Build confidence with these grade 6 place value worksheets. Students practice reading and writing whole numbers and decimals, identifying digit values, comparing and ordering decimals, rounding, using powers of 10, and applying place-value reasoning to everyday situations. The printable practice is organized from easier review to more challenging mixed skills.
How to Use These Worksheets
Work through the sections in order, showing calculations when useful. Students may use place-value charts or scratch paper, but should not look at the answer keys until each section is complete. For independent practice, choose one section at a time; for review, complete the mixed set after finishing the skill-specific sections.
Skills Covered
• Identifying the place and value of digits in whole numbers and decimals
• Writing numbers in standard, word, and expanded forms
• Comparing and ordering decimals using place-value reasoning
• Rounding decimals to specified places
• Multiplying and dividing by powers of 10 and explaining digit shifts
• Applying place value to measurements, money, populations, distances, and data
Directions: Answer every question. Unless stated otherwise, write numbers using standard US notation and include commas where appropriate.
Easy Practice Problems
Focus on digit values, expanded form, decimal places, simple comparisons, rounding, and powers of 10.
1. In 483,726, what is the value of the digit 3?
2. In 905,184, what is the value of the digit 0?
3. In 672,591, what is the value of the digit 7?
4. In 341,806, what is the value of the digit 8?
5. In 728,435, what is the value of the digit 2?
6. In 560,219, what is the value of the digit 6?
7. In 814,673, what is the value of the digit 1?
8. In 293,750, what is the value of the digit 9?
9. In 407,862, what is the value of the digit 4?
10. In 651,938, what is the value of the digit 5?
11. Write 304 in expanded form.
12. Write 5,821 in expanded form.
13. Write 76,043 in expanded form.
14. Write 901,206 in expanded form.
15. Write 43,870 in expanded form.
16. Write “six hundred twenty-four thousand, fifteen” in standard form.
17. Write “three million, forty-two thousand, nine” in standard form.
18. In 58.372, what is the value of the digit 3?
19. In 6.405, what is the value of the digit 5?
20. In 17.29, which digit is in the tenths place?
21. In 0.864, which digit is in the hundredths place?
22. Write 4.506 in expanded form.
23. Write 0.73 in expanded form.
24. Which is greater: 6.4 or 6.40?
25. Insert <, >, or =: 0.58 ___ 0.6.
26. Round 38.46 to the nearest tenth.
27. Round 7.284 to the nearest hundredth.
28. Round 4,672 to the nearest hundred.
29. What is 10 times 36?
30. What is 4.7 × 10?
31. What is 820 ÷ 10?
32. What is 6.3 ÷ 100?
Medium Practice Problems
Use expanded and word forms, compare close decimal values, round to different places, and reason about powers of 10.
1. Express 7,305,082 as a sum of its place values.
2. Break down 5.084 by place value.
3. Show 0.609 as the sum of its place values.
4. Spell out 804,070 in words.
5. Convert “two million, six hundred nine thousand, forty-one” to numerals.
6. In 3,482,716, what is the value of the 8?
7. In 91.057, what is the value of the 5?
8. In 0.392, what is the value of the 9?
9. Order from least to greatest: 4.08, 4.8, 4.008, 4.18.
10. Order from greatest to least: 0.73, 0.703, 0.737, 0.7.
11. Insert <, >, or =: 12.090 ___ 12.09.
12. Insert <, >, or =: 6.099 ___ 6.1.
13. Round 56.748 to the nearest whole number.
14. Round 56.748 to the nearest tenth.
15. Round 56.748 to the nearest hundredth.
16. Round 902,651 to the nearest ten thousand.
17. Round 7,849,210 to the nearest million.
18. What is 3.86 × 100?
19. What is 0.047 × 1,000?
20. What is 5,280 ÷ 100?
21. What is 73.5 ÷ 10?
22. Complete: 6.2 × ___ = 620.
23. Complete: 4,500 ÷ ___ = 45.
24. How many times greater is the 7 in 7,260 than the 7 in 270?
25. Explain the value of the digit 4 in 8.042.
Advanced Practice Problems
These problems combine place-value reasoning, powers of 10, multi-step thinking, and decimal precision. Some exponent notation is enrichment.
