Printable worksheet for practicing division of decimal numbers, featuring 14 problems and a fun design.
Worksheet titled "Divide Decimal Numbers" with 14 decimal division problems, a space for name, and a smiley face, published by SplashLearn.
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Show Answer Key & Explanations
Step-by-step solution for: Divide Decimal Numbers without Remainder: Horizontal Division ...
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Show Answer Key & Explanations
Step-by-step solution for: Divide Decimal Numbers without Remainder: Horizontal Division ...
To solve the division problems involving decimal numbers, we can follow these steps:
1. Adjust the divisor to a whole number: Multiply both the dividend and the divisor by the same power of 10 to eliminate the decimal in the divisor.
2. Perform the division: Divide the adjusted numbers as you would with whole numbers.
3. Place the decimal point: The decimal point in the quotient will be directly above the decimal point in the dividend.
Let's solve each problem step by step:
---
- Adjust the divisor: Multiply both numbers by 100 (to make the divisor a whole number).
\[
3.80 \times 100 = 380, \quad 0.38 \times 100 = 38
\]
- Perform the division:
\[
380 \div 38 = 10
\]
- Answer:
\[
3.80 \div 0.38 = 10
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
4.95 \times 100 = 495, \quad 0.15 \times 100 = 15
\]
- Perform the division:
\[
495 \div 15 = 33
\]
- Answer:
\[
4.95 \div 0.15 = 33
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
4.96 \times 100 = 496, \quad 0.31 \times 100 = 31
\]
- Perform the division:
\[
496 \div 31 = 16
\]
- Answer:
\[
4.96 \div 0.31 = 16
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
1.60 \times 100 = 160, \quad 0.16 \times 100 = 16
\]
- Perform the division:
\[
160 \div 16 = 10
\]
- Answer:
\[
1.60 \div 0.16 = 10
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
6.72 \times 100 = 672, \quad 0.42 \times 100 = 42
\]
- Perform the division:
\[
672 \div 42 = 16
\]
- Answer:
\[
6.72 \div 0.42 = 16
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
74.5 \times 100 = 7450, \quad 0.05 \times 100 = 5
\]
- Perform the division:
\[
7450 \div 5 = 1490
\]
- Answer:
\[
74.5 \div 0.05 = 1490
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
8.25 \times 100 = 825, \quad 0.25 \times 100 = 25
\]
- Perform the division:
\[
825 \div 25 = 33
\]
- Answer:
\[
8.25 \div 0.25 = 33
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
90.0 \times 100 = 9000, \quad 0.12 \times 100 = 12
\]
- Perform the division:
\[
9000 \div 12 = 750
\]
- Answer:
\[
90.0 \div 0.12 = 750
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
18.9 \times 100 = 1890, \quad 0.27 \times 100 = 27
\]
- Perform the division:
\[
1890 \div 27 = 70
\]
- Answer:
\[
18.9 \div 0.27 = 70
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
22.4 \times 100 = 2240, \quad 0.08 \times 100 = 8
\]
- Perform the division:
\[
2240 \div 8 = 280
\]
- Answer:
\[
22.4 \div 0.08 = 280
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
40.5 \times 100 = 4050, \quad 0.45 \times 100 = 45
\]
- Perform the division:
\[
4050 \div 45 = 90
\]
- Answer:
\[
40.5 \div 0.45 = 90
\]
---
- Adjust the divisor: Multiply both numbers by 10.
\[
96.4 \times 10 = 964, \quad 0.2 \times 10 = 2
\]
- Perform the division:
\[
964 \div 2 = 482
\]
- Answer:
\[
96.4 \div 0.2 = 482
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
74.8 \times 100 = 7480, \quad 0.22 \times 100 = 22
\]
- Perform the division:
\[
7480 \div 22 = 340
\]
- Answer:
\[
74.8 \div 0.22 = 340
\]
---
- Adjust the divisor: Multiply both numbers by 10.
\[
79.2 \times 10 = 792, \quad 1.1 \times 10 = 11
\]
- Perform the division:
\[
792 \div 11 = 72
\]
- Answer:
\[
79.2 \div 1.1 = 72
\]
---
- Adjust the divisor: Multiply both numbers by 100.
\[
3.91 \times 100 = 391, \quad 0.17 \times 100 = 17
\]
- Perform the division:
\[
391 \div 17 = 23
\]
- Answer:
\[
3.91 \div 0.17 = 23
\]
---
- Adjust the divisor: Multiply both numbers by 10.
\[
58.8 \times 10 = 588, \quad 1.2 \times 10 = 12
\]
- Perform the division:
\[
588 \div 12 = 49
\]
- Answer:
\[
58.8 \div 1.2 = 49
\]
---
\[
\boxed{
\begin{array}{ll}
3.80 \div 0.38 = 10 & 4.95 \div 0.15 = 33 \\
4.96 \div 0.31 = 16 & 1.60 \div 0.16 = 10 \\
6.72 \div 0.42 = 16 & 74.5 \div 0.05 = 1490 \\
8.25 \div 0.25 = 33 & 90.0 \div 0.12 = 750 \\
18.9 \div 0.27 = 70 & 22.4 \div 0.08 = 280 \\
40.5 \div 0.45 = 90 & 96.4 \div 0.2 = 482 \\
74.8 \div 0.22 = 340 & 79.2 \div 1.1 = 72 \\
3.91 \div 0.17 = 23 & 58.8 \div 1.2 = 49 \\
\end{array}
}
\]
1. Adjust the divisor to a whole number: Multiply both the dividend and the divisor by the same power of 10 to eliminate the decimal in the divisor.
