Problem Overview:
The task involves comparing numbers represented by base ten blocks. Each pair of images shows a number represented using rods (tens) and cubes (ones). The goal is to determine whether the comparison signs (`<`, `>`, or `=`) between the two numbers in each pair are correct.
Step-by-Step Solution:
####
Pair 1:
-
Left Side:
- Rods (tens): 3
- Cubes (ones): 4
- Total: \(3 \times 10 + 4 = 34\)
-
Right Side:
- Rods (tens): 3
- Cubes (ones): 7
- Total: \(3 \times 10 + 7 = 37\)
-
Comparison Sign: `<`
-
Verification: \(34 < 37\) is true.
-
Correctness: ✔
####
Pair 2:
-
Left Side:
- Rods (tens): 4
- Cubes (ones): 6
- Total: \(4 \times 10 + 6 = 46\)
-
Right Side:
- Rods (tens): 4
- Cubes (ones): 2
- Total: \(4 \times 10 + 2 = 42\)
-
Comparison Sign: `>`
-
Verification: \(46 > 42\) is true.
-
Correctness: ✔
####
Pair 3:
-
Left Side:
- Rods (tens): 5
- Cubes (ones): 4
- Total: \(5 \times 10 + 4 = 54\)
-
Right Side:
- Rods (tens): 5
- Cubes (ones): 3
- Total: \(5 \times 10 + 3 = 53\)
-
Comparison Sign: `<`
-
Verification: \(54 < 53\) is false.
-
Correctness: ✘
####
Pair 4:
-
Left Side:
- Rods (tens): 6
- Cubes (ones): 8
- Total: \(6 \times 10 + 8 = 68\)
-
Right Side:
- Rods (tens): 6
- Cubes (ones): 8
- Total: \(6 \times 10 + 8 = 68\)
-
Comparison Sign: `=`
-
Verification: \(68 = 68\) is true.
-
Correctness: ✔
Final Answer:
- Pair 1: Correct
- Pair 2: Correct
- Pair 3: Incorrect
- Pair 4: Correct
Boxes to Check:
- Pair 1: ☐
- Pair 2: ☐
- Pair 3: ☐
- Pair 4: ☐
Final Answer:
\[
\boxed{1, 2, 4}
\]
Parent Tip: Review the logic above to help your child master the concept of base ten models worksheet.