1. A number has 6 in the hundred-thousands place, 2 in the thousands place, 9 in the tens place, and 4 in the tenths place; all other digits are zero. Write the number in standard form.
2. Express 40,507,006.308 as a sum of its place values.
3. Find the product of 0.004 and 1,000.
4. Calculate 63.7 divided by 1,000.5. What number is 100 times as large as 0.056?
6. What number is one-tenth of 83.4?
7. A digit has a value of 0.007 in 12.507. Which digit is it, and what place is it in?
8. In 6,060,606, compare the value of the leftmost 6 with the rightmost 6. How many times greater is the leftmost 6?
9. Order from least to greatest: 0.0909, 0.099, 0.9, 0.909.
10. Round 0.995 to the nearest hundredth.
11. Round 48,765,432 to the nearest hundred thousand.
12. Round 9.949 to the nearest tenth.
13. A number rounds to 3.6 to the nearest tenth. Give one possible number greater than 3.6 that rounds to 3.6.
14. Write a number with 5 in the ten-thousands place, 5 in the tens place, and 5 in the thousandths place.
15. The value of a digit is 0.08. What is its value if it moves two places to the left?
16. The value of a digit is 70,000. What is its value if it moves three places to the right?
17. Complete: 0.006 × 10^4 = ___.
18. Complete: 5,240 ÷ 10^2 = ___.
19. Which is greater, 3.04 × 100 or 304 ÷ 10?
20. A number is 10 times 2.56 and then divided by 100. What is the result?
21. Create a decimal between 8.2 and 8.3 with a 7 in the hundredths place.
22. What is the difference between the value of the 4 in 4.681 and the value of the 4 in 0.046?
23. A number has 3 tenths, 12 hundredths, and 5 thousandths. Write the total as a decimal.
24. A student says 0.405 is greater than 0.45 because 405 is greater than 45. Explain the error and give the correct comparison.
25. Write 7.2 × 10^3 in standard form.
Mixed Practice Problems
Review all skills together. Read each question carefully and show work for multi-step items.
1. In 2,507,194, what is the value of the digit 5?
2. Write 9,040,306 in expanded form.
3. Write “one million, twenty thousand, eight” in standard form.
4. In 14.286, what is the value of the digit 8?
5. Write 0.507 in expanded form.
6. Order from least to greatest: 3.4, 3.04, 3.404, 3.44.
7. Insert <, >, or =: 0.670 ___ 0.67.
8. Round 125.678 to the nearest hundredth.
9. Round 63,499 to the nearest thousand.
10. Round 5.05 to the nearest tenth.
11. What is 0.82 × 1,000?
12. What is 9,600 ÷ 100?
13. Complete: 0.73 × ___ = 73.
14. Complete: 2,800 ÷ ___ = 2.8.
15. Which digit is in the thousandths place in 21.637?
16. What is the value of the 9 in 0.091?
17. Write 305,020.06 in expanded form.
18. Which is greater: 0.808 or 0.88?
19. Round 999.95 to the nearest tenth.
20. A digit 6 has a value of 600. What is its value after moving one place to the right?
21. How many times greater is 0.7 than 0.007?
22. Write a number between 12.49 and 12.5.
23. A number is 4.08. What is the result after multiplying it by 10 and then dividing by 100?
24. In 8,765,432, how much greater is the value of the 8 than the value of the 8 in 0.08?
25. Write 6.035 in words.
Easy Word Problems
Apply basic place-value skills to familiar school, shopping, sports, and measurement contexts.
1. A school district printed 42,615 math workbooks. What is the value of the digit 2?
2. A nature center recorded 18.467 inches of rain over several days. What is the value of the digit 6?
3. A stadium had 56,302 fans attend events over a weekend. Write this number in expanded form.
4. A store sold 3,408 pencils in a month. Write this number in words.
5. A hiking trail is 7.285 miles long. What digit is in the hundredths place?
6. A science class measured a plant as 0.739 meter tall. What is the value of the digit 9?
7. A museum welcomed 124,682 visitors last year. Round the number to the nearest thousand.
8. A charity collected $6,748. Round the amount to the nearest hundred dollars.
9. A runner completed a race in 12.48 seconds. Round the time to the nearest tenth of a second.
10. A store packed 8,250 stickers equally into boxes of 10. How many stickers would be in each group if you divide 8,250 by 10?
