Math worksheet for calculating with negative numbers, including problems and a number line.

Let's solve each question step by step using the concept of negative numbers and a number line where needed.

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Basic Addition and Subtraction (Using Number Line)

We'll use the number line from -11 to 10 to help visualize the answers.

#### 1. -9 + 7 = ?
Start at -9, move 7 steps right:
-9 → -8 → -7 → -6 → -5 → -4 → -3 → -2
Answer: -2

#### 2. -4 + 5 = ?
Start at -4, move 5 steps right:
-4 → -3 → -2 → -1 → 0 → 1
Answer: 1

#### 3. -3 + 9 = ?
Start at -3, move 9 steps right:
-3 → -2 → -1 → 0 → 1 → 2 → 3 → 4 → 5 → 6
Answer: 6

#### 4. 3 - 5 = ?
Same as 3 + (-5). Start at 3, move 5 left:
3 → 2 → 1 → 0 → -1 → -2
Answer: -2

#### 5. 4 - 7 = ?
Same as 4 + (-7). Start at 4, move 7 left:
4 → 3 → 2 → 1 → 0 → -1 → -2 → -3
Answer: -3

#### 6. 2 - 8 = ?
Same as 2 + (-8). Start at 2, move 8 left:
2 → 1 → 0 → -1 → -2 → -3 → -4 → -5 → -6
Answer: -6

#### 7. -4 - 3 = ?
Same as -4 + (-3). Start at -4, move 3 left:
-4 → -5 → -6 → -7
Answer: -7

#### 8. -2 - 5 = ?
Same as -2 + (-5). Start at -2, move 5 left:
-2 → -3 → -4 → -5 → -6 → -7
Answer: -7

#### 9. -5 - 6 = ?
Same as -5 + (-6). Start at -5, move 6 left:
-5 → -6 → -7 → -8 → -9 → -10 → -11
Answer: -11

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Word Problems with Negative Numbers

#### 10. What is three less than -6?
"Less than" means subtract:
-6 - 3 = -9

#### 11. What is four less than -3?
-3 - 4 = -7

#### 12. How many more is 2 than -3?
Find the difference:
2 - (-3) = 2 + 3 = 5

#### 13. How many more is 5 than -9?
5 - (-9) = 5 + 9 = 14

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Harder Questions (No Number Line)

#### 14. At 7 pm the temperature was 3°C. At midnight it had dropped by 12°C. What was the temperature at midnight?
Drop means subtraction:
3 - 12 = -9°C

#### 15. Rachel had £1,500 in the bank. She spent £2,600 on a new TV. How much was in her bank now?
She spent more than she had:
1500 - 2600 = -£1,100
So, she is overdrawn by £1,100.

#### 16. Ali’s overdraft showed he had -£368.50. He bought a new fridge for £489.99. What was the total that he was now overdrawn?
Add the cost of fridge to current overdraft:
-368.50 - 489.99 = -(368.50 + 489.99) = -£858.49
So, he is now overdrawn by £858.49

#### 17. Tammy had £546,000 in the bank. She bought a new house for £832,000. How much did she now have in the bank?
546,000 - 832,000 = -£286,000
She is overdrawn by £286,000

#### 18. Jan had £155.50 in her bank account. She spent £80.99 on shoes and £125.99 on a coat. How much was she overdrawn?
Total spent:
80.99 + 125.99 = £206.98
Remaining:
155.50 - 206.98 = -£51.48
So, she is overdrawn by £51.48

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✔ Final Answers:

1. -2
2. 1
3. 6
4. -2
5. -3
6. -6
7. -7
8. -7
9. -11
10. -9
11. -7
12. 5
13. 14
14. -9°C
15. -£1,100
16. -£858.49
17. -£286,000
18. -£51.48

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💡 Key Tips:
- Adding a negative number is like subtracting.
- Subtracting a positive number is like moving left on the number line.
- Overdrafts are represented as negative amounts.
- When you spend more than you have, your balance becomes negative.

Let me know if you'd like this explained visually or with diagrams!