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Dividing Decimals by Whole Numbers

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Dividing Decimals by Whole Numbers

Division symbols and decimal numbers

🎯 Learning Goal

I can... divide decimals by single-digit whole numbers using place value understanding and written methods.

Success Criteria:

✓ I can identify the correct placement of the decimal point
✓ I can use long division with decimals
✓ I can check my answer makes sense

📚 Part 1: Multiple Choice

1. What is 4.8 ÷ 2?

2.4

2.8

8.4

0.24

2. Sarah has $12.60 to share equally among 3 friends. How much does each friend get?

$4.20

$3.60

$4.02

$42.00

3. Which division problem has the answer 1.5?

15 ÷ 10

3.0 ÷ 2

1.5 ÷ 1

All of the above

4. When dividing 8.4 ÷ 4, where should the decimal point be placed in the answer?

2.1

21

0.21

210

5. What is 14.4 ÷ 6?

2.4

2.6

24

0.24

✏️ Part 2: Show Your Work

6. Solve using long division: 9.6 ÷ 3 = _______
7. A rope is 15.4 feet long. It needs to be cut into 7 equal pieces. How long will each piece be?

Answer: Each piece will be _______ feet long.

8. Problem Solving: Marcus bought 5 identical notebooks for a total of $18.75. He also bought 3 identical pens for a total of $4.50. How much more did each notebook cost than each pen? Show all your work.

Cost of each notebook: $ _______

Cost of each pen: $ _______

Difference: $ _______

9. Extension Challenge: If 6.3 ÷ 3 = 2.1, what is 63 ÷ 3? Explain the pattern you notice.
10. Check Your Understanding: Explain in your own words how you know where to place the decimal point when dividing decimals by whole numbers.

🌟 Differentiation Support

Need Help? Remember: The decimal point in your answer goes directly above the decimal point in the dividend (the number being divided).

Quick Check: Does your answer make sense? If you're dividing by a number greater than 1, your answer should be smaller than what you started with.

Dyslexia-Friendly Tip: Use graph paper or draw lines to keep your digits aligned in columns during long division.

📋 Answer Key

Part 1: Multiple Choice Answers

1. 2.4 (First option)
2. $4.20 (First option)
3. All of the above (Fourth option)
4. 2.1 (First option)
5. 2.4 (First option)

Part 2: Problem-Solving Answers

6. 9.6 ÷ 3 = 3.2

7. 15.4 ÷ 7 = 2.2 feet per piece

8.
Cost of each notebook: $18.75 ÷ 5 = $3.75
Cost of each pen: $4.50 ÷ 3 = $1.50
Difference: $3.75 - $1.50 = $2.25

9. 63 ÷ 3 = 21
Pattern: When the decimal moves one place to the right in the dividend (6.3 becomes 63), the decimal moves one place to the right in the quotient (2.1 becomes 21).

10. Sample answer: The decimal point in the quotient goes directly above the decimal point in the dividend. This maintains the place value relationships as we divide each digit.

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