11. A farm harvested 4.6 tons of apples. How many tons is 10 times that amount?
12. A school ordered 0.85 thousand notebooks. How many notebooks is that?
13. A weather station recorded 3.056 inches of snow. Write the measurement in expanded form.
14. A city park covers 15.62 acres. Which digit is in the tenths place?
15. A bookstore has 2,075 books in storage. What is the value of the digit 7?
16. A team scored 0.64 of its free throws. Write 0.64 in expanded form.
17. A water tank holds 568.3 gallons. Round the amount to the nearest whole gallon.
18. A delivery truck traveled 6,407 miles in a month. What is the value of the digit 4?
19. A science fair had 0.507 thousand visitors. How many visitors is that?
20. A recipe uses 2.35 cups of flour. What digit is in the hundredths place?
21. A school raised $9,481 for a fundraiser. Round the total to the nearest thousand dollars.
22. A toy company made 31,806 toy cars. Write the number in expanded form.
23. A lake’s water level rose 0.28 foot. What is the value of the digit 2?
24. A baseball stadium seats 40,908 people. What is the value of the digit 4?
25. A student measured a desk as 1.275 meters long. Round the length to the nearest hundredth of a meter.
Medium Word Problems
Use place-value reasoning to compare measurements, round totals, and interpret decimal quantities.
1. A county fair welcomed 248,675 visitors over the summer. Round the total to the nearest ten thousand.
2. A school district spent $3,406,280 on classroom supplies. What is the value of the digit 4?
3. A runner’s time was 14.386 seconds. Round it to the nearest hundredth.
4. A store sold 2.75 thousand notebooks. How many notebooks did it sell?
5. A nature reserve covers 36.408 square miles. What is the value of the digit 8?
6. A stadium had 72,498 attendees across several games. Round to the nearest hundred.
7. A bakery used 18.065 pounds of flour. Write the amount in expanded form.
8. A city has 1,406,092 residents. Write the population in expanded form.
9. A class raised $0.875 thousand for a charity. How much money is that?
10. A cyclist rode 5.64 miles on Monday and 5.604 miles on Tuesday. Which distance was longer, and by how much?
11. A science lab has 0.046 liter of solution. What amount is 100 times as much?
12. A warehouse divides 56,000 pens into 1,000 equal groups. How many pens are in each group?
13. A map shows a road as 8.749 miles long. Round the distance to the nearest tenth.
14. A school library catalog lists 105,090 titles. What is the value of the 5?
15. A farmer harvested 7.208 tons of corn. How many tons is one-tenth of that amount?
16. A town’s population is 84,651. Round it to the nearest thousand.
17. A swimmer finished in 59.995 seconds. Round the time to the nearest hundredth.
18. A store sold 0.038 million trading cards. How many cards is that?
19. A park trail is 12.406 miles long. Another trail is 12.46 miles long. Which is longer?
20. A machine makes 3.72 meters of ribbon per minute. How much ribbon does it make in 100 minutes?
21. A data file is 4.8 gigabytes. Express this as megabytes if 1 gigabyte = 1,000 megabytes.
22. A school printed 45,672 flyers and rounded the count to the nearest thousand. What rounded count should it report?
23. A water station filled 0.625 thousand bottles. How many bottles were filled?
24. A store marked a jacket at $78.496 before rounding to the nearest cent. What price should appear?
25. A runner’s distance was 6.075 kilometers. What is the value of the digit 7?
Advanced Word Problems
Solve multi-step real-world problems involving rounding, decimal scaling, and interpreting large quantities. Use the stated conversion rates.
1. A national park recorded 2,486,759 visitors. Round the count to the nearest hundred thousand, then state how much the rounded value differs from the original.
2. A lab has 0.0068 liter of a sample. What volume is 1,000 times as much?
3. A city’s population is 3,045,678. What is the value of the 4, and how does it compare with the value of the 4 in 0.004?
