in: 47 ÷ ____ = 0.047 — 1,000. 0.047 is 3 places right of 47. Dividing by 10³ = 1,000 gives this shift.
  11. Which is equivalent to multiplying by 10,000? — Multiplying by 10⁴. 10,000 = 10⁴. Multiplying by 10⁴ shifts 4 places left.
  12. A stamp is 0.002 m thick. What is its thickness in millimeters? (1 m = 1,000 mm) — 2 mm. 0.002 × 1,000 = 2. Shift 3 places left: 2 mm.
  13. Jake divides 5.6 by 10 four times. What is the final answer? — 0.00056. Dividing by 10 four times = dividing by 10⁴. Shift 4 places right: 5.6 → 0.56 → 0.056 → 0.0056 → 0.00056.
  14. Which equation is FALSE? — 0.5 × 10 = 50. 0.5 × 10 = 5, not 50. Shifting one place left: 0.5 → 5. So "0.5 × 10 = 50" is false.
  15. If 25 × 10? = 25,000, what is the exponent? — 3. 25 × 1,000 = 25,000. 1,000 = 10³. The exponent is 3.
  16. What is 1.005 × 100? — 100.5. Shift 2 places left: 1.005 → 10.05 → 100.5.
  17. A school has 235 students in each of its 14 classrooms. How many students total? — 3,290. 235 × 4 = 940. 235 × 10 = 2,350. Add: 940 + 2,350 = 3,290.
  18. Which partial product is incorrect for 247 × 38? — 247 × 30 = 6,710 (should be 7,410). 247 × 30: 247 × 3 = 741, then × 10 = 7,410. So "247 × 30 = 6,710" is incorrect.
  19. What is 247 × 38? — 9,386. 247 × 8 = 1,976. 247 × 30 = 7,410. Add: 1,976 + 7,410 = 9,386.
  20. A farmer plants 125 seeds per row and has 48 rows. How many seeds total? — 6,000. 125 × 48: 125 × 8 = 1,000. 125 × 40 = 5,000. Add: 1,000 + 5,000 = 6,000.
  21. What is 999 × 9? — 8,991. 9×9=81 (write 1 carry 8), 9×9=81+8=89 (write 9 carry 8), 9×9=81+8=89 (write 89). Answer: 8,991.
  22. A concert hall has 38 rows with 125 seats each. What is the total seating capacity? — 4,750. 125 × 8 = 1,000. 125 × 30 = 3,750. Add: 1,000 + 3,750 = 4,750.
  23. What is 487 × 62? — 30,194. 487 × 2 = 974. 487 × 60 = 29,220. Add: 974 + 29,220 = 30,194.
  24. What is 2.4 × 1.52? — 3.648. 24 × 152 = 3,648. Three decimal places: 3.648.
  25. A ribbon is 6.4 m long and is cut into pieces of 0.8 m each. How many pieces? — 8. 6.4 ÷ 0.8 → 64 ÷ 8 = 8 pieces.
  26. Sam buys 3.5 kg of apples at $2.40 per kg. How much does he pay? — $8.40. 3.5 × 2.4: 35 × 24 = 840. Two decimal places: $8.40.
  27. What is 0.03 × 0.4? — 0.012. 3 × 4 = 12. Decimal places: 2+1 = 3. Answer: 0.012.
  28. Which expression uses the correct method for 4.8 ÷ 0.06? — 480 ÷ 6 = 80. Multiply both by 100: 4.8 × 100 = 480, 0.06 × 100 = 6. So 480 ÷ 6 = 80.
  29. What is the product of 0.12 × 0.5? — 0.06. 12 × 5 = 60. Decimal places: 2+1 = 3. Answer: 0.060 = 0.06.
  30. Anna earns $12.50 per hour and works 6.5 hours. What are her total earnings? — $81.25. 12.5 × 6.5: 125 × 65 = 8,125. Two decimal places: $81.25.
  31. Which is the correct product of 2.5 × 0.04? — 0.1. 25 × 4 = 100. Decimal places: 1+2 = 3. Answer: 0.100 = 0.1.