Divide whole numbers by tenths less than 10 with this math worksheet from SplashLearn.
Worksheet titled "Divide Whole Numbers by Tenths less than 10" with division problems involving whole numbers divided by decimals less than 10, featuring a space for the student's name and a smiley face, published by SplashLearn.
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Step-by-step solution for: Dividing Decimals (Division of Decimals) - Definition, Steps and
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Show Answer Key & Explanations
Step-by-step solution for: Dividing Decimals (Division of Decimals) - Definition, Steps and
The task involves dividing whole numbers by decimal numbers (tenths) that are less than 10. To solve these problems, we need to follow the steps for dividing decimals:
1. Adjust the divisor: Move the decimal point in the divisor to the right until it becomes a whole number.
2. Move the decimal point in the dividend: Move the decimal point in the dividend the same number of places to the right as you did for the divisor.
3. Perform the division: Divide the adjusted numbers as you would with whole numbers.
Let's solve each problem step by step.
---
1. Adjust the divisor: Move the decimal point in 5.6 one place to the right to make it 56.
2. Move the decimal point in the dividend: Move the decimal point in 504 one place to the right to make it 5040.
3. Perform the division: \( 5040 \div 56 = 90 \).
Answer: \( 504 \div 5.6 = 90 \)
---
1. Adjust the divisor: Move the decimal point in 7.4 one place to the right to make it 74.
2. Move the decimal point in the dividend: Move the decimal point in 74 one place to the right to make it 740.
3. Perform the division: \( 740 \div 74 = 10 \).
Answer: \( 74 \div 7.4 = 10 \)
---
1. Adjust the divisor: Move the decimal point in 7.6 one place to the right to make it 76.
2. Move the decimal point in the dividend: Move the decimal point in 532 one place to the right to make it 5320.
3. Perform the division: \( 5320 \div 76 = 70 \).
Answer: \( 532 \div 7.6 = 70 \)
---
1. Adjust the divisor: Move the decimal point in 8.9 one place to the right to make it 89.
2. Move the decimal point in the dividend: Move the decimal point in 534 one place to the right to make it 5340.
3. Perform the division: \( 5340 \div 89 \approx 60 \).
Answer: \( 534 \div 8.9 \approx 60 \)
---
1. Adjust the divisor: Move the decimal point in 3.6 one place to the right to make it 36.
2. Move the decimal point in the dividend: Move the decimal point in 103 one place to the right to make it 1030.
3. Perform the division: \( 1030 \div 36 \approx 28.61 \).
Answer: \( 103 \div 3.6 \approx 28.61 \)
---
1. Adjust the divisor: Move the decimal point in 4.6 one place to the right to make it 46.
2. Move the decimal point in the dividend: Move the decimal point in 824 one place to the right to make it 8240.
3. Perform the division: \( 8240 \div 46 \approx 180 \).
Answer: \( 824 \div 4.6 \approx 180 \)
---
1. Adjust the divisor: Move the decimal point in 4.5 one place to the right to make it 45.
2. Move the decimal point in the dividend: Move the decimal point in 388 one place to the right to make it 3880.
3. Perform the division: \( 3880 \div 45 \approx 86.22 \).
Answer: \( 388 \div 4.5 \approx 86.22 \)
---
1. Adjust the divisor: Move the decimal point in 2.6 one place to the right to make it 26.
2. Move the decimal point in the dividend: Move the decimal point in 650 one place to the right to make it 6500.
3. Perform the division: \( 6500 \div 26 = 250 \).
Answer: \( 650 \div 2.6 = 250 \)
---
1. Adjust the divisor: Move the decimal point in 2.5 one place to the right to make it 25.
2. Move the decimal point in the dividend: Move the decimal point in 900 one place to the right to make it 9000.
3. Perform the division: \( 9000 \div 25 = 360 \).
Answer: \( 900 \div 2.5 = 360 \)
---
1. Adjust the divisor: Move the decimal point in 3.2 one place to the right to make it 32.
2. Move the decimal point in the dividend: Move the decimal point in 352 one place to the right to make it 3520.
3. Perform the division: \( 3520 \div 32 = 110 \).
Answer: \( 352 \div 3.2 = 110 \)
---
1. Adjust the divisor: Move the decimal point in 1.1 one place to the right to make it 11.
2. Move the decimal point in the dividend: Move the decimal point in 628 one place to the right to make it 6280.
3. Perform the division: \( 6280 \div 11 \approx 570.91 \).
Answer: \( 628 \div 1.1 \approx 570.91 \)
