Problem Description:
The task involves writing the number represented by groups of base-10 blocks. Each group consists of different types of blocks:
flats (100s),
longs (10s), and
units (1s). The goal is to count these blocks and write the corresponding number.
Step-by-Step Solution:
####
Part 1: Understanding the Blocks
1.
Flats: Each flat represents
100.
2.
Longs: Each long represents
10.
3.
Units: Each unit represents
1.
####
Part 2: Counting the Blocks in Each Row
#####
Row 1:
-
Flats: There are
4 flats.
- Value: \( 4 \times 100 = 400 \)
-
Longs: There are
5 longs.
- Value: \( 5 \times 10 = 50 \)
-
Units: There are
7 units.
- Value: \( 7 \times 1 = 7 \)
Total for Row 1:
\[
400 + 50 + 7 = 457
\]
#####
Row 2:
-
Flats: There are
3 flats.
- Value: \( 3 \times 100 = 300 \)
-
Longs: There are
6 longs.
- Value: \( 6 \times 10 = 60 \)
-
Units: There are
8 units.
- Value: \( 8 \times 1 = 8 \)
Total for Row 2:
\[
300 + 60 + 8 = 368
\]
#####
Row 3:
-
Flats: There are
2 flats.
- Value: \( 2 \times 100 = 200 \)
-
Longs: There are
4 longs.
- Value: \( 4 \times 10 = 40 \)
-
Units: There are
3 units.
- Value: \( 3 \times 1 = 3 \)
Total for Row 3:
\[
200 + 40 + 3 = 243
\]
#####
Row 4:
-
Flats: There are
1 flat.
- Value: \( 1 \times 100 = 100 \)
-
Longs: There are
2 longs.
- Value: \( 2 \times 10 = 20 \)
-
Units: There are
5 units.
- Value: \( 5 \times 1 = 5 \)
Total for Row 4:
\[
100 + 20 + 5 = 125
\]
####
Part 3: Writing the Answers
Now, we write the numbers corresponding to each row:
1. Row 1:
457
2. Row 2:
368
3. Row 3:
243
4. Row 4:
125
Final Answer:
\[
\boxed{457, 368, 243, 125}
\]
Parent Tip: Review the logic above to help your child master the concept of place value blocks worksheet 3rd.
