The task involves solving 3-digit subtraction problems using base-ten blocks. Here's a step-by-step explanation of how to solve each problem:
Step 1: Count the Base-Ten Blocks
Each problem consists of two sets of base-ten blocks:
-
Flats: Represent 100 (each flat is worth 100).
-
Longs: Represent 10 (each long is worth 10).
-
Units: Represent 1 (each unit is worth 1).
Step 2: Write the Numbers
Count the number of flats, longs, and units for each set of blocks and write the corresponding numbers in the boxes provided.
Step 3: Solve the Subtraction Problem
Subtract the second number from the first number. Since the instruction specifies "without regrouping," ensure that the digits in each place value (hundreds, tens, and ones) are subtracted directly without borrowing.
Let's Solve Each Problem
#### Problem 1:
-
First Number:
- Flats: 4
- Longs: 5
- Units: 3
- Total: \( 400 + 50 + 3 = 453 \)
-
Second Number:
- Flats: 2
- Longs: 3
- Units: 6
- Total: \( 200 + 30 + 6 = 236 \)
-
Subtraction:
\[
453 - 236 = 217
\]
#### Problem 2:
-
First Number:
- Flats: 5
- Longs: 4
- Units: 4
- Total: \( 500 + 40 + 4 = 544 \)
-
Second Number:
- Flats: 3
- Longs: 2
- Units: 1
- Total: \( 300 + 20 + 1 = 321 \)
-
Subtraction:
\[
544 - 321 = 223
\]
#### Problem 3:
-
First Number:
- Flats: 6
- Longs: 7
- Units: 2
- Total: \( 600 + 70 + 2 = 672 \)
-
Second Number:
- Flats: 4
- Longs: 5
- Units: 8
- Total: \( 400 + 50 + 8 = 458 \)
-
Subtraction:
\[
672 - 458 = 214
\]
#### Problem 4:
-
First Number:
- Flats: 7
- Longs: 9
- Units: 5
- Total: \( 700 + 90 + 5 = 795 \)
-
Second Number:
- Flats: 5
- Longs: 6
- Units: 3
- Total: \( 500 + 60 + 3 = 563 \)
-
Subtraction:
\[
795 - 563 = 232
\]
#### Problem 5:
-
First Number:
- Flats: 8
- Longs: 8
- Units: 7
- Total: \( 800 + 80 + 7 = 887 \)
-
Second Number:
- Flats: 6
- Longs: 7
- Units: 9
- Total: \( 600 + 70 + 9 = 679 \)
-
Subtraction:
\[
887 - 679 = 208
\]
Final Answers:
1. \( 453 - 236 = 217 \)
2. \( 544 - 321 = 223 \)
3. \( 672 - 458 = 214 \)
4. \( 795 - 563 = 232 \)
5. \( 887 - 679 = 208 \)
\[
\boxed{217, 223, 214, 232, 208}
\]
Parent Tip: Review the logic above to help your child master the concept of subtraction with base ten blocks worksheet.