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Place Value: Tenths Sheet 5 - A math worksheet with 40 addition problems focusing on tenths place value, designed for practice and learning.

Math worksheet titled "Place Value: Tenths Sheet 5" with 40 problems involving addition of decimals and whole numbers, featuring a salamander logo and instructions to use place value knowledge.

Math worksheet titled "Place Value: Tenths Sheet 5" with 40 problems involving addition of decimals and whole numbers, featuring a salamander logo and instructions to use place value knowledge.

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Show Answer Key & Explanations Step-by-step solution for: Decimal Place Value Worksheets 4th Grade

Problem Overview:


The task involves solving addition problems that involve place values, specifically focusing on tenths (decimal numbers). The goal is to calculate the totals or find the missing numbers in each equation. We will solve all 40 problems step by step.

---

Part 1: Solving Addition Problems (Questions 1–20)



#### Question 1: \( 4 + 0.3 = \)
- Add the whole number and the decimal:
\[
4 + 0.3 = 4.3
\]
- Answer: \( 4.3 \)

#### Question 2: \( 7 + 0.8 = \)
- Add the whole number and the decimal:
\[
7 + 0.8 = 7.8
\]
- Answer: \( 7.8 \)

#### Question 3: \( 1 + 0.2 = \)
- Add the whole number and the decimal:
\[
1 + 0.2 = 1.2
\]
- Answer: \( 1.2 \)

#### Question 4: \( 10 + 5 + 0.3 = \)
- Add the whole numbers first, then add the decimal:
\[
10 + 5 = 15
\]
\[
15 + 0.3 = 15.3
\]
- Answer: \( 15.3 \)

#### Question 5: \( 70 + 4 + 0.5 = \)
- Add the whole numbers first, then add the decimal:
\[
70 + 4 = 74
\]
\[
74 + 0.5 = 74.5
\]
- Answer: \( 74.5 \)

#### Question 6: \( 80 + 0.9 = \)
- Add the whole number and the decimal:
\[
80 + 0.9 = 80.9
\]
- Answer: \( 80.9 \)

#### Question 7: \( 40 + 5 + 0.3 = \)
- Add the whole numbers first, then add the decimal:
\[
40 + 5 = 45
\]
\[
45 + 0.3 = 45.3
\]
- Answer: \( 45.3 \)

#### Question 8: \( 10 + 0.6 + 4 = \)
- Add the whole numbers first, then add the decimal:
\[
10 + 4 = 14
\]
\[
14 + 0.6 = 14.6
\]
- Answer: \( 14.6 \)

#### Question 9: \( 30 + 0.2 + 7 = \)
- Add the whole numbers first, then add the decimal:
\[
30 + 7 = 37
\]
\[
37 + 0.2 = 37.2
\]
- Answer: \( 37.2 \)

#### Question 10: \( 100 + 0.8 + 5 = \)
- Add the whole numbers first, then add the decimal:
\[
100 + 5 = 105
\]
\[
105 + 0.8 = 105.8
\]
- Answer: \( 105.8 \)

#### Question 11: \( 0.4 + 7 + 50 = \)
- Add the whole numbers first, then add the decimal:
\[
7 + 50 = 57
\]
\[
57 + 0.4 = 57.4
\]
- Answer: \( 57.4 \)

#### Question 12: \( 0.9 + 20 + 6 = \)
- Add the whole numbers first, then add the decimal:
\[
20 + 6 = 26
\]
\[
26 + 0.9 = 26.9
\]
- Answer: \( 26.9 \)

#### Question 13: \( 50 + 0.5 + 9 = \)
- Add the whole numbers first, then add the decimal:
\[
50 + 9 = 59
\]
\[
59 + 0.5 = 59.5
\]
- Answer: \( 59.5 \)

#### Question 14: \( 100 + 0.2 + 26 = \)
- Add the whole numbers first, then add the decimal:
\[
100 + 26 = 126
\]
\[
126 + 0.2 = 126.2
\]
- Answer: \( 126.2 \)

#### Question 15: \( 71 + 200 + 0.8 = \)
- Add the whole numbers first, then add the decimal:
\[
71 + 200 = 271
\]
\[
271 + 0.8 = 271.8
\]
- Answer: \( 271.8 \)

