Integers exercise for Grade 6 - Free Printable

Let's solve each part of this Maths Worksheet step by step, focusing on integers (positive and negative numbers).

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1. Do these additions.

#### a) $-3 + 4 = ?$

Think: Starting at $-3$ on the number line, move 4 steps to the right.

$$
-3 + 4 = 1
$$

✔ Answer: 1

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#### b) $3 + (-7) = ?$

This is the same as $3 - 7$

$$
3 - 7 = -4
$$

✔ Answer: -4

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#### c) $9 + (-5) = ?$

Same as $9 - 5$

$$
9 - 5 = 4
$$

✔ Answer: 4

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2. Do these subtractions.

#### a) $-1 - 5 = ?$

Subtracting a positive number means moving left on the number line:

$$
-1 - 5 = -6
$$

✔ Answer: -6

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#### b) $3 - (-5) = ?$

Subtracting a negative is like adding a positive:

$$
3 - (-5) = 3 + 5 = 8
$$

✔ Answer: 8

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#### c) $-3 - 7 = ?$

$$
-3 - 7 = -10
$$

✔ Answer: -10

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3. Work out:

#### a) $4 + (-6) = ?$

Same as $4 - 6 = -2$

✔ Answer: -2

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#### b) $-4 + 6 = ?$

Start at $-4$, move 6 steps right:

$$
-4 + 6 = 2
$$

✔ Answer: 2

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#### c) $-4 - (-6) = ?$

Subtracting a negative → add the positive:

$$
-4 - (-6) = -4 + 6 = 2
$$

✔ Answer: 2

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4. Copy and complete this addition table.

We have a table with rows: 2 and -6, and columns: 4 and -5.

We need to compute:

| + | 4 | -5 |
|-------|-------|-------|
| 2 | 2+4=6 | 2+(-5)= -3 |
| -6 | -6+4= -2 | -6+(-5)= -11 |

So the completed table is:

| + | 4 | -5 |
|-------|-------|-------|
| 2 | 6 | -3 |
| -6 | -2 | -11 |

✔ Completed Table:

| + | 4 | -5 |
|-------|-------|-------|
| 2 | 6 | -3 |
| -6 | -2 | -11 |

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✔ Final Answers Summary:

#### 1. Additions
a) $-3 + 4 = \boxed{1}$
b) $3 + (-7) = \boxed{-4}$
c) $9 + (-5) = \boxed{4}$

#### 2. Subtractions
a) $-1 - 5 = \boxed{-6}$
b) $3 - (-5) = \boxed{8}$
c) $-3 - 7 = \boxed{-10}$

#### 3. Work out
a) $4 + (-6) = \boxed{-2}$
b) $-4 + 6 = \boxed{2}$
c) $-4 - (-6) = \boxed{2}$

#### 4. Addition Table
| + | 4 | -5 |
|-------|-------|-------|
| 2 | 6 | -3 |
| -6 | -2 | -11 |

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🎯 Tip for Remembering:
- Adding a negative is like subtracting.
- Subtracting a negative is like adding.
- Use the number line or think in terms of debts and credits.

You're doing great! 👍
Job well done! 🎉