---
1. Adjust the divisor: Move the decimal point in 1.3 one place to the right to make it 13.
2. Move the decimal point in the dividend: Move the decimal point in 465 one place to the right to make it 4650.
3. Perform the division: \( 4650 \div 13 \approx 357.69 \).
Answer: \( 465 \div 1.3 \approx 357.69 \)
---
1. Adjust the divisor: Move the decimal point in 1.2 one place to the right to make it 12.
2. Move the decimal point in the dividend: Move the decimal point in 935 one place to the right to make it 9350.
3. Perform the division: \( 9350 \div 12 \approx 779.17 \).
Answer: \( 935 \div 1.2 \approx 779.17 \)
---
1. Adjust the divisor: Move the decimal point in 1.5 one place to the right to make it 15.
2. Move the decimal point in the dividend: Move the decimal point in 645 one place to the right to make it 6450.
3. Perform the division: \( 6450 \div 15 = 430 \).
Answer: \( 645 \div 1.5 = 430 \)
---
1. Adjust the divisor: Move the decimal point in 1.7 one place to the right to make it 17.
2. Move the decimal point in the dividend: Move the decimal point in 833 one place to the right to make it 8330.
3. Perform the division: \( 8330 \div 17 = 490 \).
Answer: \( 833 \div 1.7 = 490 \)
---
1. Adjust the divisor: Move the decimal point in 1.6 one place to the right to make it 16.
2. Move the decimal point in the dividend: Move the decimal point in 160 one place to the right to make it 1600.
3. Perform the division: \( 1600 \div 16 = 100 \).
Answer: \( 160 \div 1.6 = 100 \)
---
\[
\boxed{
\begin{array}{ll}
504 \div 5.6 = 90 & 900 \div 2.5 = 360 \\
74 \div 7.4 = 10 & 352 \div 3.2 = 110 \\
532 \div 7.6 = 70 & 628 \div 1.1 \approx 570.91 \\
534 \div 8.9 \approx 60 & 465 \div 1.3 \approx 357.69 \\
103 \div 3.6 \approx 28.61 & 935 \div 1.2 \approx 779.17 \\
824 \div 4.6 \approx 180 & 645 \div 1.5 = 430 \\
388 \div 4.5 \approx 86.22 & 833 \div 1.7 = 490 \\
650 \div 2.6 = 250 & 160 \div 1.6 = 100 \\
\end{array}
}
\]
Steps to Divide a Whole Number by a Decimal:
1. Adjust the divisor: Move the decimal point in the divisor to the right until it becomes a whole number.
2. Move the decimal point in the dividend: Move the decimal point in the dividend the same number of places to the right as you did for the divisor.
3. Perform the division: Divide the adjusted numbers as you would with whole numbers.
Let's solve each problem step by step.
---
Problem 1: \( 504 \div 5.6 \)
1. Adjust the divisor: Move the decimal point in 5.6 one place to the right to make it 56.
2. Move the decimal point in the dividend: Move the decimal point in 504 one place to the right to make it 5040.
3. Perform the division: \( 5040 \div 56 = 90 \).
Answer: \( 504 \div 5.6 = 90 \)
---
Problem 2: \( 74 \div 7.4 \)
1. Adjust the divisor: Move the decimal point in 7.4 one place to the right to make it 74.
2. Move the decimal point in the dividend: Move the decimal point in 74 one place to the right to make it 740.
3. Perform the division: \( 740 \div 74 = 10 \).
Answer: \( 74 \div 7.4 = 10 \)
---
Problem 3: \( 532 \div 7.6 \)
1. Adjust the divisor: Move the decimal point in 7.6 one place to the right to make it 76.
2. Move the decimal point in the dividend: Move the decimal point in 532 one place to the right to make it 5320.
3. Perform the division: \( 5320 \div 76 = 70 \).
Answer: \( 532 \div 7.6 = 70 \)
---
Problem 4: \( 534 \div 8.9 \)
1. Adjust the divisor: Move the decimal point in 8.9 one place to the right to make it 89.
2. Move the decimal point in the dividend: Move the decimal point in 534 one place to the right to make it 5340.
3. Perform the division: \( 5340 \div 89 \approx 60 \).
Answer: \( 534 \div 8.9 \approx 60 \)
---
Problem 5: \( 103 \div 3.6 \)
1. Adjust the divisor: Move the decimal point in 3.6 one place to the right to make it 36.
2. Move the decimal point in the dividend: Move the decimal point in 103 one place to the right to make it 1030.
3. Perform the division: \( 1030 \div 36 \approx 28.61 \).
Answer: \( 103 \div 3.6 \approx 28.61 \)
---
Problem 6: \( 824 \div 4.6 \)
