Multiplying and Dividing Negatives Textbook Exercise - Corbettmaths - Free Printable

Let's solve Question 1 and Question 2 step by step, focusing on multiplication involving negative numbers.

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🔍 Rules for Multiplying Negative Numbers:

1. Positive × Positive = Positive
Example: $ 2 \times 3 = 6 $

2. Negative × Positive = Negative
Example: $ -2 \times 3 = -6 $

3. Positive × Negative = Negative
Example: $ 2 \times -3 = -6 $

4. Negative × Negative = Positive
Example: $ -2 \times -3 = 6 $

These rules apply regardless of order.

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## ✔ Question 1: Multiply the following

We’ll go through each one:

(a) $ 2 \times -3 $
→ Positive × Negative = Negative
$ = -6 $

(b) $ -4 \times 3 $
→ Negative × Positive = Negative
$ = -12 $

(c) $ -5 \times 5 $
→ Negative × Positive = Negative
$ = -25 $

(d) $ -7 \times -2 $
→ Negative × Negative = Positive
$ = 14 $

(e) $ -6 \times -3 $
→ Negative × Negative = Positive
$ = 18 $

(f) $ 8 \times -4 $
→ Positive × Negative = Negative
$ = -32 $

(g) $ -9 \times 3 $
→ Negative × Positive = Negative
$ = -27 $

(h) $ -5 \times -8 $
→ Negative × Negative = Positive
$ = 40 $

(i) $ -9 \times 7 $
→ Negative × Positive = Negative
$ = -63 $

(j) $ 10 \times -8 $
→ Positive × Negative = Negative
$ = -80 $

(k) $ 7 \times -4 $
→ Positive × Negative = Negative
$ = -28 $

(l) $ 6 \times 8 $
→ Positive × Positive = Positive
$ = 48 $

(m) $ -11 \times 3 $
→ Negative × Positive = Negative
$ = -33 $

(n) $ 4 \times -15 $
→ Positive × Negative = Negative
$ = -60 $

(o) $ -12 \times -12 $
→ Negative × Negative = Positive
$ = 144 $

(p) $ -5 \times 7 $
→ Negative × Positive = Negative
$ = -35 $

(q) $ 9 \times -8 $
→ Positive × Negative = Negative
$ = -72 $

(r) $ -7 \times -8 $
→ Negative × Negative = Positive
$ = 56 $

(s) $ 12 \times -6 $
→ Positive × Negative = Negative
$ = -72 $

(t) $ 4 \times -13 $
→ Positive × Negative = Negative
$ = -52 $

(u) $ -11 \times 10 $
→ Negative × Positive = Negative
$ = -110 $

(v) $ -20 \times -6 $
→ Negative × Negative = Positive
$ = 120 $

(w) $ 14 \times 7 $
→ Positive × Positive = Positive
$ = 98 $

(x) $ -18 \times -13 $
→ Negative × Negative = Positive
$ = 234 $

(y) $ 25 \times -7 $
→ Positive × Negative = Negative
$ = -175 $

(z) $ -16 \times 21 $
→ Negative × Positive = Negative
$ = -336 $

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📌 Summary of Question 1 Answers:

| Letter | Answer |
|--------|--------|
| (a) | -6 |
| (b) | -12 |
| (c) | -25 |
| (d) | 14 |
| (e) | 18 |
| (f) | -32 |
| (g) | -27 |
| (h) | 40 |
| (i) | -63 |
| (j) | -80 |
| (k) | -28 |
| (l) | 48 |
| (m) | -33 |
| (n) | -60 |
| (o) | 144 |
| (p) | -35 |
| (q) | -72 |
| (r) | 56 |
| (s) | -72 |
| (t) | -52 |
| (u) | -110 |
| (v) | 120 |
| (w) | 98 |
| (x) | 234 |
| (y) | -175 |
| (z) | -336 |

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## ✔ Question 2: Multiply the following (multiple numbers)

We'll use the same sign rules and multiply step-by-step.

(a) $ 2 \times 3 \times -2 $
First: $ 2 \times 3 = 6 $
Then: $ 6 \times -2 = -12 $
→ Final: -12

(b) $ -3 \times 2 \times 5 $
First: $ -3 \times 2 = -6 $
Then: $ -6 \times 5 = -30 $
→ Final: -30

(c) $ -5 \times -6 \times 2 $
First: $ -5 \times -6 = 30 $ (negative × negative = positive)
Then: $ 30 \times 2 = 60 $
→ Final: 60

(d) $ 10 \times -3 \times -4 $
First: $ 10 \times -3 = -30 $
Then: $ -30 \times -4 = 120 $ (negative × negative = positive)
→ Final: 120

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📌 Summary of Question 2 Answers:

| Letter | Answer |
|--------|--------|
| (a) | -12 |
| (b) | -30 |
| (c) | 60 |
| (d) | 120 |

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✔ Final Answers:

#### Question 1:
(a) -6 (b) -12 (c) -25 (d) 14 (e) 18 (f) -32 (g) -27 (h) 40
(i) -63 (j) -80 (k) -28 (l) 48 (m) -33 (n) -60 (o) 144 (p) -35
(q) -72 (r) 56 (s) -72 (t) -52 (u) -110 (v) 120 (w) 98 (x) 234
(y) -175 (z) -336

#### Question 2:
(a) -12 (b) -30 (c) 60 (d) 120

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