Grade 5 Math Worksheets: Divide decimals by whole numbers (1-9 ... - Free Printable

Problem Description:

The task involves solving decimal division problems where the divisor is a 1-digit whole number. The instructions specify that no rounding is required. We need to calculate the quotient for each problem.

Solution:

#### Problem 1: \( 7 \div 0.224 \)
To solve \( 7 \div 0.224 \):
1. Rewrite the division as a fraction: \( \frac{7}{0.224} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 1000 (since there are 3 decimal places in 0.224):
\[
\frac{7 \times 1000}{0.224 \times 1000} = \frac{7000}{224}
\]
3. Perform the division \( 7000 \div 224 \):
- \( 224 \times 31 = 6944 \)
- Remainder: \( 7000 - 6944 = 56 \)
- Add a decimal point and continue dividing:
\[
560 \div 224 = 2.5
\]
- Therefore, \( 7000 \div 224 = 31.25 \).

Answer: \( 31.25 \)

---

#### Problem 2: \( 6 \div 73.002 \)
To solve \( 6 \div 73.002 \):
1. Rewrite the division as a fraction: \( \frac{6}{73.002} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 1000:
\[
\frac{6 \times 1000}{73.002 \times 1000} = \frac{6000}{73002}
\]
3. Perform the division \( 6000 \div 73002 \):
- Since 6000 is much smaller than 73002, the quotient will be less than 1.
- Perform long division or use a calculator:
\[
6000 \div 73002 \approx 0.08218
\]

Answer: \( 0.08218 \)

---

#### Problem 3: \( 6 \div 0.042 \)
To solve \( 6 \div 0.042 \):
1. Rewrite the division as a fraction: \( \frac{6}{0.042} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 1000:
\[
\frac{6 \times 1000}{0.042 \times 1000} = \frac{6000}{42}
\]
3. Perform the division \( 6000 \div 42 \):
- \( 42 \times 142 = 5964 \)
- Remainder: \( 6000 - 5964 = 36 \)
- Add a decimal point and continue dividing:
\[
360 \div 42 = 8.5714...
\]
- Therefore, \( 6000 \div 42 = 142.8571... \).

Answer: \( 142.8571 \)

---

#### Problem 4: \( 6 \div 0.768 \)
To solve \( 6 \div 0.768 \):
1. Rewrite the division as a fraction: \( \frac{6}{0.768} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 1000:
\[
\frac{6 \times 1000}{0.768 \times 1000} = \frac{6000}{768}
\]
3. Perform the division \( 6000 \div 768 \):
- \( 768 \times 7 = 5376 \)
- Remainder: \( 6000 - 5376 = 624 \)
- Add a decimal point and continue dividing:
\[
6240 \div 768 = 8.125
\]
- Therefore, \( 6000 \div 768 = 7.8125 \).

Answer: \( 7.8125 \)

---

#### Problem 5: \( 8 \div 0.04 \)
To solve \( 8 \div 0.04 \):
1. Rewrite the division as a fraction: \( \frac{8}{0.04} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 100:
\[
\frac{8 \times 100}{0.04 \times 100} = \frac{800}{4}
\]
3. Perform the division \( 800 \div 4 \):
- \( 800 \div 4 = 200 \).

Answer: \( 200 \)

---

#### Problem 6: \( 2 \div 34.16 \)
To solve \( 2 \div 34.16 \):
1. Rewrite the division as a fraction: \( \frac{2}{34.16} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 100:
\[
\frac{2 \times 100}{34.16 \times 100} = \frac{200}{3416}
\]
3. Perform the division \( 200 \div 3416 \):
- Since 200 is much smaller than 3416, the quotient will be less than 1.
- Perform long division or use a calculator:
\[
200 \div 3416 \approx 0.05855
\]

Answer: \( 0.05855 \)

---

#### Problem 7: \( 2 \div 0.06 \)
To solve \( 2 \div 0.06 \):
1. Rewrite the division as a fraction: \( \frac{2}{0.06} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 100:
\[
\frac{2 \times 100}{0.06 \times 100} = \frac{200}{6}
\]
3. Perform the division \( 200 \div 6 \):
- \( 6 \times 33 = 198 \)
- Remainder: \( 200 - 198 = 2 \)
- Add a decimal point and continue dividing:
\[
20 \div 6 = 3.3333...
\]
- Therefore, \( 200 \div 6 = 33.3333... \).

Answer: \( 33.3333 \)

---

#### Problem 8: \( 7 \div 6.3 \)
To solve \( 7 \div 6.3 \):
1. Rewrite the division as a fraction: \( \frac{7}{6.3} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 10:
\[
\frac{7 \times 10}{6.3 \times 10} = \frac{70}{63}
\]
3. Perform the division \( 70 \div 63 \):
- \( 63 \times 1 = 63 \)
- Remainder: \( 70 - 63 = 7 \)
- Add a decimal point and continue dividing:
\[
70 \div 63 = 1.1111...
\]

Answer: \( 1.1111 \)

---

#### Problem 9: \( 8 \div 5.064 \)
To solve \( 8 \div 5.064 \):
1. Rewrite the division as a fraction: \( \frac{8}{5.064} \).
2. Eliminate the decimal by multiplying both numerator and denominator by 1000:
\[
\frac{8 \times 1000}{5.064 \times 1000} = \frac{8000}{5064}
\]
3. Perform the division \( 8000 \div 5064 \):
- \( 5064 \times 1 = 5064 \)
- Remainder: \( 8000 - 5064 = 2936 \)
- Add a decimal point and continue dividing:
\[
29360 \div 5064 \approx 5.8
\]
- Therefore, \( 8000 \div 5064 \approx 1.579 \).

Answer: \( 1.579 \)

---

Final Answers:

\[
\boxed{
\begin{aligned}
1. & \ 31.25 \\
2. & \ 0.08218 \\
3. & \ 142.8571 \\
4. & \ 7.8125 \\
5. & \ 200 \\
6. & \ 0.05855 \\
7. & \ 33.3333 \\
8. & \ 1.1111 \\
9. & \ 1.579 \\
\end{aligned}
}
\]