Problem Explanation:
The worksheet focuses on understanding
place value and working with decimals, specifically in the context of tenths. The task is to count the total in each box by adding up the numbers provided, which include whole numbers and decimal values.
Solution Approach:
1.
Identify the components: Each box contains a mix of whole numbers and decimal numbers (tenths).
2.
Add the numbers: Sum all the numbers in each box carefully, keeping track of the place values.
3.
Combine whole numbers and decimals: Ensure that whole numbers and decimal parts are added correctly.
Step-by-Step Solutions:
####
Section 1: Count the total in each box
1.
Box 1:
- Numbers: 80, 0.1, 2, 0.5
- Total: \( 80 + 0.1 + 2 + 0.5 = 82.6 \)
-
Answer: 82.6
2.
Box 2:
- Numbers: 0.9, 8, 40, 30
- Total: \( 0.9 + 8 + 40 + 30 = 78.9 \)
-
Answer: 78.9
3.
Box 3:
- Numbers: 60, 0.6, 0.2, 20
- Total: \( 60 + 0.6 + 0.2 + 20 = 80.8 \)
-
Answer: 80.8
4.
Box 4:
- Numbers: 0.7, 40, 0.1, 7
- Total: \( 0.7 + 40 + 0.1 + 7 = 47.8 \)
-
Answer: 47.8
5.
Box 5:
- Numbers: 0.4, 1, 50, 0.3
- Total: \( 0.4 + 1 + 50 + 0.3 = 51.7 \)
-
Answer: 51.7
6.
Box 6:
- Numbers: 90, 3, 0.9, 50
- Total: \( 90 + 3 + 0.9 + 50 = 143.9 \)
-
Answer: 143.9
####
Section 2: Place Value Problems
7.
Problem 7: 4 TENS + 7 ONES + 9 TENTHS
- 4 TENS = 40
- 7 ONES = 7
- 9 TENTHS = 0.9
- Total: \( 40 + 7 + 0.9 = 47.9 \)
-
Answer: 47.9
8.
Problem 8: 7 TENTHS + 8 ONES + 5 TENS
- 7 TENTHS = 0.7
- 8 ONES = 8
- 5 TENS = 50
- Total: \( 0.7 + 8 + 50 = 58.7 \)
-
Answer: 58.7
9.
Problem 9: 4 TENTHS + 23 ONES
- 4 TENTHS = 0.4
- 23 ONES = 23
- Total: \( 0.4 + 23 = 23.4 \)
-
Answer: 23.4
10.
Problem 10: 8 HUNDREDS + 7 TENTHS + 3 TENS
- 8 HUNDREDS = 800
- 7 TENTHS = 0.7
- 3 TENS = 30
- Total: \( 800 + 0.7 + 30 = 830.7 \)
-
Answer: 830.7
11.
Problem 11: 6 TENTHS + 9 ONES + 4 HUNDREDS
- 6 TENTHS = 0.6
- 9 ONES = 9
- 4 HUNDREDS = 400
- Total: \( 0.6 + 9 + 400 = 409.6 \)
-
Answer: 409.6
12.
Problem 12: 15 TENS + 8 TENTHS
- 15 TENS = 150
- 8 TENTHS = 0.8
- Total: \( 150 + 0.8 = 150.8 \)
-
Answer: 150.8
13.
Problem 13: 2 HUNDREDS + 4 TENTHS + 3 ONES
- 2 HUNDREDS = 200
- 4 TENTHS = 0.4
- 3 ONES = 3
- Total: \( 200 + 0.4 + 3 = 203.4 \)
-
Answer: 203.4
14.
Problem 14: 7 TENS + 9 TENTHS + 2 HUNDREDS
- 7 TENS = 70
- 9 TENTHS = 0.9
- 2 HUNDREDS = 200
- Total: \( 70 + 0.9 + 200 = 270.9 \)
-
Answer: 270.9
15.
Problem 15: 5 ONES + 8 TENS + 9 TENTHS
- 5 ONES = 5
- 8 TENS = 80
- 9 TENTHS = 0.9
- Total: \( 5 + 80 + 0.9 = 85.9 \)
-
Answer: 85.9
16.
Problem 16: 6 HUNDREDS + 7 TENTHS
- 6 HUNDREDS = 600
- 7 TENTHS = 0.7
- Total: \( 600 + 0.7 = 600.7 \)
-
Answer: 600.7
17.
Problem 17: 24 TENTHS
- 24 TENTHS = 2.4 (since 10 tenths = 1 whole)
-
Answer: 2.4
18.
Problem 18: 5 HUNDREDS + 9 TENTHS + 2 ONES
- 5 HUNDREDS = 500
- 9 TENTHS = 0.9
- 2 ONES = 2
- Total: \( 500 + 0.9 + 2 = 502.9 \)
-
Answer: 502.9
Final Answers:
\[
\boxed{
\begin{array}{ccc}
\text{1) } 82.6 & \text{2) } 78.9 & \text{3) } 80.8 \\
\text{4) } 47.8 & \text{5) } 51.7 & \text{6) } 143.9 \\
\text{7) } 47.9 & \text{8) } 58.7 & \text{9) } 23.4 \\
\text{10) } 830.7 & \text{11) } 409.6 & \text{12) } 150.8 \\
\text{13) } 203.4 & \text{14) } 270.9 & \text{15) } 85.9 \\
\text{16) } 600.7 & \text{17) } 2.4 & \text{18) } 502.9 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal place value worksheets.
