Grade 6 Dividing Decimals Worksheet with 20 problems to find quotients.

Problem Description:

The task involves solving a series of decimal division problems where the quotients are whole numbers. The goal is to divide each pair of decimals and find the quotient.

Solution Approach:

To solve these problems, we will:
1. Understand the Division Process: When dividing decimals, we can eliminate the decimal points by multiplying both the dividend and divisor by a power of 10 that makes the divisor a whole number.
2. Perform the Division: Once the divisor is a whole number, perform the division as usual.
3. Verify the Quotient: Ensure the result is a whole number, as specified in the problem.

Let's solve each problem step by step.

---

Problem 1: \( 0.55 \div 0.05 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100 (since there are 2 decimal places in the divisor).
\[
0.55 \times 100 = 55, \quad 0.05 \times 100 = 5
\]
- Step 2: Perform the division.
\[
55 \div 5 = 11
\]
- Answer: \( 11 \)

---

Problem 2: \( 0.66 \div 0.03 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.66 \times 100 = 66, \quad 0.03 \times 100 = 3
\]
- Step 2: Perform the division.
\[
66 \div 3 = 22
\]
- Answer: \( 22 \)

---

Problem 3: \( 0.63 \div 0.07 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.63 \times 100 = 63, \quad 0.07 \times 100 = 7
\]
- Step 2: Perform the division.
\[
63 \div 7 = 9
\]
- Answer: \( 9 \)

---

Problem 4: \( 0.75 \div 0.025 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 1000 (since there are 3 decimal places in the divisor).
\[
0.75 \times 1000 = 750, \quad 0.025 \times 1000 = 25
\]
- Step 2: Perform the division.
\[
750 \div 25 = 30
\]
- Answer: \( 30 \)

---

Problem 5: \( 0.48 \div 0.01 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.48 \times 100 = 48, \quad 0.01 \times 100 = 1
\]
- Step 2: Perform the division.
\[
48 \div 1 = 48
\]
- Answer: \( 48 \)

---

Problem 6: \( 0.56 \div 0.02 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.56 \times 100 = 56, \quad 0.02 \times 100 = 2
\]
- Step 2: Perform the division.
\[
56 \div 2 = 28
\]
- Answer: \( 28 \)

---

Problem 7: \( 0.42 \div 0.07 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.42 \times 100 = 42, \quad 0.07 \times 100 = 7
\]
- Step 2: Perform the division.
\[
42 \div 7 = 6
\]
- Answer: \( 6 \)

---

Problem 8: \( 0.81 \div 0.09 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.81 \times 100 = 81, \quad 0.09 \times 100 = 9
\]
- Step 2: Perform the division.
\[
81 \div 9 = 9
\]
- Answer: \( 9 \)

---

Problem 9: \( 0.22 \div 0.044 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 1000.
\[
0.22 \times 1000 = 220, \quad 0.044 \times 1000 = 44
\]
- Step 2: Perform the division.
\[
220 \div 44 = 5
\]
- Answer: \( 5 \)

---

Problem 10: \( 0.36 \div 0.04 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.36 \times 100 = 36, \quad 0.04 \times 100 = 4
\]
- Step 2: Perform the division.
\[
36 \div 4 = 9
\]
- Answer: \( 9 \)

---

Problem 11: \( 0.46 \div 0.02 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.46 \times 100 = 46, \quad 0.02 \times 100 = 2
\]
- Step 2: Perform the division.
\[
46 \div 2 = 23
\]
- Answer: \( 23 \)

---

Problem 12: \( 0.35 \div 0.005 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 1000.
\[
0.35 \times 1000 = 350, \quad 0.005 \times 1000 = 5
\]
- Step 2: Perform the division.
\[
350 \div 5 = 70
\]
- Answer: \( 70 \)

---

Problem 13: \( 0.54 \div 0.06 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.54 \times 100 = 54, \quad 0.06 \times 100 = 6
\]
- Step 2: Perform the division.
\[
54 \div 6 = 9
\]
- Answer: \( 9 \)

---

Problem 14: \( 0.96 \div 0.08 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.96 \times 100 = 96, \quad 0.08 \times 100 = 8
\]
- Step 2: Perform the division.
\[
96 \div 8 = 12
\]
- Answer: \( 12 \)

---

Problem 15: \( 0.83 \div 0.415 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 1000.
\[
0.83 \times 1000 = 830, \quad 0.415 \times 1000 = 415
\]
- Step 2: Perform the division.
\[
830 \div 415 = 2
\]
- Answer: \( 2 \)

---

Problem 16: \( 0.24 \div 0.06 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.24 \times 100 = 24, \quad 0.06 \times 100 = 6
\]
- Step 2: Perform the division.
\[
24 \div 6 = 4
\]
- Answer: \( 4 \)

---

Problem 17: \( 0.36 \div 0.09 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.36 \times 100 = 36, \quad 0.09 \times 100 = 9
\]
- Step 2: Perform the division.
\[
36 \div 9 = 4
\]
- Answer: \( 4 \)

---

Problem 18: \( 0.72 \div 0.008 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 1000.
\[
0.72 \times 1000 = 720, \quad 0.008 \times 1000 = 8
\]
- Step 2: Perform the division.
\[
720 \div 8 = 90
\]
- Answer: \( 90 \)

---

Problem 19: \( 0.14 \div 0.07 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.14 \times 100 = 14, \quad 0.07 \times 100 = 7
\]
- Step 2: Perform the division.
\[
14 \div 7 = 2
\]
- Answer: \( 2 \)

---

Problem 20: \( 0.35 \div 0.07 \)

- Step 1: Eliminate the decimal by multiplying both numbers by 100.
\[
0.35 \times 100 = 35, \quad 0.07 \times 100 = 7
\]
- Step 2: Perform the division.
\[
35 \div 7 = 5
\]
- Answer: \( 5 \)

---

Final Answer:

\[
\boxed{
\begin{array}{ll}
1. & 11 \\
2. & 22 \\
3. & 9 \\
4. & 30 \\
5. & 48 \\
6. & 28 \\
7. & 6 \\
8. & 9 \\
9. & 5 \\
10. & 9 \\
11. & 23 \\
12. & 70 \\
13. & 9 \\
14. & 12 \\
15. & 2 \\
16. & 4 \\
17. & 4 \\
18. & 90 \\
19. & 2 \\
20. & 5 \\
\end{array}
}
\]