Grade 5 Base Ten Operations Practice

Question 1 of 42Score 0/0Medium

Question 1 of 42: Which is larger: 0.45 or 0.045?

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Keep going: Read the lesson: Decimal Place Value to Thousandths Place Value Explorer Multiplication Grid
Answer key for parents & teachers (42 questions)
  1. Which is larger: 0.45 or 0.045? — 0.45. 0.45 = 45 hundredths. 0.045 = 45 thousandths. 45 hundredths > 45 thousandths, so 0.45 > 0.045.
  2. What is the value of the digit 3 in 0.003? — 3 thousandths. Three places after the decimal is the thousandths place. So 3 in 0.003 = 3 thousandths.
  3. Write 0.6 + 0.04 + 0.007 as a single decimal. — 0.647. 6 tenths + 4 hundredths + 7 thousandths = 0.647.
  4. Each decimal place to the RIGHT is how many times smaller? — 10 times smaller. Each place to the right of the decimal is 10 times smaller than the place to its left.
  5. What number is 10 times greater than 0.04? — 0.4. Moving one place LEFT (10×): 0.04 × 10 = 0.4.
  6. How is 8.07 read aloud? — Eight and seven hundredths. The digit 7 is in the hundredths place. Read as "eight and seven hundredths."
  7. The digit 9 is in the _____ place in 4.019. — Thousandths. 4.019: tenths=0, hundredths=1, thousandths=9. The 9 is in the thousandths place.
  8. What is the total value of 5 hundredths + 3 thousandths? — 0.053. 5 hundredths = 0.05. 3 thousandths = 0.003. Sum = 0.053.
  9. A runner's time is 9.875 seconds. What is the value of the 8? — 8 tenths. In 9.875: tenths=8, hundredths=7, thousandths=5. The 8 is in the tenths place = 8 tenths.
  10. Ben says "3.50 is greater than 3.5 because it has more digits." Is he correct? — No, 3.50 = 3.5. Trailing zeros do not change a decimal's value. 3.50 = 3.5.
  11. What is 0.037 × 1,000? — 37. 1,000 = 10³: shift 3 places left. 0.037 → 0.37 → 3.7 → 37.
  12. What is 2.45 × 10²? — 245. Multiply by 10²: shift 2 places left. 2.45 → 24.5 → 245.
  13. How many places does the decimal shift when dividing by 10⁴? — 4 places to the right. Dividing by 10ⁿ shifts digits n places to the RIGHT. 10⁴ means 4 places right.
  14. What is 5,000 ÷ 10²? — 50. Divide by 100: shift 2 places right. 5,000 → 500 → 50.
  15. What is 0.06 × 10³? — 60. Multiply by 1,000: shift 3 places left. 0.06 → 0.6 → 6 → 60.
  16. What exponent makes this true: 8.1 × 10? = 810? — 2. 8.1 × 10² = 8.1 × 100 = 810. The exponent is 2.
  17. What is 0.1 × 10²? — 10. Shift 2 places left: 0.1 → 1 → 10.
  18. What is 10⁴? — 10,000. 10⁴ = 10 × 10 × 10 × 10 = 10,000.
  19. What is the pattern in: 4.7, 47, 470, 4,700? — Each term is 10 times the previous. 4.7 × 10 = 47, × 10 = 470, × 10 = 4,700. Each term is 10 times the previous.
  20. Why do we write a 0 placeholder when multiplying by the tens digit? — Because we are actually multiplying by a tens value. The tens digit represents a value in the tens place, so we multiply by 20 (not 2). The placeholder 0 shifts the partial product left.
  21. What is 342 × 27? — 9,234. 342 × 7 = 2,394. 342 × 20 = 6,840. Add: 2,394 + 6,840 = 9,234.
  22. What is 153 × 42? — 6,426. 153 × 2 = 306. 153 × 40 = 6,120. Add: 306 + 6,120 = 6,426.
  23. What is 408 × 25? — 10,200. 408 × 5 = 2,040. 408 × 20 = 8,160. Add: 2,040 + 8,160 = 10,200.
  24. What is 265 × 13? — 3,445. 265 × 3 = 795. 265 × 10 = 2,650. Add: 795 + 2,650 = 3,445.
  25. What is 500 × 46? — 23,000. 5 × 46 = 230. Then × 100 (shift 2 left): 23,000.
  26. What is 312 × 45? — 14,040. 312 × 5 = 1,560. 312 × 40 = 12,480. Add: 1,560 + 12,480 = 14,040.
  27. What is 450 × 22? — 9,900. 450 × 2 = 900. 450 × 20 = 9,000. Add: 900 + 9,000 = 9,900.
  28. The standard algorithm breaks multiplication into "partial products." What are partial products? — The results of multiplying by each digit separately. Partial products are intermediate results from multiplying by each digit of the multiplier separately, then summed.
  29. What is 321 × 11? — 3,531. 321 × 1 = 321. 321 × 10 = 3,210. Add: 321 + 3,210 = 3,531.
  30. What is the best estimate for 487 × 62? — 30,000. Round: 500 × 60 = 30,000. This is closest to the exact answer of 30,194.
  31. What is 7.8 − 4.25? — 3.55. 7.80 − 4.25: borrow from tenths. 7.80 − 4.25 = 3.55.
  32. What is 4.2 × 3.1? — 13.02. 42 × 31 = 1,302. Two decimal places → 13.02.
  33. How many decimal places should the product of 2.4 × 1.52 have? — 3. 2.4 has 1 decimal place. 1.52 has 2. Total: 1+2 = 3 decimal places in the product.
  34. What is 12.6 + 4.37 + 0.5? — 17.47. Line up: 12.60 + 4.37 + 0.50 = 17.47.
  35. To divide 7.2 ÷ 0.9, what is the first step? — Multiply both by 10 to make the divisor a whole number. Move the decimal: 7.2 ÷ 0.9 = 72 ÷ 9 = 8. Multiply both by 10 to eliminate the decimal in the divisor.
  36. What is 7.2 ÷ 0.9? — 8. 7.2 ÷ 0.9 → 72 ÷ 9 = 8.
  37. What is 0.6 × 0.7? — 0.42. 6 × 7 = 42. Two decimal places total: 0.42.
  38. What is 15.75 − 8.4? — 7.35. 15.75 − 8.40 = 7.35.
  39. What is 0.25 × 40? — 10. 25 × 40 = 1,000. Two decimal places: 10.00 = 10.
  40. What is 1.5 × 1.5? — 2.25. 15 × 15 = 225. Two decimal places: 2.25.
  41. What is 100 − 34.57? — 65.43. 100.00 − 34.57 = 65.43.
  42. What is 0.001 × 1,000? — 1. 1 × 1,000 = 1,000. Three decimal places: 1.000 = 1.