Let’s solve each problem step by step. We’ll go one at a time, carefully checking signs and operations.
---
1) (–7) + (–4) + 7
Start with –7 + (–4) = –11
Then –11 + 7 =
–4
✔ Final:
–4
---
2) (–4) + 8 – (–2)
First, –4 + 8 = 4
Then subtracting a negative is adding: 4 – (–2) = 4 + 2 =
6
✔ Final:
6
---
3) (–1) – (–4) – (–3)
Subtracting negatives becomes addition:
–1 + 4 + 3
–1 + 4 = 3; 3 + 3 =
6
✔ Final:
6
---
4) (–1) – 4 + 6
–1 – 4 = –5
–5 + 6 =
1
✔ Final:
1
---
5) 7 · –6 · 6
Multiply left to right:
7 × –6 = –42
–42 × 6 =
–252
✔ Final:
–252
---
6) –10 · –9 · –1
–10 × –9 = 90 (negative × negative = positive)
90 × –1 =
–90 (positive × negative = negative)
✔ Final:
–90
---
7) –7 · 6 · –8
–7 × 6 = –42
–42 × –8 =
336 (negative × negative = positive)
✔ Final:
336
---
8) –3 · 2 · –6
–3 × 2 = –6
–6 × –6 =
36
✔ Final:
36
---
9) –5/3 · –3/4
Multiply numerators: (–5) × (–3) = 15
Multiply denominators: 3 × 4 = 12
So we get 15/12 → simplify: divide numerator and denominator by 3 →
5/4
But wait — let’s check sign: negative × negative = positive → so
+5/4
✔ Final:
5/4 or
1¼
---
10) –7/4 · 1/2
Numerators: –7 × 1 = –7
Denominators: 4 × 2 = 8
Result:
–7/8
✔ Final:
–7/8
---
11) 7 ÷ –1
Positive divided by negative = negative →
–7
✔ Final:
–7
---
12) 6 ÷ 3
Simple division →
2
✔ Final:
2
---
13) –6 ÷ 6
Negative ÷ positive = negative →
–1
✔ Final:
–1
---
14) –45 ÷ 9
Negative ÷ positive = negative →
–5
✔ Final:
–5
---
15) –3/4 ÷ 5/8
Dividing fractions: flip the second fraction and multiply.
So: –3/4 × 8/5
Multiply numerators: –3 × 8 = –24
Multiply denominators: 4 × 5 = 20
→ –24/20 → simplify: divide by 4 →
–6/5
Or as mixed number: –1⅕
✔ Final:
–6/5
---
16) –2 1/5 ÷ –6/5
First, convert mixed number to improper fraction:
–2 1/5 = –(2 + 1/5) = –11/5
Now: –11/5 ÷ –6/5
Flip second fraction: –11/5 × –5/6
Multiply: (–11 × –5) / (5 × 6) = 55 / 30
Simplify: divide numerator and denominator by 5 →
11/6
Sign: negative × negative = positive →
+11/6
As mixed number: 1 5/6
✔ Final:
11/6
---
Final Answer:
1) –4
2) 6
3) 6
4) 1
5) –252
6) –90
7) 336
8) 36
9) 5/4
10) –7/8
11) –7
12) 2
13) –1
14) –5
15) –6/5
16) 11/6
Parent Tip: Review the logic above to help your child master the concept of multiplication and division of rational numbers worksheet.
