Let's solve each of these problems step by step. The task is to
find each quotient when dividing positive and negative numbers.
Rules for Dividing Positive and Negative Numbers:
-
Positive ÷ Positive = Positive
-
Negative ÷ Negative = Positive
-
Positive ÷ Negative = Negative
-
Negative ÷ Positive = Negative
We'll apply these rules and simplify each expression.
---
1) $ \frac{10}{5} $
$$
\frac{10}{5} = 2
$$
✔ Answer: 2
---
2) $ \frac{-24}{12} $
Negative divided by positive → negative
$$
\frac{-24}{12} = -2
$$
✔ Answer: -2
---
3) $ \frac{-20}{-2} $
Negative divided by negative → positive
$$
\frac{-20}{-2} = 10
$$
✔ Answer: 10
---
4) $ \frac{-300}{-20} $
Negative ÷ Negative → Positive
$$
\frac{-300}{-20} = 15
$$
✔ Answer: 15
---
5) $ \frac{65}{5} $
Positive ÷ Positive → Positive
$$
\frac{65}{5} = 13
$$
✔ Answer: 13
---
6) $ \frac{-66}{-6} $
Negative ÷ Negative → Positive
$$
\frac{-66}{-6} = 11
$$
✔ Answer: 11
---
7) $ \frac{75}{-15} $
Positive ÷ Negative → Negative
$$
\frac{75}{-15} = -5
$$
✔ Answer: -5
---
8) $ \frac{-56}{-14} $
Negative ÷ Negative → Positive
$$
\frac{-56}{-14} = 4
$$
✔ Answer: 4
---
9) $ \frac{102}{-17} $
Positive ÷ Negative → Negative
$$
\frac{102}{-17} = -6
$$
✔ Answer: -6
---
10) $ \frac{-72}{-4} $
Negative ÷ Negative → Positive
$$
\frac{-72}{-4} = 18
$$
✔ Answer: 18
---
11) $ 153 \div 17 $
Positive ÷ Positive → Positive
$$
153 \div 17 = 9
$$
✔ Answer: 9
---
12) $ 12 \div (-3) $
Positive ÷ Negative → Negative
$$
12 \div (-3) = -4
$$
✔ Answer: -4
---
13) $ 48 \div 6 $
Positive ÷ Positive → Positive
$$
48 \div 6 = 8
$$
✔ Answer: 8
---
14) $ -120 \div (-20) $
Negative ÷ Negative → Positive
$$
-120 \div (-20) = 6
$$
✔ Answer: 6
---
15) $ 306 \div 18 $
Positive ÷ Positive → Positive
$$
306 \div 18 = 17
$$
✔ Answer: 17
---
16) $ -65 \div 13 $
Negative ÷ Positive → Negative
$$
-65 \div 13 = -5
$$
✔ Answer: -5
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | 2 |
| 2) | -2 |
| 3) | 10 |
| 4) | 15 |
| 5) | 13 |
| 6) | 11 |
| 7) | -5 |
| 8) | 4 |
| 9) | -6 |
| 10) | 18 |
| 11) | 9 |
| 12) | -4 |
| 13) | 8 |
| 14) | 6 |
| 15) | 17 |
| 16) | -5 |
Let me know if you'd like a printable version or explanation in another format!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing rational numbers worksheet 7th grade.