#### Question 16: \( 50 + 7.8 = \)
- Add the whole number and the decimal:
\[
50 + 7.8 = 57.8
\]
- Answer: \( 57.8 \)

#### Question 17: \( 70 + 2.5 = \)
- Add the whole number and the decimal:
\[
70 + 2.5 = 72.5
\]
- Answer: \( 72.5 \)

#### Question 18: \( 30.6 + 7 = \)
- Add the decimal and the whole number:
\[
30.6 + 7 = 37.6
\]
- Answer: \( 37.6 \)

#### Question 19: \( 40.2 + 3 = \)
- Add the decimal and the whole number:
\[
40.2 + 3 = 43.2
\]
- Answer: \( 43.2 \)

#### Question 20: \( 107 + 80.6 = \)
- Add the whole number and the decimal:
\[
107 + 80.6 = 187.6
\]
- Answer: \( 187.6 \)

---

Part 2: Finding Missing Numbers (Questions 21–40)



#### Question 21: \( 10 + \_\_ + 4 = 14.6 \)
- Let the missing number be \( x \):
\[
10 + x + 4 = 14.6
\]
\[
14 + x = 14.6
\]
\[
x = 14.6 - 14
\]
\[
x = 0.6
\]
- Answer: \( 0.6 \)

#### Question 22: \( 70 + 8 + \_\_ = 78.7 \)
- Let the missing number be \( x \):
\[
70 + 8 + x = 78.7
\]
\[
78 + x = 78.7
\]
\[
x = 78.7 - 78
\]
\[
x = 0.7
\]
- Answer: \( 0.7 \)

#### Question 23: \( 100 + 52 + \_\_ = 152.2 \)
- Let the missing number be \( x \):
\[
100 + 52 + x = 152.2
\]
\[
152 + x = 152.2
\]
\[
x = 152.2 - 152
\]
\[
x = 0.2
\]
- Answer: \( 0.2 \)

#### Question 24: \( 0.3 + \_\_ + 200 = 240.3 \)
- Let the missing number be \( x \):
\[
0.3 + x + 200 = 240.3
\]
\[
200.3 + x = 240.3
\]
\[
x = 240.3 - 200.3
\]
\[
x = 40
\]
- Answer: \( 40 \)

#### Question 25: \( 0.6 + 90 + \_\_ = 96.6 \)
- Let the missing number be \( x \):
\[
0.6 + 90 + x = 96.6
\]
\[
90.6 + x = 96.6
\]
\[
x = 96.6 - 90.6
\]
\[
x = 6
\]
- Answer: \( 6 \)

#### Question 26: \( 52 + \_\_ + 100 = 152.7 \)
- Let the missing number be \( x \):
\[
52 + x + 100 = 152.7
\]
\[
152 + x = 152.7
\]
\[
x = 152.7 - 152
\]
\[
x = 0.7
\]
- Answer: \( 0.7 \)

#### Question 27: \( 30 + 0.8 + \_\_ = 230.8 \)
- Let the missing number be \( x \):
\[
30 + 0.8 + x = 230.8
\]
\[
30.8 + x = 230.8
\]
\[
x = 230.8 - 30.8
\]
\[
x = 200
\]
- Answer: \( 200 \)

#### Question 28: \( 70.5 + 100 + \_\_ = 172.5 \)
- Let the missing number be \( x \):
\[
70.5 + 100 + x = 172.5
\]
\[
170.5 + x = 172.5
\]
\[
x = 172.5 - 170.5
\]
\[
x = 2
\]
- Answer: \( 2 \)

#### Question 29: \( 200 + 50.6 + \_\_ = 259.6 \)
- Let the missing number be \( x \):
\[
200 + 50.6 + x = 259.6
\]
\[
250.6 + x = 259.6
\]
\[
x = 259.6 - 250.6
\]
\[
x = 9
\]
- Answer: \( 9 \)

