Problem Description:
The task involves interpreting base-10 blocks to determine the number they represent. Base-10 blocks are visual tools used to teach place value, where:
-
1 cube represents 1 unit.
-
1 long represents 10 units.
-
1 flat represents 100 units.
We need to count the number of cubes, longs, and flats in each image and calculate the total value they represent. Then, we will match this total with one of the given numbers.
---
Step-by-Step Solution:
####
Part 1: First Image
1.
Count the Flats (100s):
- There are
3 flats.
- Each flat is worth 100, so \( 3 \times 100 = 300 \).
2.
Count the Longs (10s):
- There are
5 longs.
- Each long is worth 10, so \( 5 \times 10 = 50 \).
3.
Count the Cubes (1s):
- There are
2 cubes.
- Each cube is worth 1, so \( 2 \times 1 = 2 \).
4.
Calculate the Total:
\[
\text{Total} = (\text{Flats}) + (\text{Longs}) + (\text{Cubes}) = 300 + 50 + 2 = 352
\]
5.
Match with the Given Numbers:
- The options are: 132, 312, 352, 230.
- The correct number is
352.
---
####
Part 2: Second Image
1.
Count the Flats (100s):
- There are
6 flats.
- Each flat is worth 100, so \( 6 \times 100 = 600 \).
2.
Count the Longs (10s):
- There are
7 longs.
- Each long is worth 10, so \( 7 \times 10 = 70 \).
3.
Count the Cubes (1s):
- There are
6 cubes.
- Each cube is worth 1, so \( 6 \times 1 = 6 \).
4.
Calculate the Total:
\[
\text{Total} = (\text{Flats}) + (\text{Longs}) + (\text{Cubes}) = 600 + 70 + 6 = 676
\]
5.
Match with the Given Numbers:
- The options are: 756, 675, 575, 576.
- The correct number is
676.
---
Final Answer:
\[
\boxed{352, 676}
\]
Parent Tip: Review the logic above to help your child master the concept of base 10 math worksheet.
