Problem Description:
The task involves interpreting base ten blocks to determine the number represented by each group of blocks. Base ten blocks are a visual and tactile tool used to teach place value, where:
- A
cube represents 1,000 (thousands).
- A
flat represents 100 (hundreds).
- A
rod represents 10 (tens).
- A
unit cube represents 1 (ones).
We need to count the number of each type of block in the given images and then write the total number.
---
Solution:
####
Problem 1:
1.
Count the cubes (thousands):
- There are
2 cubes.
- Each cube represents 1,000.
- Total for thousands: \( 2 \times 1,000 = 2,000 \).
2.
Count the flats (hundreds):
- There are
5 flats.
- Each flat represents 100.
- Total for hundreds: \( 5 \times 100 = 500 \).
3.
Count the rods (tens):
- There are
8 rods.
- Each rod represents 10.
- Total for tens: \( 8 \times 10 = 80 \).
4.
Count the unit cubes (ones):
- There are
7 unit cubes.
- Each unit cube represents 1.
- Total for ones: \( 7 \times 1 = 7 \).
5.
Combine the values:
- Thousands: 2,000
- Hundreds: 500
- Tens: 80
- Ones: 7
- Total number: \( 2,000 + 500 + 80 + 7 = 2,587 \).
####
Final Answer for Problem 1:
\[
\boxed{2587}
\]
---
####
Problem 2:
1.
Count the cubes (thousands):
- There are
3 cubes.
- Each cube represents 1,000.
- Total for thousands: \( 3 \times 1,000 = 3,000 \).
2.
Count the flats (hundreds):
- There are
4 flats.
- Each flat represents 100.
- Total for hundreds: \( 4 \times 100 = 400 \).
3.
Count the rods (tens):
- There are
6 rods.
- Each rod represents 10.
- Total for tens: \( 6 \times 10 = 60 \).
4.
Count the unit cubes (ones):
- There are
9 unit cubes.
- Each unit cube represents 1.
- Total for ones: \( 9 \times 1 = 9 \).
5.
Combine the values:
- Thousands: 3,000
- Hundreds: 400
- Tens: 60
- Ones: 9
- Total number: \( 3,000 + 400 + 60 + 9 = 3,469 \).
####
Final Answer for Problem 2:
\[
\boxed{3469}
\]
---
Final Answers:
1. \(\boxed{2587}\)
2. \(\boxed{3469}\)
Parent Tip: Review the logic above to help your child master the concept of base ten models worksheet.
