Multiplying Positive by Negative Integers from -9 to 9 (100 ... - Free Printable
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Step-by-step solution for: Multiplying Positive by Negative Integers from -9 to 9 (100 ...
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Positive by Negative Integers from -9 to 9 (100 ...
You're working on a worksheet titled “Multiplying Integers (A)”. The goal is to calculate the product (result) of each multiplication problem involving positive and negative integers.
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## ✔ Key Rule for Multiplying Integers:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
In short:
> Same signs → Positive result
> Different signs → Negative result
Then, multiply the absolute values (ignore the signs, just multiply the numbers).
---
## 📝 Let’s solve the worksheet row by row:
- `5 × (–3)` = –15
- `2 × (–9)` = –18
- `3 × (–6)` = –18
- `1 × (–8)` = –8
- `7 × (–8)` = –56
- `4 × (–3)` = –12
- `1 × (–3)` = –3
- `8 × (–1)` = –8
- `1 × (–1)` = –1
- `3 × (–8)` = –24
- `9 × (–8)` = –72
- `2 × (–8)` = –16
- `5 × (–8)` = –40
- `5 × (–7)` = –35
- `6 × (–7)` = –42
- `3 × (–1)` = –3
- `7 × (–7)` = –49
- `5 × (–9)` = –45
- `4 × (–2)` = –8
- `4 × (–9)` = –36
- `1 × (–2)` = –2
- `6 × (–6)` = –36
- `2 × (–2)` = –4
- `5 × (–6)` = –30
- `9 × (–7)` = –63
- `9 × (–4)` = –36
- `4 × (–7)` = –28
- `7 × (–6)` = –42
- `8 × (–5)` = –40
- `9 × (–5)` = –45
- `8 × (–7)` = –56
- `2 × (–2)` = –4
- `3 × (–4)` = –12
- `3 × (–9)` = –27
- `6 × (–4)` = –24
- `4 × (–6)` = –24
- `5 × (–1)` = –5
- `6 × (–3)` = –18
- `1 × (–6)` = –6
- `4 × (–3)` = –12
- `3 × (–3)` = –9
- `9 × (–6)` = –54
- `6 × (–1)` = –6
- `2 × (–5)` = –10
- `5 × (–5)` = –25
- `7 × (–2)` = –14
- `3 × (–2)` = –6
- `9 × (–8)` = –72
- `9 × (–9)` = –81
- `2 × (–5)` = –10
- `4 × (–4)` = –16
- `6 × (–9)` = –54
- `7 × (–3)` = –21
- `5 × (–4)` = –20
- `7 × (–1)` = –7
- `6 × (–4)` = –24
- `2 × (–6)` = –12
- `2 × (–3)` = –6
- `5 × (–2)` = –10
- `8 × (–4)` = –32
- `1 × (–4)` = –4
- `4 × (–5)` = –20
- `3 × (–5)` = –15
- `4 × (–5)` = –20
- `8 × (–9)` = –72
- `9 × (–1)` = –9
- `8 × (–4)` = –32
- `6 × (–5)` = –30
- `2 × (–1)` = –2
- `4 × (–6)` = –24
- `8 × (–8)` = –64
- `7 × (–3)` = –21
- `8 × (–6)` = –48
- `4 × (–8)` = –32
- `7 × (–5)` = –35
- `9 × (–7)` = –63
- `8 × (–2)` = –16
- `7 × (–6)` = –42
- `8 × (–3)` = –24
- `4 × (–8)` = –32
- `1 × (–9)` = –9
- `6 × (–5)` = –30
- `6 × (–8)` = –48
- `4 × (–4)` = –16
- `2 × (–4)` = –8
- `1 × (–5)` = –5
- `3 × (–7)` = –21
- `1 × (–6)` = –6
- `4 × (–1)` = –4
- `9 × (–2)` = –18
- `6 × (–9)` = –54
- `1 × (–5)` = –5
- `2 × (–7)` = –14
- `9 × (–3)` = –27
- `6 × (–2)` = –12
- `3 × (–9)` = –27
- `1 × (–7)` = –7
- `7 × (–4)` = –28
- `7 × (–9)` = –63
- `5 × (–4)` = –20
---
## ✔ Final Answer Sheet (All Products):
```
–15 –18 –18 –8
–56 –12 –3 –8
–1 –24 –72 –16
–40 –35 –42 –3
–49 –45 –8 –36
–2 –36 –4 –30
–63 –36 –28 –42
–40 –45 –56 –4
–12 –27 –24 –24
–5 –18 –6 –12
–9 –54 –6 –10
–25 –14 –6 –72
–81 –10 –16 –54
–21 –20 –7 –24
–12 –6 –10 –32
–4 –20 –15 –20
–72 –9 –32 –30
–2 –24 –64 –21
–48 –32 –35 –63
–16 –42 –24 –32
–9 –30 –48 –16
–8 –5 –21 –6
–4 –18 –54 –5
–14 –27 –12 –27
–7 –28 –63 –20
```
---
## 🎯 Tips for Checking Your Work:
- Double-check sign rules: same signs = positive, different = negative.
- Use a calculator if unsure — but try to do it mentally first to build fluency!
- Look for patterns — e.g., multiplying by 1 or –1 just changes the sign.