2. Perform the division: Divide the adjusted numbers as you would with whole numbers.
3. Place the decimal point: The decimal point in the quotient will be directly above the decimal point in the dividend.
Let's solve each problem step by step:
---
Problem 1: \( 3.80 \div 0.38 \)
- Adjust the divisor: Multiply both numbers by 100 (to make the divisor a whole number).
\[
3.80 \times 100 = 380, \quad 0.38 \times 100 = 38
\]
- Perform the division:
\[
380 \div 38 = 10
\]
- Answer:
\[
3.80 \div 0.38 = 10
\]
---
Problem 2: \( 4.95 \div 0.15 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
4.95 \times 100 = 495, \quad 0.15 \times 100 = 15
\]
- Perform the division:
\[
495 \div 15 = 33
\]
- Answer:
\[
4.95 \div 0.15 = 33
\]
---
Problem 3: \( 4.96 \div 0.31 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
4.96 \times 100 = 496, \quad 0.31 \times 100 = 31
\]
- Perform the division:
\[
496 \div 31 = 16
\]
- Answer:
\[
4.96 \div 0.31 = 16
\]
---
Problem 4: \( 1.60 \div 0.16 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
1.60 \times 100 = 160, \quad 0.16 \times 100 = 16
\]
- Perform the division:
\[
160 \div 16 = 10
\]
- Answer:
\[
1.60 \div 0.16 = 10
\]
---
Problem 5: \( 6.72 \div 0.42 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
6.72 \times 100 = 672, \quad 0.42 \times 100 = 42
\]
- Perform the division:
\[
672 \div 42 = 16
\]
- Answer:
\[
6.72 \div 0.42 = 16
\]
---
Problem 6: \( 74.5 \div 0.05 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
74.5 \times 100 = 7450, \quad 0.05 \times 100 = 5
\]
- Perform the division:
\[
7450 \div 5 = 1490
\]
- Answer:
\[
74.5 \div 0.05 = 1490
\]
---
Problem 7: \( 8.25 \div 0.25 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
8.25 \times 100 = 825, \quad 0.25 \times 100 = 25
\]
- Perform the division:
\[
825 \div 25 = 33
\]
- Answer:
\[
8.25 \div 0.25 = 33
\]
---
Problem 8: \( 90.0 \div 0.12 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
90.0 \times 100 = 9000, \quad 0.12 \times 100 = 12
\]
- Perform the division:
\[
9000 \div 12 = 750
\]
- Answer:
\[
90.0 \div 0.12 = 750
\]
---
Problem 9: \( 18.9 \div 0.27 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
18.9 \times 100 = 1890, \quad 0.27 \times 100 = 27
\]
- Perform the division:
\[
1890 \div 27 = 70
\]
- Answer:
\[
18.9 \div 0.27 = 70
\]
---
Problem 10: \( 22.4 \div 0.08 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
22.4 \times 100 = 2240, \quad 0.08 \times 100 = 8
\]
- Perform the division:
\[
2240 \div 8 = 280
\]
- Answer:
\[
22.4 \div 0.08 = 280
\]
---
Problem 11: \( 40.5 \div 0.45 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
40.5 \times 100 = 4050, \quad 0.45 \times 100 = 45
\]
- Perform the division:
\[
4050 \div 45 = 90
\]
- Answer:
\[
40.5 \div 0.45 = 90
\]
---
Problem 12: \( 96.4 \div 0.2 \)
- Adjust the divisor: Multiply both numbers by 10.
\[
96.4 \times 10 = 964, \quad 0.2 \times 10 = 2
\]
- Perform the division:
\[
964 \div 2 = 482
\]
- Answer:
\[
96.4 \div 0.2 = 482
\]
---
Problem 13: \( 74.8 \div 0.22 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
74.8 \times 100 = 7480, \quad 0.22 \times 100 = 22
\]
- Perform the division:
\[
7480 \div 22 = 340
\]
- Answer:
\[
74.8 \div 0.22 = 340
\]
---
Problem 14: \( 79.2 \div 1.1 \)
- Adjust the divisor: Multiply both numbers by 10.
\[
79.2 \times 10 = 792, \quad 1.1 \times 10 = 11
\]
- Perform the division:
\[
792 \div 11 = 72
\]
- Answer:
\[
79.2 \div 1.1 = 72
\]
---
Problem 15: \( 3.91 \div 0.17 \)
- Adjust the divisor: Multiply both numbers by 100.
\[
3.91 \times 100 = 391, \quad 0.17 \times 100 = 17
\]
- Perform the division:
\[
391 \div 17 = 23
\]
- Answer:
\[
3.91 \div 0.17 = 23
\]
---
Problem 16: \( 58.8 \div 1.2 \)
- Adjust the divisor: Multiply both numbers by 10.
\[
58.8 \times 10 = 588, \quad 1.2 \times 10 = 12
\]
- Perform the division:
\[
588 \div 12 = 49
\]
- Answer:
\[
58.8 \div 1.2 = 49
\]
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
3.80 \div 0.38 = 10 & 4.95 \div 0.15 = 33 \\
4.96 \div 0.31 = 16 & 1.60 \div 0.16 = 10 \\
6.72 \div 0.42 = 16 & 74.5 \div 0.05 = 1490 \\
8.25 \div 0.25 = 33 & 90.0 \div 0.12 = 750 \\
18.9 \div 0.27 = 70 & 22.4 \div 0.08 = 280 \\
40.5 \div 0.45 = 90 & 96.4 \div 0.2 = 482 \\
74.8 \div 0.22 = 340 & 79.2 \div 1.1 = 72 \\
3.91 \div 0.17 = 23 & 58.8 \div 1.2 = 49 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal division worksheet with answer key.