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Dividing Rational Numbers

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Dividing Rational Numbers

Number line division illustration

📊 Part 1: Multiple Choice

Use the number line method or calculator to help solve these problems.

1. What is 6 ÷ (-2)?

3

-3

12

-12

2. What is (-4) ÷ (1/2)?

-2

2

-8

8

3. What is 0.8 ÷ 0.2?

0.4

4

0.16

1.6

4. What is (-3.6) ÷ (-1.2)?

-3

3

-4.32

4.32

✏️ Part 2: Show Your Work

Solve these problems using a number line or calculator. Show your thinking!

5. Solve: 3 ÷ (-1/2)

Answer: _________

6. Solve: 1 1/2 ÷ (-3/4)

Answer: _________

7. A temperature dropped 12°F over 3 hours. What was the average change per hour?

Write the division problem: ________________

Answer: _______ °F per hour

🤔 Part 3: Explain Your Thinking

8. Sarah says that (-8) ÷ 2 = 4. Is she correct? Explain why or why not.
9. When you divide a positive number by a negative number, what happens to the sign of your answer? Give an example.
10. Fill in the blanks: When dividing rational numbers, if the signs are the same, the answer is __________. If the signs are different, the answer is __________.

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