---
Let me know if you’d like a printable version or want to practice more problems! 😊
---
## ✔ Key Rule for Multiplying Integers:
- Positive × Positive = Positive
- Negative × Negative = Positive
- Positive × Negative = Negative
- Negative × Positive = Negative
In short:
> Same signs → Positive result
> Different signs → Negative result
Then, multiply the absolute values (ignore the signs, just multiply the numbers).
---
## 📝 Let’s solve the worksheet row by row:
Row 1:
- `5 × (–3)` = –15
- `2 × (–9)` = –18
- `3 × (–6)` = –18
- `1 × (–8)` = –8
Row 2:
- `7 × (–8)` = –56
- `4 × (–3)` = –12
- `1 × (–3)` = –3
- `8 × (–1)` = –8
Row 3:
- `1 × (–1)` = –1
- `3 × (–8)` = –24
- `9 × (–8)` = –72
- `2 × (–8)` = –16
Row 4:
- `5 × (–8)` = –40
- `5 × (–7)` = –35
- `6 × (–7)` = –42
- `3 × (–1)` = –3
Row 5:
- `7 × (–7)` = –49
- `5 × (–9)` = –45
- `4 × (–2)` = –8
- `4 × (–9)` = –36
Row 6:
- `1 × (–2)` = –2
- `6 × (–6)` = –36
- `2 × (–2)` = –4
- `5 × (–6)` = –30
Row 7:
- `9 × (–7)` = –63
- `9 × (–4)` = –36
- `4 × (–7)` = –28
- `7 × (–6)` = –42
Row 8:
- `8 × (–5)` = –40
- `9 × (–5)` = –45
- `8 × (–7)` = –56
- `2 × (–2)` = –4
Row 9:
- `3 × (–4)` = –12
- `3 × (–9)` = –27
- `6 × (–4)` = –24
- `4 × (–6)` = –24
Row 10:
- `5 × (–1)` = –5
- `6 × (–3)` = –18
- `1 × (–6)` = –6
- `4 × (–3)` = –12
Row 11:
- `3 × (–3)` = –9
- `9 × (–6)` = –54
- `6 × (–1)` = –6
- `2 × (–5)` = –10
Row 12:
- `5 × (–5)` = –25
- `7 × (–2)` = –14
- `3 × (–2)` = –6
- `9 × (–8)` = –72
Row 13:
- `9 × (–9)` = –81
- `2 × (–5)` = –10
- `4 × (–4)` = –16
- `6 × (–9)` = –54
Row 14:
- `7 × (–3)` = –21
- `5 × (–4)` = –20
- `7 × (–1)` = –7
- `6 × (–4)` = –24
Row 15:
- `2 × (–6)` = –12
- `2 × (–3)` = –6
- `5 × (–2)` = –10
- `8 × (–4)` = –32
Row 16:
- `1 × (–4)` = –4
- `4 × (–5)` = –20
- `3 × (–5)` = –15
- `4 × (–5)` = –20
Row 17:
- `8 × (–9)` = –72
- `9 × (–1)` = –9
- `8 × (–4)` = –32
- `6 × (–5)` = –30
Row 18:
- `2 × (–1)` = –2
- `4 × (–6)` = –24
- `8 × (–8)` = –64
- `7 × (–3)` = –21
Row 19:
- `8 × (–6)` = –48
- `4 × (–8)` = –32
- `7 × (–5)` = –35
- `9 × (–7)` = –63
Row 20:
- `8 × (–2)` = –16
- `7 × (–6)` = –42
- `8 × (–3)` = –24
- `4 × (–8)` = –32
Row 21:
- `1 × (–9)` = –9
- `6 × (–5)` = –30
- `6 × (–8)` = –48
- `4 × (–4)` = –16
Row 22:
- `2 × (–4)` = –8
- `1 × (–5)` = –5
- `3 × (–7)` = –21
- `1 × (–6)` = –6
Row 23:
- `4 × (–1)` = –4
- `9 × (–2)` = –18
- `6 × (–9)` = –54
- `1 × (–5)` = –5
Row 24:
- `2 × (–7)` = –14
- `9 × (–3)` = –27
- `6 × (–2)` = –12
- `3 × (–9)` = –27
Row 25:
- `1 × (–7)` = –7
- `7 × (–4)` = –28
- `7 × (–9)` = –63
- `5 × (–4)` = –20
---
## ✔ Final Answer Sheet (All Products):
```
–15 –18 –18 –8
–56 –12 –3 –8
–1 –24 –72 –16
–40 –35 –42 –3
–49 –45 –8 –36
–2 –36 –4 –30
–63 –36 –28 –42
–40 –45 –56 –4
–12 –27 –24 –24
–5 –18 –6 –12
–9 –54 –6 –10
–25 –14 –6 –72
–81 –10 –16 –54
–21 –20 –7 –24
–12 –6 –10 –32
–4 –20 –15 –20
–72 –9 –32 –30
–2 –24 –64 –21
–48 –32 –35 –63
–16 –42 –24 –32
–9 –30 –48 –16
–8 –5 –21 –6
–4 –18 –54 –5
–14 –27 –12 –27
–7 –28 –63 –20
```
---
## 🎯 Tips for Checking Your Work:
- Double-check sign rules: same signs = positive, different = negative.
- Use a calculator if unsure — but try to do it mentally first to build fluency!
- Look for patterns — e.g., multiplying by 1 or –1 just changes the sign.
---
Let me know if you’d like a printable version or want to practice more problems! 😊
Parent Tip: Review the logic above to help your child master the concept of printable math worksheets positive and negative numbers.