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Dividing Decimals worksheet with ten problems for practicing division involving decimal numbers.

A worksheet titled "Dividing Decimals" with ten math problems involving division of decimal numbers, including examples like 81 ÷ 0.9 and 0.016 ÷ 0.02, designed for educational practice.

A worksheet titled "Dividing Decimals" with ten math problems involving division of decimal numbers, including examples like 81 ÷ 0.9 and 0.016 ÷ 0.02, designed for educational practice.

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Show Answer Key & Explanations Step-by-step solution for: Decimal- Dividing Decimals by Decimals worksheet

Problem: Solve the given division problems involving decimals.



The task involves dividing decimals. Here are the steps to solve each problem:

---

#### 1) \( 81 \div 0.9 \)

- To simplify the division, eliminate the decimal by multiplying both the numerator and the denominator by 10:
\[
81 \div 0.9 = \frac{81}{0.9} = \frac{81 \times 10}{0.9 \times 10} = \frac{810}{9}
\]
- Now, divide 810 by 9:
\[
810 \div 9 = 90
\]

Answer:
\[
\boxed{90}
\]

---

#### 2) \( 0.016 \div 0.02 \)

- Eliminate the decimals by multiplying both the numerator and the denominator by 100:
\[
0.016 \div 0.02 = \frac{0.016}{0.02} = \frac{0.016 \times 100}{0.02 \times 100} = \frac{1.6}{2}
\]
- Now, divide 1.6 by 2:
\[
1.6 \div 2 = 0.8
\]

Answer:
\[
\boxed{0.8}
\]

---

#### 3) \( 1.86 \div 3 \)

- Divide 1.86 by 3 directly:
\[
1.86 \div 3 = 0.62
\]

Answer:
\[
\boxed{0.62}
\]

---

#### 4) \( 20.86 \div 0.2 \)

- Eliminate the decimal by multiplying both the numerator and the denominator by 10:
\[
20.86 \div 0.2 = \frac{20.86}{0.2} = \frac{20.86 \times 10}{0.2 \times 10} = \frac{208.6}{2}
\]
- Now, divide 208.6 by 2:
\[
208.6 \div 2 = 104.3
\]

Answer:
\[
\boxed{104.3}
\]

---

#### 5) \( 10.47 \div 0.03 \)

- Eliminate the decimals by multiplying both the numerator and the denominator by 100:
\[
10.47 \div 0.03 = \frac{10.47}{0.03} = \frac{10.47 \times 100}{0.03 \times 100} = \frac{1047}{3}
\]
- Now, divide 1047 by 3:
\[
1047 \div 3 = 349
\]

Answer:
\[
\boxed{349}
\]

---

#### 6) \( 6.3 \div 7 \)

- Divide 6.3 by 7 directly:
\[
6.3 \div 7 = 0.9
\]

Answer:
\[
\boxed{0.9}
\]

---

#### 7) \( 23.580 \div 0.20 \)

- Eliminate the decimals by multiplying both the numerator and the denominator by 100:
\[
23.580 \div 0.20 = \frac{23.580}{0.20} = \frac{23.580 \times 100}{0.20 \times 100} = \frac{2358}{20}
\]
- Now, divide 2358 by 20:
\[
2358 \div 20 = 117.9
\]

Answer:
\[
\boxed{117.9}
\]

---

#### 8) \( 11.5213 \div 0.7 \)

- Eliminate the decimal by multiplying both the numerator and the denominator by 10:
\[
11.5213 \div 0.7 = \frac{11.5213}{0.7} = \frac{11.5213 \times 10}{0.7 \times 10} = \frac{115.213}{7}
\]
- Now, divide 115.213 by 7:
\[
115.213 \div 7 = 16.459
\]

Answer:
\[
\boxed{16.459}
\]

---

#### 9) \( 1.2642 \div 0.003 \)

- Eliminate the decimals by multiplying both the numerator and the denominator by 1000:
\[
1.2642 \div 0.003 = \frac{1.2642}{0.003} = \frac{1.2642 \times 1000}{0.003 \times 1000} = \frac{1264.2}{3}
\]
- Now, divide 1264.2 by 3:
\[
1264.2 \div 3 = 421.4
\]

Answer:
\[
\boxed{421.4}
\]

---

#### 10) \( 20 \div 0.005 \)

- Eliminate the decimals by multiplying both the numerator and the denominator by 1000:
\[
20 \div 0.005 = \frac{20}{0.005} = \frac{20 \times 1000}{0.005 \times 1000} = \frac{20000}{5}
\]
- Now, divide 20000 by 5:
\[
20000 \div 5 = 4000
\]

Answer:
\[
\boxed{4000}
\]

---

Final Answers:


\[
\boxed{90, 0.8, 0.62, 104.3, 349, 0.9, 117.9, 16.459, 421.4, 4000}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal division worksheet pdf.
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