4. Two hikes are 8.095 miles and 8.1 miles long. Which is longer, and what is the difference?
5. A school district budget is $12,678,450. Round it to the nearest million and find the difference from the exact amount.
6. A science experiment uses 0.0045 gram of powder. What amount is 100 times as much?
7. A shipping label lists a package mass as 3.995 kilograms. Round to the nearest tenth of a kilogram.
8. A concert venue sold 49,951 tickets. Round the number to the nearest thousand and explain the rounding digit.
9. A town’s water use was 6.307 million gallons. Write this amount as a number of gallons.
10. A runner records 10.049 seconds and another records 10.05 seconds. Which is faster and by how many seconds?
11. A store orders 0.072 million paper clips. How many paper clips is that?
12. A machine multiplies a measurement of 0.058 by 100 and then divides by 10. What is the final measurement?
13. A wildlife reserve covers 105.086 square miles. What is the value of the 8, and what is the value of the 5 in the ones place of 105.086?
14. A printer makes 2.45 thousand pages each hour. How many pages does it print in 8 hours at that rate?
15. A reservoir holds 8.006 million gallons. How many gallons is that?
16. A student says 7.099 rounds to 7.10 to the nearest hundredth. Is the student correct? Explain briefly.
17. A delivery route is 24.68 miles in the morning and 24.608 miles in the afternoon. Which is longer, and by how much?
18. A research team records 0.00072 meter. What is this measurement multiplied by 10,000?
19. A city prints 605,040 ballots. Write the count in expanded form.
20. A price is $19.995 before rounding to the nearest cent. What is the rounded price?
21. A data set shows 4.07 million downloads. Write the number of downloads in standard form.
22. A trail is 9.999 kilometers long. Round it to the nearest whole kilometer.
23. A lab changes 0.034 liter to milliliters. If 1 liter = 1,000 milliliters, how many milliliters is this?
24. A stadium’s attendance was 101,499. Round it to the nearest ten thousand and calculate the difference from the original count.
25. A number in a report is 0.0006 million dollars. How many dollars does it represent?
Mixed Word Problems
Review place value, decimal comparisons, rounding, and powers of 10 in practical contexts.
1. A library system has 456,789 books. What is the value of the digit 5?
2. A runner completes 3.407 miles. Round the distance to the nearest hundredth.
3. A town has 0.825 million residents. Write the population as a whole number.
4. A school buys 1,250 markers and packs them into groups of 10. How many groups are made?
5. A park trail is 6.08 miles and a second trail is 6.8 miles. Which is longer?
6. A store’s weekly sales are $28,649. Round the amount to the nearest thousand dollars.
7. A water sample is 0.009 liter. What is 100 times this amount?
8. A sports arena seats 18,506 people. Write the number in expanded form.
9. A recipe needs 0.375 kilogram of flour. What digit is in the thousandths place?
10. A town recorded 4,950,200 visitors over several years. Round to the nearest million.
11. A package weighs 2.486 kilograms. Round to the nearest tenth.
12. A shop sells 0.064 thousand keychains. How many keychains is that?
13. A lake’s level changes by 0.056 meter. What is the value of the 5?
14. A school district has 75,049 students. Round the count to the nearest ten thousand.
15. A race time is 11.999 seconds. Round it to the nearest hundredth.
16. A printer creates 0.72 thousand pages. How many pages is that?
17. A cyclist rides 12.045 miles. What is the value of the 4?
18. A city has 2,006,030 residents. Write the population in words.
19. A store compares $15.08 with $15.008. Which amount is greater?
20. A measurement of 5.36 is divided by 100. What is the result?
21. A stadium sold 62,451 tickets. Round to the nearest hundred.
22. A farmer harvests 0.408 ton of berries. What is 10 times this amount?
23. A book has 1,284 pages across a set of volumes. What is the value of the digit 2?
24. A road is 18.765 miles long. Round it to the nearest tenth.
25. A science class measures 0.305 meter. Write the measurement in expanded form.
Answer Key
Answers are grouped by section. Question numbers restart at 1 in each section.
