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

Fill in the Blanks

The product or quotient of two integers with the same sign is

Fill in the Blanks

The product or quotient of two integers with different signs is

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

Fill in the Blanks

The price of jeans was reduced $6 per week for 7 weeks.  By how much did the price of the jeans change over the 7 weeks?

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

Fill in the Blanks

$\frac{-342}{-3}$

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

Fill in the Blanks

$\frac{210}{-15}$  

Multiple Choice

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

• 12

• -15

• 15

• -12

Fill in the Blanks

$\frac{44}{-4}$

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