Negative Numbers - Worksheet | Maths Year 4 - Free Printable

Problem: Solving the Negative Numbers Worksheet

The worksheet involves counting forwards and backwards on a number line using different step sizes. Below is the solution for each question, along with an explanation.

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#### Number Line Reference
The provided number line ranges from -10 to 10:
```
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
```

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Section 1: Counting Forwards

#### Question 1: Count forwards in steps of 1 from -2.
- Start at -2.
- Add 1 repeatedly:
- -2 + 1 = -1
- -1 + 1 = 0
- 0 + 1 = 1
- 1 + 1 = 2

Answer:
```
-2, -1, 0, 1, 2
```

#### Question 2: Count forwards in steps of 3 from -3.
- Start at -3.
- Add 3 repeatedly:
- -3 + 3 = 0
- 0 + 3 = 3
- 3 + 3 = 6
- 6 + 3 = 9

Answer:
```
-3, 0, 3, 6, 9
```

#### Question 3: Count forwards in steps of 4 from -9.
- Start at -9.
- Add 4 repeatedly:
- -9 + 4 = -5
- -5 + 4 = -1
- -1 + 4 = 3
- 3 + 4 = 7

Answer:
```
-9, -5, -1, 3, 7
```

#### Question 4: Count forwards in steps of 2 from -7.
- Start at -7.
- Add 2 repeatedly:
- -7 + 2 = -5
- -5 + 2 = -3
- -3 + 2 = -1
- -1 + 2 = 1

Answer:
```
-7, -5, -3, -1, 1
```

#### Question 5: Count forwards in steps of 5 from -10.
- Start at -10.
- Add 5 repeatedly:
- -10 + 5 = -5
- -5 + 5 = 0
- 0 + 5 = 5
- 5 + 5 = 10

Answer:
```
-10, -5, 0, 5, 10
```

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Section 2: Counting Backwards

#### Question 6: Count back in steps of 1 from 1.
- Start at 1.
- Subtract 1 repeatedly:
- 1 - 1 = 0
- 0 - 1 = -1
- -1 - 1 = -2
- -2 - 1 = -3

Answer:
```
1, 0, -1, -2, -3
```

#### Question 7: Count back in steps of 2 from 5.
- Start at 5.
- Subtract 2 repeatedly:
- 5 - 2 = 3
- 3 - 2 = 1
- 1 - 2 = -1
- -1 - 2 = -3

Answer:
```
5, 3, 1, -1, -3
```

#### Question 8: Count back in steps of 5 from 10.
- Start at 10.
- Subtract 5 repeatedly:
- 10 - 5 = 5
- 5 - 5 = 0
- 0 - 5 = -5
- -5 - 5 = -10

Answer:
```
10, 5, 0, -5, -10
```

#### Question 9: Count back in steps of 2 from 4.
- Start at 4.
- Subtract 2 repeatedly:
- 4 - 2 = 2
- 2 - 2 = 0
- 0 - 2 = -2
- -2 - 2 = -4

Answer:
```
4, 2, 0, -2, -4
```

#### Question 10: Count back in steps of 3 from 2.
- Start at 2.
- Subtract 3 repeatedly:
- 2 - 3 = -1
- -1 - 3 = -4
- -4 - 3 = -7
- -7 - 3 = -10

Answer:
```
2, -1, -4, -7, -10
```

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Final Answers

1. `-2, -1, 0, 1, 2`
2. `-3, 0, 3, 6, 9`
3. `-9, -5, -1, 3, 7`
4. `-7, -5, -3, -1, 1`
5. `-10, -5, 0, 5, 10`
6. `1, 0, -1, -2, -3`
7. `5, 3, 1, -1, -3`
8. `10, 5, 0, -5, -10`
9. `4, 2, 0, -2, -4`
10. `2, -1, -4, -7, -10`

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Boxed Final Answer

\[
\boxed{
\begin{array}{ll}
1. & -2, -1, 0, 1, 2 \\
2. & -3, 0, 3, 6, 9 \\
3. & -9, -5, -1, 3, 7 \\
4. & -7, -5, -3, -1, 1 \\
5. & -10, -5, 0, 5, 10 \\
6. & 1, 0, -1, -2, -3 \\
7. & 5, 3, 1, -1, -3 \\
8. & 10, 5, 0, -5, -10 \\
9. & 4, 2, 0, -2, -4 \\
10. & 2, -1, -4, -7, -10 \\
\end{array}
}
\]