Easy Practice Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 3,000 | 2 | 0 | 3 | 70,000 |
| 4 | 800 | 5 | 20,000 | 6 | 60,000 |
| 7 | 10,000 | 8 | 90,000 | 9 | 400,000 |
| 10 | 50,000 | 11 | 300 + 0 + 4 | 12 | 5,000 + 800 + 20 + 1 |
| 13 | 70,000 + 6,000 + 40 + 3 | 14 | 900,000 + 1,000 + 200 + 6 | 15 | 40,000 + 3,000 + 800 + 70 |
| 16 | 624,015 | 17 | 3,042,009 | 18 | 0.3 (three tenths) |
| 19 | 0.005 (five thousandths) | 20 | 2 | 21 | 6 |
| 22 | 4 + 0.5 + 0.006 | 23 | 0.7 + 0.03 | 24 | They are equal |
| 25 | 0.58 < 0.6 | 26 | 38.5 | 27 | 7.28 |
| 28 | 4,700 | 29 | 360 | 30 | 47 |
| 31 | 82 | 32 | 0.063 |
Medium Practice Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 7,000,000 + 300,000 + 5,000 + 80 + 2 | 2 | 5 + 0.08 + 0.004 | 3 | 0.6 + 0.009 |
| 4 | Eight hundred four thousand, seventy | 5 | 2,609,041 | 6 | 80,000 |
| 7 | 0.05 (five hundredths) | 8 | 0.09 (nine hundredths) | 9 | 4.008, 4.08, 4.18, 4.8 |
| 10 | 0.737, 0.73, 0.703, 0.7 | 11 | = | 12 | < |
| 13 | 57 | 14 | 56.7 | 15 | 56.75 |
| 16 | 900,000 | 17 | 8,000,000 | 18 | 386 |
| 19 | 47 | 20 | 52.8 | 21 | 7.35 |
| 22 | 100 | 23 | 100 | 24 | 100 times |
| 25 | 4 hundredths, or 0.04 |
Advanced Practice Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 602,090.4 | 2 | 40,000,000 + 500,000 + 7,000 + 6 + 0.3 + 0.008 | 3 | 4 |
| 4 | 0.0637 | 5 | 5.6 | 6 | 8.34 |
| 7 | 7; thousandths place | 8 | 1,000,000 times | 9 | 0.0909, 0.099, 0.9, 0.909 |
| 10 | 1.00 | 11 | 48,800,000 | 12 | 9.9 |
| 13 | Any number greater than 3.6 and less than 3.65, e.g. 3.62 | 14 | Example: 50,050.005 | 15 | 8 |
| 16 | 70 | 17 | 60 | 18 | 52.4 |
| 19 | 3.04 × 100 = 304 is greater | 20 | 0.256 | 21 | Example: 8.27 |
| 22 | 3.96 (4 − 0.04) | 23 | 0.425 | 24 | They did not align decimal places; 0.405 < 0.450 (0.45). |
| 25 | 7,200 |
Mixed Practice Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 500,000 | 2 | 9,000,000 + 40,000 + 300 + 6 | 3 | 1,020,008 |
| 4 | 0.08 | 5 | 0.5 + 0.007 | 6 | 3.04, 3.4, 3.404, 3.44 |
| 7 | = | 8 | 125.68 | 9 | 63,000 |
| 10 | 5.1 | 11 | 820 | 12 | 96 |
| 13 | 100 | 14 | 1,000 | 15 | 7 |
| 16 | 0.09 | 17 | 300,000 + 5,000 + 20 + 0.06 | 18 | 0.88 |
| 19 | 1,000.0 | 20 | 60 | 21 | 100 times |
| 22 | Example: 12.495 | 23 | 0.408 | 24 | 7,999,999.92 |
| 25 | Six and thirty-five thousandths |
Easy Word Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 2,000 | 2 | 0.06 (six hundredths) | 3 | 50,000 + 6,000 + 300 + 2 |
| 4 | Three thousand four hundred eight | 5 | 8 | 6 | 0.009 (nine thousandths) |
| 7 | 125,000 | 8 | $6,700 | 9 | 12.5 seconds |
| 10 | 825 | 11 | 46 tons | 12 | 850 notebooks |
| 13 | 3 + 0.05 + 0.006 | 14 | 6 | 15 | 70 |
| 16 | 0.6 + 0.04 | 17 | 568 gallons | 18 | 400 |
| 19 | 507 visitors | 20 | 5 | 21 | $9,000 |
| 22 | 30,000 + 1,000 + 800 + 6 | 23 | 0.2 foot | 24 | 40,000 |
| 25 | 1.28 meters |
Medium Word Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 250,000 visitors | 2 | 400,000 dollars | 3 | 14.39 seconds |
| 4 | 2,750 notebooks | 5 | 0.008 square mile | 6 | 72,500 attendees |
