Numbers and Decimals

Movement of the Decimal Point

Adding and Subtracting Fractions and Decimals

Multiplying Decimals

Convert Fraction to Decimal Using Long Division

Convert Recurring Decimals to Fractions

Negative Numbers

Rational Numbers and their location on a Number Line

Adding and Subtracting Negative Numbers

Multiplying and Dividing Negative Numbers

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Multiplying and Dividing Negative Numbers

Numbers and Decimals Multiplying and Dividing Negative Numbers

Courses Overview

🎬 Video Tutorial

(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).

📂 Revision Cards

Sign rules of multiplying and dividing negative numbers, showing odd negative signs give a negative result and even negative signs give a positive result. — 1) Sign Rules of Multiplying and Dividing Negative Numbers

Steps for multiplication and division with rules for odd and even negative signs determining result positivity. — 2) Multiplying and Dividing Negative Numbers (Examples)

Combining multiplication and division with examples showing the rules for odd and even numbers of negative signs, calculating from left to right. — 3) Multiplication and Division with Negative Numbers

🍪 Quiz Time - Practice Now!

0%

Multiplying and Dividing Negative Numbers

1 / 6

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

12

14

-12

-14

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

2

4

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

-15

15

30

-30

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

9

12

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

21

-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) $.

-18

-6

-10

-24

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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