To solve the problem, we need to determine the number represented by each group of base ten blocks. Base ten blocks are a visual and tactile tool used to represent numbers in the decimal system. Here's how they work:
-
Large cubes (1000s): Each large cube represents 1000.
-
Flats (100s): Each flat represents 100.
-
Longs (10s): Each long represents 10.
-
Units (1s): Each small unit block represents 1.
Let's analyze each group of blocks step by step:
---
First Row:
1.
First Group:
- There are
3 large cubes.
- Each large cube represents 1000.
- Total: \( 3 \times 1000 = 3000 \).
-
Answer: 3000
2.
Second Group:
- There are
4 flats.
- Each flat represents 100.
- Total: \( 4 \times 100 = 400 \).
-
Answer: 400
3.
Third Group:
- There are
5 longs.
- Each long represents 10.
- Total: \( 5 \times 10 = 50 \).
-
Answer: 50
4.
Fourth Group:
- There are
7 units.
- Each unit represents 1.
- Total: \( 7 \times 1 = 7 \).
-
Answer: 7
---
Second Row:
5.
First Group:
- There are
2 large cubes,
3 flats, and
4 longs.
- Large cubes: \( 2 \times 1000 = 2000 \)
- Flats: \( 3 \times 100 = 300 \)
- Longs: \( 4 \times 10 = 40 \)
- Total: \( 2000 + 300 + 40 = 2340 \).
-
Answer: 2340
6.
Second Group:
- There are
1 large cube,
5 flats, and
8 units.
- Large cubes: \( 1 \times 1000 = 1000 \)
- Flats: \( 5 \times 100 = 500 \)
- Units: \( 8 \times 1 = 8 \)
- Total: \( 1000 + 500 + 8 = 1508 \).
-
Answer: 1508
7.
Third Group:
- There are
4 flats and
9 longs.
- Flats: \( 4 \times 100 = 400 \)
- Longs: \( 9 \times 10 = 90 \)
- Total: \( 400 + 90 = 490 \).
-
Answer: 490
8.
Fourth Group:
- There are
6 longs and
3 units.
- Longs: \( 6 \times 10 = 60 \)
- Units: \( 3 \times 1 = 3 \)
- Total: \( 60 + 3 = 63 \).
-
Answer: 63
---
Third Row:
9.
First Group:
- There are
2 large cubes,
1 flat,
5 longs, and
2 units.
- Large cubes: \( 2 \times 1000 = 2000 \)
- Flats: \( 1 \times 100 = 100 \)
- Longs: \( 5 \times 10 = 50 \)
- Units: \( 2 \times 1 = 2 \)
- Total: \( 2000 + 100 + 50 + 2 = 2152 \).
-
Answer: 2152
10.
Second Group:
- There are
1 large cube,
4 flats,
7 longs, and
1 unit.
- Large cubes: \( 1 \times 1000 = 1000 \)
- Flats: \( 4 \times 100 = 400 \)
- Longs: \( 7 \times 10 = 70 \)
- Units: \( 1 \times 1 = 1 \)
- Total: \( 1000 + 400 + 70 + 1 = 1471 \).
-
Answer: 1471
---
Final Answers:
1. 3000
2. 400
3. 50
4. 7
5. 2340
6. 1508
7. 490
8. 63
9. 2152
10. 1471
\[
\boxed{3000, 400, 50, 7, 2340, 1508, 490, 63, 2152, 1471}
\]
Parent Tip: Review the logic above to help your child master the concept of place value blocks worksheet 3rd.
