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Numbers & Operations

Multiplying Numbers

When multiplying two numbers: same signs give a positive result, different signs give a negative result.

Same signs = positive, different signs = negative. Two rules, that's it!

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Worked Examples

Follow along with these step-by-step examples. Take your time — there's no rush!

1Example 1

Problem

Calculate: (−4) × 5

Step-by-Step Solution

1

The signs are different (negative × positive).

2

Multiply the absolute values: 4 × 5 = 20.

3

Different signs → negative answer.

Answer

−20

2Example 2

Problem

Calculate: (−6) × (−3)

Step-by-Step Solution

1

The signs are the same (negative × negative).

2

Multiply the absolute values: 6 × 3 = 18.

3

Same signs → positive answer.

Answer

18

3Example 3

Problem

Calculate: (−2) × (−3) × (−1)

Step-by-Step Solution

1

Work left to right: (−2) × (−3) = 6 (same signs → positive)

2

Then: 6 × (−1) = −6 (different signs → negative)

Answer

−6

4Example 4

Problem

Calculate: 7 × (−8)

Step-by-Step Solution

1

Different signs (positive × negative).

2

Multiply absolute values: 7 × 8 = 56.

3

Different signs → negative.

Answer

−56

5Example 5

Problem

Calculate: (−9) × (−9)

Step-by-Step Solution

1

Same signs (negative × negative).

2

Multiply absolute values: 9 × 9 = 81.

3

Same signs → positive.

Answer

81

Your Turn — Practice Problems

Try all 5 problems on your own first. Write out your work — that's how it sticks!

💡 Tip: Don't peek at the answers until you've genuinely tried each one.

1

(−7) × 3

2

(−5) × (−4)

3

8 × (−2)

4

(−1) × (−1) × (−1)

5

(−9) × 0

6

(−6) × (−6)

7

4 × (−11)

8

(−3) × (−3) × 2

9

(−1) × 15

10

(−2) × (−5) × (−1)

11

(−8) × 7

12

(−10) × (−10)

Finished all 12? Give yourself a pat on the back — then check your work!

Keep going — you're on a roll!

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