#### Question 30: \( \_\_ + 6.7 + 100 = 176.7 \)
- Let the missing number be \( x \):
\[
x + 6.7 + 100 = 176.7
\]
\[
x + 106.7 = 176.7
\]
\[
x = 176.7 - 106.7
\]
\[
x = 70
\]
- Answer: \( 70 \)

#### Question 31: \( 8.3 + \_\_ + 40 = 848.3 \)
- Let the missing number be \( x \):
\[
8.3 + x + 40 = 848.3
\]
\[
48.3 + x = 848.3
\]
\[
x = 848.3 - 48.3
\]
\[
x = 800
\]
- Answer: \( 800 \)

#### Question 32: \( 80 + 300 + \_\_ = 382.4 \)
- Let the missing number be \( x \):
\[
80 + 300 + x = 382.4
\]
\[
380 + x = 382.4
\]
\[
x = 382.4 - 380
\]
\[
x = 2.4
\]
- Answer: \( 2.4 \)

#### Question 33: \( 600 + 90 + \_\_ = 698.6 \)
- Let the missing number be \( x \):
\[
600 + 90 + x = 698.6
\]
\[
690 + x = 698.6
\]
\[
x = 698.6 - 690
\]
\[
x = 8.6
\]
- Answer: \( 8.6 \)

#### Question 34: \( 720 + \_\_ = 727.9 \)
- Let the missing number be \( x \):
\[
720 + x = 727.9
\]
\[
x = 727.9 - 720
\]
\[
x = 7.9
\]
- Answer: \( 7.9 \)

#### Question 35: \( \_\_ + 130 = 135.7 \)
- Let the missing number be \( x \):
\[
x + 130 = 135.7
\]
\[
x = 135.7 - 130
\]
\[
x = 5.7
\]
- Answer: \( 5.7 \)

#### Question 36: \( 200 + \_\_ = 247.6 \)
- Let the missing number be \( x \):
\[
200 + x = 247.6
\]
\[
x = 247.6 - 200
\]
\[
x = 47.6
\]
- Answer: \( 47.6 \)

#### Question 37: \( 700 + \_\_ = 781.3 \)
- Let the missing number be \( x \):
\[
700 + x = 781.3
\]
\[
x = 781.3 - 700
\]
\[
x = 81.3
\]
- Answer: \( 81.3 \)

#### Question 38: \( \_\_ + 8 = 68.2 \)
- Let the missing number be \( x \):
\[
x + 8 = 68.2
\]
\[
x = 68.2 - 8
\]
\[
x = 60.2
\]
- Answer: \( 60.2 \)

#### Question 39: \( 9 + \_\_ = 129.5 \)
- Let the missing number be \( x \):
\[
9 + x = 129.5
\]
\[
x = 129.5 - 9
\]
\[
x = 120.5
\]
- Answer: \( 120.5 \)

#### Question 40: \( 200.6 + \_\_ = 257.6 \)
- Let the missing number be \( x \):
\[
200.6 + x = 257.6
\]
\[
x = 257.6 - 200.6
\]
\[
x = 57
\]
- Answer: \( 57 \)

---

Final Answers:


\[
\boxed{
\begin{array}{ll}
1. & 4.3 \\
2. & 7.8 \\
3. & 1.2 \\
4. & 15.3 \\
5. & 74.5 \\
6. & 80.9 \\
7. & 45.3 \\
8. & 14.6 \\
9. & 37.2 \\
10. & 105.8 \\
11. & 57.4 \\
12. & 26.9 \\
13. & 59.5 \\
14. & 126.2 \\
15. & 271.8 \\
16. & 57.8 \\
17. & 72.5 \\
18. & 37.6 \\
19. & 43.2 \\
20. & 187.6 \\
21. & 0.6 \\
22. & 0.7 \\
23. & 0.2 \\
24. & 40 \\
25. & 6 \\
26. & 0.7 \\
27. & 200 \\
28. & 2 \\
29. & 9 \\
30. & 70 \\
31. & 800 \\
32. & 2.4 \\
33. & 8.6 \\
34. & 7.9 \\
35. & 5.7 \\
36. & 47.6 \\
37. & 81.3 \\
38. & 60.2 \\
39. & 120.5 \\
40. & 57 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal place value practice worksheet.
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