| 7 | 10 + 8 + 0.06 + 0.005 pounds | 8 | 1,000,000 + 400,000 + 6,000 + 90 + 2 | 9 | $875 |
| 10 | Monday by 0.036 mile | 11 | 4.6 liters | 12 | 56 pens |
| 13 | 8.7 miles | 14 | 5,000 titles | 15 | 0.7208 ton |
| 16 | 85,000 | 17 | 60.00 seconds | 18 | 38,000 cards |
| 19 | 12.46-mile trail | 20 | 372 meters | 21 | 4,800 megabytes |
| 22 | 46,000 flyers | 23 | 625 bottles | 24 | $78.50 |
| 25 | 0.07 kilometer |
Advanced Word Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 2,500,000; 13,241 more than the original | 2 | 6.8 liters | 3 | 40,000; it is 10,000,000 times as large |
| 4 | 8.1 miles; 0.005 mile longer | 5 | $13,000,000; $321,550 | 6 | 0.45 gram |
| 7 | 4.0 kilograms | 8 | 50,000 tickets; hundreds digit is 9, so round up | 9 | 6,307,000 gallons |
| 10 | 10.049 seconds; faster by 0.001 second | 11 | 72,000 paper clips | 12 | 0.58 |
| 13 | 0.08; 5 | 14 | 19,600 pages | 15 | 8,006,000 gallons |
| 16 | Yes; the thousandths digit is 9, so 7.09 rounds up to 7.10 | 17 | Morning by 0.072 mile | 18 | 7.2 meters |
| 19 | 600,000 + 5,000 + 40 | 20 | $20.00 | 21 | 4,070,000 downloads |
| 22 | 10 kilometers | 23 | 34 milliliters | 24 | 100,000; 1,499 fewer than the original |
| 25 | $600 |
Mixed Word Problems — Answers
| Q# | Answer | Q# | Answer | Q# | Answer |
| 1 | 50,000 books | 2 | 3.41 miles | 3 | 825,000 residents |
| 4 | 125 groups | 5 | 6.8-mile trail | 6 | $29,000 |
| 7 | 0.9 liter | 8 | 10,000 + 8,000 + 500 + 6 | 9 | 5 |
| 10 | 5,000,000 visitors | 11 | 2.5 kilograms | 12 | 64 keychains |
| 13 | 0.05 meter | 14 | 80,000 students | 15 | 12.00 seconds |
| 16 | 720 pages | 17 | 0.04 mile | 18 | Two million, six thousand, thirty |
| 19 | $15.08 | 20 | 0.0536 | 21 | 62,500 tickets |
| 22 | 4.08 tons | 23 | 200 pages | 24 | 18.8 miles |
| 25 | 0.3 + 0.005 meter |
Frequently Asked Questions
What is place value in Grade 6 math?
Place value tells what a digit is worth based on its position, such as hundreds, tenths, or thousandths.
Do Grade 6 students need to know decimal place value?
Yes. Decimal place-value understanding supports comparing rational numbers, measurement, computation, and later work with ratios and expressions.
How can students compare decimals correctly?
Line up decimal points, add placeholder zeros when helpful, and compare digits from left to right.
Are these worksheets printable?
Yes. The document can be edited in Microsoft Word and saved or exported as a PDF for printing.
Which Common Core standards support these skills?
The core place-value and decimal standards are primarily in Grade 5, including 5.NBT.A.1–4; they provide useful review and readiness practice for Grade 6.
Conclusion
Use these grade 6 place value worksheets for classroom review, tutoring, homework, or homeschool practice. Encourage students to explain how a digit’s position changes its value, then check work with the answer keys. Explore related worksheets for decimals, fractions, and operations to build a connected math practice routine.