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Base-Ten Block Place Value Practice

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Place Value Base-Ten Blocks

Part 1: Count the Base-Ten Blocks

Directions: Each picture is unlabeled. Use the shape and size of each block to decide its value. Count all the blocks and write the number.

1. ■■■■■■ Number: ________
2. ▬▬▬▬▬▬▬▬▬▬ + ■■■ Number: ________
3. ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■ Number: ________
4. ▦ ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■■■■ Number: ________
5. ◈ + ▦ ▦ ▦ + ▬▬▬▬▬▬▬▬▬▬ + ■■■■■■ Number: ________
6. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■■■■■■■■ Number: ________
7. ▦ ▦ ▦ ▦ + ■■■■■■■■■■ Number: ________
8. ◈ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■■■■■■■ Number: ________

Part 2: Build, Write, Compare, and Draw

Remember: a unit cube is worth 1, a rod is worth 10, a flat is worth 100, and a large cube is worth 1,000.

9. Build each number from the place-value description. Write the standard form.

a. 3 hundreds, 4 tens, and 7 ones: ________

b. 1 thousand, 2 hundreds, 0 tens, and 5 ones: ________

c. 6 hundreds, 8 tens, and 0 ones: ________

10. Write each number in expanded form.

a. 582 = __________________________________________

b. 1,306 = ________________________________________

c. 740 = __________________________________________

11. Write the standard form.

a. 400 + 20 + 9 = ________

b. 1,000 + 500 + 6 = ________

c. 700 + 0 + 3 = ________

12. Compare the two representations. Write <, >, or =.

a. ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■ ________ ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ + ■■■

b. ◈ + ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ ________ ▦ ▦ + ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

13. Sketch base-ten blocks for each number. Draw large cubes, flats, rods, and unit cubes. Regroup if needed.

a. 126    b. 304    c. 475

d. 590    e. 1,024    f. 2,105

Part 3: Challenge and Answer Key

14. Trade or regroup.

a. Trade 10 unit cubes for ______ rod.

b. Trade 10 rods for ______ flat.

c. A model has 2 flats, 13 rods, and 4 unit cubes. Regroup it using fewer than 10 rods. Write the number: ________

15. A student models 1,250 with 1 large cube, 2 flats, 5 rods, and 0 unit cubes. The student trades the large cube for 10 flats. How many flats will the model have now? ________

Answer Key

1–8: 1. 6   2. 13   3. 142   4. 275   5. 1,316   6. 89   7. 410   8. 1,068

9: a. 347   b. 1,205   c. 680

10: a. 500 + 80 + 2   b. 1,000 + 300 + 0 + 6   c. 700 + 40 + 0

11: a. 429   b. 1,506   c. 703

12: a. <   b. <

13: a. 1 flat, 2 rods, 6 units   b. 3 flats, 0 rods, 4 units   c. 4 flats, 7 rods, 5 units   d. 5 flats, 9 rods   e. 1 large cube, 2 unit cubes   f. 2 large cubes, 1 flat, 5 units

14: a. 1   b. 1   c. 3 flats, 3 rods, 4 units; 234

15: 12 flats

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