Multiplying and Dividing Negative Numbers

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(0:01) Sign Rules for Multiplying and Dividing Negative Numbers: Odd number of negative signs → Negative result. Even number of negative signs → Positive result.
(0:39) How to Multiply and Divide Negative Negatives (Examples):
(-2) × (-5) × (-3) = -30 (3 negatives → result is negative). (-24) ÷ 4 ÷ (-2) = 3 (2 negatives → result is positive).
(1:52) Multiplication and Division with Negative Numbers (Examples): (-28) ÷ 4 × (-3) = 21 (2 negatives → result is positive). (-15) × (-3) ÷ (-5) = -9 (3 negatives → result is negative).

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Multiplying and Dividing Negative Numbers

1 / 6

Q: Simplify: $7 \times (- 2)$ .

-14

-12

Feedback: Not quite! There's one negative sign, so the result is negative. $7 \times - 2 = - 14$ .

Feedback: Well done! There's one negative sign, so the result is negative. $7 \times - 2 = - 14$ .

2 / 6

Q: Simplify: $(- 8) \div 4 \times (- 2)$ .

-4

-2

Feedback: Not quite! Start with $- 8 \div 4 = - 2$ . Then, multiply $- 2 \times - 2$ . Since there are two negative signs, the result is positive 4.

Feedback: Well done! Start with $- 8 \div 4 = - 2$ . Then, multiply $- 2 \times - 2$ . Since there are two negative signs, the result is positive 4.

3 / 6

Q: Simplify: $(- 6) \div 2 \times (- 5)$ .

-30

-15

Feedback: Not quite! First, divide $- 6 \div 2 = - 3$ , then multiply $- 3 \times - 5 = 15$ . To double-check, since there are two negative signs in total, the result must be positive.

Feedback: Well done! First, divide $- 6 \div 2 = - 3$ , then multiply $- 3 \times - 5 = 15$ . To double-check, since there are two negative signs in total, the result must be positive.

4 / 6

Q: Simplify: $(- 6) \div 2 \times (- 4) + (- 3)$ .

-12

-9

Feedback: Not quite! First, $- 6 \div 2 = - 3$ . Then, $- 3 \times - 4 = 12$ , and finally add $12 + (- 3) = 9$ .

Feedback: Well done! First, $- 6 \div 2 = - 3$ . Then, $- 3 \times - 4 = 12$ , and finally add $12 + (- 3) = 9$ .

5 / 6

Q: Simplify: $(- 15) \div (- 3) \times (- 5) + (- 4)$ .

-29

-21

-5

Feedback: Not quite! First, divide $- 15 \div - 3 = 5$ , then multiply $5 \times - 5 = - 25$ , and finally add $- 25 + (- 4) = - 29$ .

Feedback: Well done! First, divide $- 15 \div - 3 = 5$ , then multiply $5 \times - 5 = - 25$ , and finally add $- 25 + (- 4) = - 29$ .

6 / 6

Q: Simplify: $(- 24) \div (- 3) \times (- 2) + (- 6) \times (- 1)$ .

-6

-10

-24

-18

Feedback: Not quite! Start by dividing $- 24 \div - 3 = 8$ . Next, multiply $8 \times - 2 = - 16$ . $(- 6) \times (- 1)$ becomes $6$ . Finally add $- 16 + 6 = - 10$ .

Feedback: Well done! Start by dividing $- 24 \div - 3 = 8$ . Next, multiply $8 \times - 2 = - 16$ . $(- 6) \times (- 1)$ becomes $6$ . Finally add $- 16 + 6 = - 10$ .

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Multiplying and Dividing Negative Numbers

🎬 Video Tutorial

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