1. Adjust the divisor: Move the decimal point in 4.6 one place to the right to make it 46.
2. Move the decimal point in the dividend: Move the decimal point in 824 one place to the right to make it 8240.
3. Perform the division: \( 8240 \div 46 \approx 180 \).
Answer: \( 824 \div 4.6 \approx 180 \)
---
Problem 7: \( 388 \div 4.5 \)
1. Adjust the divisor: Move the decimal point in 4.5 one place to the right to make it 45.
2. Move the decimal point in the dividend: Move the decimal point in 388 one place to the right to make it 3880.
3. Perform the division: \( 3880 \div 45 \approx 86.22 \).
Answer: \( 388 \div 4.5 \approx 86.22 \)
---
Problem 8: \( 650 \div 2.6 \)
1. Adjust the divisor: Move the decimal point in 2.6 one place to the right to make it 26.
2. Move the decimal point in the dividend: Move the decimal point in 650 one place to the right to make it 6500.
3. Perform the division: \( 6500 \div 26 = 250 \).
Answer: \( 650 \div 2.6 = 250 \)
---
Problem 9: \( 900 \div 2.5 \)
1. Adjust the divisor: Move the decimal point in 2.5 one place to the right to make it 25.
2. Move the decimal point in the dividend: Move the decimal point in 900 one place to the right to make it 9000.
3. Perform the division: \( 9000 \div 25 = 360 \).
Answer: \( 900 \div 2.5 = 360 \)
---
Problem 10: \( 352 \div 3.2 \)
1. Adjust the divisor: Move the decimal point in 3.2 one place to the right to make it 32.
2. Move the decimal point in the dividend: Move the decimal point in 352 one place to the right to make it 3520.
3. Perform the division: \( 3520 \div 32 = 110 \).
Answer: \( 352 \div 3.2 = 110 \)
---
Problem 11: \( 628 \div 1.1 \)
1. Adjust the divisor: Move the decimal point in 1.1 one place to the right to make it 11.
2. Move the decimal point in the dividend: Move the decimal point in 628 one place to the right to make it 6280.
3. Perform the division: \( 6280 \div 11 \approx 570.91 \).
Answer: \( 628 \div 1.1 \approx 570.91 \)
---
Problem 12: \( 465 \div 1.3 \)
1. Adjust the divisor: Move the decimal point in 1.3 one place to the right to make it 13.
2. Move the decimal point in the dividend: Move the decimal point in 465 one place to the right to make it 4650.
3. Perform the division: \( 4650 \div 13 \approx 357.69 \).
Answer: \( 465 \div 1.3 \approx 357.69 \)
---
Problem 13: \( 935 \div 1.2 \)
1. Adjust the divisor: Move the decimal point in 1.2 one place to the right to make it 12.
2. Move the decimal point in the dividend: Move the decimal point in 935 one place to the right to make it 9350.
3. Perform the division: \( 9350 \div 12 \approx 779.17 \).
Answer: \( 935 \div 1.2 \approx 779.17 \)
---
Problem 14: \( 645 \div 1.5 \)
1. Adjust the divisor: Move the decimal point in 1.5 one place to the right to make it 15.
2. Move the decimal point in the dividend: Move the decimal point in 645 one place to the right to make it 6450.
3. Perform the division: \( 6450 \div 15 = 430 \).
Answer: \( 645 \div 1.5 = 430 \)
---
Problem 15: \( 833 \div 1.7 \)
1. Adjust the divisor: Move the decimal point in 1.7 one place to the right to make it 17.
2. Move the decimal point in the dividend: Move the decimal point in 833 one place to the right to make it 8330.
3. Perform the division: \( 8330 \div 17 = 490 \).
Answer: \( 833 \div 1.7 = 490 \)
---
Problem 16: \( 160 \div 1.6 \)
1. Adjust the divisor: Move the decimal point in 1.6 one place to the right to make it 16.
2. Move the decimal point in the dividend: Move the decimal point in 160 one place to the right to make it 1600.
3. Perform the division: \( 1600 \div 16 = 100 \).
Answer: \( 160 \div 1.6 = 100 \)
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
504 \div 5.6 = 90 & 900 \div 2.5 = 360 \\
74 \div 7.4 = 10 & 352 \div 3.2 = 110 \\
532 \div 7.6 = 70 & 628 \div 1.1 \approx 570.91 \\
534 \div 8.9 \approx 60 & 465 \div 1.3 \approx 357.69 \\
103 \div 3.6 \approx 28.61 & 935 \div 1.2 \approx 779.17 \\
824 \div 4.6 \approx 180 & 645 \div 1.5 = 430 \\
388 \div 4.5 \approx 86.22 & 833 \div 1.7 = 490 \\
650 \div 2.6 = 250 & 160 \div 1.6 = 100 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of long division with decimals worksheets.
