7.NS.A.2-Day 1-Multiplying & Dividing Integers

​7.N.S.A.2-Topic 1

By Jessica Freeman

Topic 1: What Are Rational Numbers?

A rational number is any number that can be written as a __________ of two integers, where the denominator is not zero.

​All integers, fractions, and decimals that terminate or repeat are __________ numbers.

Multiple Choice

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a ratio.
• A rational number cannot be a repeating  decimal.

Multiple Choice

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Multiple Choice

Which number is a rational number ?

• 1/4
• π
• √3
• ∛25

Multiple Choice

Irrational Numbers....

• cannot be represented as a simple fraction
• can be represented as a fraction
• can be a repeating decimal

Multiple Choice

Is -5/8 a rational number?

• yes
• no

Multiple Choice

Which of the following numbers is rational?

• √8
• √16
• √50
• √75

Multiple Choice

Which number is a rational number?

• 2.25
• -8.78654684598.....
• Square root of 99
• 3.14...

Multiple Choice

5/2 $$Rational\ or\ irrational?$$  

• Rational
• Irrational

Multiple Choice

4.032 $$Rational\ or\ irrational?$$  

• Rational 
• Irrational

Multiple Choice

√31 $$Rational\ or\ irrational?$$  

• Rational
• Irrational

Multiple Choice

Which number is rational?

• ∛51
• √94
• ∛12
• √64

Poll

I can identify rational and irrational numbers?

• Always

• Sometimes

• Never

Topic 2-Multiplying Signed Numbers

Topic 2-Multiplying Signed Numbers

Example 1:

(-3) × 4 =

Example 2:

(-2) × (-5) =

Topic 2-Multiplying Signed Numbers

​Real-World Example:

If a submarine drops –50 feet per minute for 4 minutes, the total change in depth is

(-50) × 4 =

Multiple Choice

What is the product of (-4) × 3?

• 12

• -7

• -12

Categorize

Options (6)

-15 x -27

-30 x 48

52 x 25

(66)(-81)

-5 x 2 x -4

-3 x -2 x -9

Organize each problem based on if the product will be Positive or Negative.

Positive

Negative

Match

Match the following:

• (-5)(4)

• (2)(8)

• (-1)(-1)

• (-6)(3)

• (-8)(-4)

-20

16

1

-18

32

• -20

• 16

• 1

• -18

• 32

Match

Match the following

• (-7)(-6)

• (3)(-8)

• 27/-3

• 0/9

• -72/-8

42

-24

-9

0

9

• 42

• -24

• -9

• 0

• 9

Multiple Choice

Which expression DOES NOT have a product of −18?

• −2 ∗ −9
• −6 ∗ 3
• −3 ∗ 6
• −9 ∗ 2

Drag and Drop

The temperature dropped 3 degrees every hour for six hours.  How much did the temperature drop in all?

Placeholder

Drag these tiles and drop them in the correct blank above

-18

9

18

-9

Multiple Choice

Every Friday for 8 weeks Kylan withdrew $35 from his savings account.  How much did he withdraw in all?

• -280
• 280
• 27
• -27

Match

Match the following

• $$-12\div\left(-4\right)$$

• $$-\frac{72}{8}$$

• $$24\ \div\left(-8\right)$$

• $$\frac{-12}{3}$$

• $$\frac{-72}{-8}$$

• $$3$$

• $$-9$$

• $$-3$$

• $$-4$$

• $$9$$

Multiple Choice

$$-20\div2$$  

• 10

• -10

• -40

• 40

Multiple Choice

$$-63\div-9$$  

• 8

• -8

• 7

• -7

Multiple Choice

• 12
• -12
• -11
• 11

Multiple Choice

Divide.

$$\frac{-9}{-3}=$$  

• 3

• -3

Multiple Choice

Lesson Check: Evaluate the expression: $$\frac{-60}{-4}=\ ?$$  

• 12

• -15

• 15

• -12

Multiple Choice

During a 5-day workweek, the price of a stock decreased by 60 points. What integer represents the average daily change in the stock price for the workweek?

• -12

• -15

• -6

• 17

Multiple Choice

The number of students attending Martin Middle School decreased by 80 over a 10-year period. What integer represents the average yearly change in enrollment?

• 800

• 72

• -10

• -8

Multiple Choice

What is (-6) × (-2)?

• -12

• 12

• -8

Multiple Choice

What is (-2) × 3 × (-1)? (Three factors!)

• -6

• 6

• 5

Multiple Choice

What is (-7) × 1?

• -7

• 7

• -6

Multiple Choice

What is the result of (-9) × 0?

• -9

• 9

• 0

​Topic 3-Dividing Signed Numbers

​Topic 3-Dividing Signed Numbers

​Examples:

1. 24 ÷ (-6) =

2. (-15) ÷ (-3) =

Remember: You can’t divide by zero because the result is undefined.

​Topic 3-Dividing Signed Numbers

Real-World Example:

A car travels –180 miles in 6 hours.

(-180) ÷ 6 =

The speed is ________ miles per hour (the direction is backward or below zero).

Multiple Choice

• -4
• 4
• 16
• -16

Multiple Choice

• 4
• -4
• 64
• -46

Multiple Choice

• 7
• -7
• 63
• 63

Multiple Choice

• -4
• 4
• 3
• -3

Multiple Choice

• -20
• 20
• 6
• -6

Multiple Choice

• 8
• -8
• 7
• -7

Multiple Choice

• 12
• -12
• -11
• 11

Multiple Choice

• 6
• -6
• 7
• -7

Multiple Choice

• 21
• -21
• 17
• -17

Multiple Choice

• 5
• -5
• -6
• 6

Multiple Choice

• 4
• -4
• -3
• 3

Multiple Choice

• 7
• -7
• 8
• -8

Multiple Choice

• 25
• -25
• 6
• -6

Multiple Choice

• 5
• -5
• -6
• 6

Multiple Choice

• 2
• -2
• -3
• 3

Multiple Choice

• 4
• -4
• 3
• -3

Multiple Choice

• 5
• -5
• -6
• 6

Multiple Choice

• -9
• 9
• -10
• 10

Multiple Choice

• 8
• -8
• -7
• 7

Multiple Choice

• 15
• -15
• -10
• 10