Let's solve each problem step by step using
base-ten blocks (also known as
place value blocks). These blocks represent numbers in the following way:
-
Large cube (10×10×10) = 1,000
-
Flat square (10×10) = 100
-
Long rod (10 units) = 10
-
Small cube (unit) = 1
We'll go through each item and count the total value.
---
1)
- 3 large cubes (each = 1,000) → 3 × 1,000 = 3,000
- 7 flats (each = 100) → 7 × 100 = 700
- 4 rods (each = 10) → 4 × 10 = 40
- 5 small cubes → 5 × 1 = 5
✔ Total:
3,000 + 700 + 40 + 5 = 3,745
---
2)
- 1 flat (100)
- 6 rods (6 × 10 = 60)
- 3 small cubes (3 × 1 = 3)
✔ Total:
100 + 60 + 3 = 163
---
3)
- 3 flats (3 × 100 = 300)
- 4 rods (4 × 10 = 40)
- 8 small cubes (8 × 1 = 8)
✔ Total:
300 + 40 + 8 = 348
---
4)
- 3 flats (3 × 100 = 300)
- 1 rod (10)
- 2 small cubes (2 × 1 = 2)
✔ Total:
300 + 10 + 2 = 312
---
5)
- 3 large cubes (3 × 1,000 = 3,000)
- 1 flat (100)
- 5 rods (5 × 10 = 50)
- 6 small cubes (6 × 1 = 6)
✔ Total:
3,000 + 100 + 50 + 6 = 3,156
---
6)
- 1 flat (100)
- 6 rods (6 × 10 = 60)
- 3 small cubes (3 × 1 = 3)
✔ Total:
100 + 60 + 3 = 163
---
7)
- 3 large cubes (3 × 1,000 = 3,000)
- 1 rod (10)
- 1 small cube (1)
✔ Total:
3,000 + 10 + 1 = 3,011
---
8)
- 3 large cubes (3 × 1,000 = 3,000)
- 6 flats (6 × 100 = 600)
- 7 rods (7 × 10 = 70)
- 1 small cube (1)
✔ Total:
3,000 + 600 + 70 + 1 = 3,671
---
9)
- 2 flats (2 × 100 = 200)
- 5 rods (5 × 10 = 50)
- 3 small cubes (3 × 1 = 3)
✔ Total:
200 + 50 + 3 = 253
---
10)
- 2 large cubes (2 × 1,000 = 2,000)
- 1 flat (100)
- 3 rods (3 × 10 = 30)
- 2 small cubes (2 × 1 = 2)
✔ Total:
2,000 + 100 + 30 + 2 = 2,132
---
✔ Final Answers:
1.
3,745
2.
163
3.
348
4.
312
5.
3,156
6.
163
7.
3,011
8.
3,671
9.
253
10.
2,132
---
Let me know if you'd like a visual explanation or help with any specific one!
Parent Tip: Review the logic above to help your child master the concept of place value worksheet up to 10000.
