Illustrative Math Algebra

Multiplying Rational Numbers

Multiplying rational numbers rules

​If the signs are the same, the answer will be positive





if the signs are different, the answer will be negative

-7 x 8 = -56 14 x -3 = -42

-4 x -9 = 36 10 x 13 = 130

Poll

Will the product be positive or negative?

$$-3.04\left(-5.6\right)$$  

• Positive

• Negative

Poll

Will the product be positive or negative?

$$-3.3\left(6.2\right)$$  

• Positive

• Negative

Multiple Choice

(2.5)(-1.2)

• -3.7

• 3.7

• 3

• -3

Poll

Will the product be positive or negative?

$$-5\left(2\ \frac{1}{3}\right)$$  

• Positive

• Negative

Poll

Can the fraction be simplified?

$$-\frac{35}{3}$$  

• Yes

• No

• I don't know 

Poll

Will the product be positive or negative?

$$\left(\frac{2}{5}\right)\left(\frac{-1}{4}\right)$$  

• Positive

• Negative

Poll

Can the fraction be simplified?

$$-\frac{2}{20}$$  

• Yes

• No

• I don't know

Multiple Choice

Multiply. Be sure to simplify your answer!!

• 27/40

• -27/40

• 5/6

• -5/6

Multiple Choice

Gina hiked down a canyon and stopped each time she descended ½ a mile to rest. She hiked a total of 4 sections. What is her overall change in elevation?

Which number sentence represents the scenario?

• $$4\left(-\frac{1}{2}\right)$$

• $$4\ +\ \frac{-1}{2}$$

• $$4\ -\ \left(\frac{-1}{2}\right)$$

• $$4\div\left(-\frac{1}{2}\right)$$

Distributive Property

a(b+c)= ab + ac

​

or

​

a(b-c) = ab-ac​

​

​

Multiple Choice

Solve the following equation using the Distributive Property.

• 54

• 42

• 21

• 63

Multiple Choice

8(3 + 4) =

• 24 + 32
• 11 + 12
• 123 + 124
• 5 + 4

Multiple Choice

12(3 + 4) =

• 36 + 48
• 15 + 16
• 123 + 124
• 0.84

Multiple Choice

2(5 + 4)

• (2 + 5) + (2 + 4)

• (2 + 5) x (2 + 4)

• (2 x 5) + (2 x 4)

For the problem 2(5+3)

• 2 is the number before the ( ) so you will need to multiply it by the 5 and 3

• (2x5)+(2x3)

Multiple Choice

Use your notes to write this equation in another form...

2(5+3)

• 15+10

• 10+6

• 6+15

Multiple Choice

Use your notes to write this equation in another form...

9(4+3)

• 9(4)+9(3)

• 3(4)+9(3)

• 4(9)+4(3)

For the problem 9(4+3)...

• The 9 is outside the parenthesis so this is the number that needs to be multiplied by EVERYTHING inside the parenethesis

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