Problem Overview:
The task involves interpreting numbers represented by base-10 blocks and identifying the correct number and its expanded form. Base-10 blocks are visual tools used to represent numbers in a place-value system, where:
-
Cubes represent 1 unit.
-
Longs represent 10 units.
-
Flats represent 100 units.
-
Large cubes represent 1000 units.
We need to:
1. Count the blocks in each row to determine the number they represent.
2. Circle the correct number from the given options.
3. Check the box with the correct expanded form of the number.
---
Step-by-Step Solution:
####
Row 1:
-
Blocks:
-
Cubes: There are 9 cubes (each representing 1 unit).
-
Longs: There are 3 longs (each representing 10 units), so \(3 \times 10 = 30\).
-
Flats: There are 4 flats (each representing 100 units), so \(4 \times 100 = 400\).
-
Large cubes: There are no large cubes.
-
Total Calculation:
\[
400 + 30 + 9 = 439
\]
-
Correct Number:
The number represented by the blocks is
439. Circle
439.
-
Expanded Form:
The expanded form of 439 is:
\[
400 + 30 + 9
\]
Check the box for
400 + 30 + 9.
####
Row 2:
-
Blocks:
-
Cubes: There are 1 cube (representing 1 unit).
-
Longs: There are 5 longs (each representing 10 units), so \(5 \times 10 = 50\).
-
Flats: There are 8 flats (each representing 100 units), so \(8 \times 100 = 800\).
-
Large cubes: There are no large cubes.
-
Total Calculation:
\[
800 + 50 + 1 = 851
\]
-
Correct Number:
The number represented by the blocks is
851. Circle
851.
-
Expanded Form:
The expanded form of 851 is:
\[
800 + 50 + 1
\]
Check the box for
800 + 50 + 1.
---
Final Answer:
- For Row 1:
- Circle:
439
- Check:
400 + 30 + 9
- For Row 2:
- Circle:
851
- Check:
800 + 50 + 1
\[
\boxed{439, 851}
\]
Parent Tip: Review the logic above to help your child master the concept of place value 3rd grade math worksheet.
