Introducing Integers

Multiple Choice

Which set of integers is written in order from GREATEST to LEAST?

• -3, -9, -6
• -3, 2, 5
• 2, -1, -3
• 4, 10, 12

Using a number line

• Positives are on one side

• Negatives are on the opposite side of the positives

• 0 is Neutral, it is not positive or negative

• 0 is referred to as sea level when using geographic elevations

Multiple Choice

Which number line shows the correct placement for this expression:

-(-6)

Multiple Choice

What is point A?

• 6

• 1

• -2

Multiple Choice

Which number is bigger?

30 or -50

• -50

• 30

Multiple Choice

Is this correct?

$$10<-18$$  

• No

• Yes

Positive and Negative Numbers

Understand, Compare and Order

Examples of Positive and Negative Numbers

Altitude - above sea level is positive, below sea level is negative.

Temperature - temperatures above zero are positive, below zero are negative.

Money - savings and deposits are positive, loans and withdrawals are negative.

Science - protons have a positive charge and electrons have a negative charge.

Sports- a gain of yards/points is positive, loss of yards/points is negative

Multiple Select

Select ALL the scenarios that describe a positive integer

• Loan of $10

• deposit of $20

• 4 feet below sea level

• $$8\degree$$   above freezing

• gain of 6 pts 

Multiple Select

Select ALL the scenarios that describe a negative integer.

• a loan of $40

• 12 feet above sea level

• $$2\degree$$ below freezing

• gain of 15 yards

• a withdrawl of $100

Multiple Choice

The opposite of a negative is always a ___________

• positive
• negative
• absolute value
• inequality

Multiple Choice

How do you know that 5 and -5 are opposites? 

• Because they both have a 5 
• They are the same distance from 0 and on opposite sides of 0 
• Because they are the same 
• They both are on a number line 

Multiple Choice

What is the opposite of the integer on the number line?

• 0

• -7

• 7

• 1

Multiple Choice

What is the opposite of 0?

• -0

• +0

• 0

Multiple Choice

What is the opposite of the integer on the number line?

• 2

• -1

• 1

• 0

Multiple Select

Which numbers are integers?

Select ALL that apply.

• -4

• +1.5

• $$\frac{1}{2}$$

• 8

• $$\frac{-6}{1}$$

Multiple Choice

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Multiple Choice

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.

Multiple Choice

What is the absolute value of |-26|

• 26

• -26

Multiple Choice

|20|

• 20

• -20

Comparing Integers

• You can use a number line to compare integers

• A number farther to the left is less than a number farther to the right.

• A number farther to the right is greater than a number farther to the left.

Multiple Choice

Compare these Integers using the symbols:

< , > , or =

3 ____ -6

• <

• >

• =

Multiple Choice

Compare these Integers using the symbols:

< , > , or =

18 _____ 23

• >

• <

• =

Multiple Choice

Compare these Integers using the symbols:

< , > , or =

11 _____ -23

• >

• <

• =

Multiple Choice

Order from least to greatest:

[1, -2, 5, -5, 3, -1]

• -1, 1, -2, 3, 5, -5

• 1, -1, -2, 3, -5, 5

• 5, -5, 3, -2, -1, 1

• -5, -2, -1, 1, 3, 5

Multiple Choice

Order from least to greatest:

[1, -2, 5, -5, 3, -1]

• -1, 1, -2, 3, 5, -5

• 1, -1, -2, 3, -5, 5

• 5, -5, 3, -2, -1, 1

• -5, -2, -1, 1, 3, 5

Positive and Negative Numbers

Multiple Choice

Which number is largest?

• 25

• -6548

• 0

• -5

Which number is bigger?

• Just like with positives, negative numbers are bigger and smaller than others.

• All negative numbers are smaller than positive numbers and 0

• Negative numbers are opposite in rank than positive.

• Positive numbers get bigger as they increase 1, 2, 3

• Negative number get smaller as they go from -1, -2 , -3

Open Ended

How do you know if a number is increasing or decreasing on a number line?

Numbers on the Number Line

• The left side of 0 is negative

• The right side of 0 is positive

• As number increase, they move towards the right

• As numbers decrease, they move towards the left

Multiple Select

Check all the numbers that are negative

• 4565

• -12

• 845

• -1253

• -88751

Open Ended

How can you tell if a number is positive or negative?

Multiple Choice

What is an integer?

• A decimal

• A fraction

• A negative number only

• Negative and positive whole numbers and 0

Multiple Choice

What is the opposite of 142?

• -142
• 142

Multiple Choice

Which letter is pointing to the number 0.2?

• I
• a
• k
• j

Multiple Choice

Which letter is pointing to the number 1.1?

• g
• f
• k
• a

Open Ended

What can you say about the animals and their positions relative to sea level?

Multiple Choice

$$what\ is\ \frac{8}{10}\ as\ a\ decimal?$$   

• 0.8

• 0.08

• 0.008

• 8.0

Multiple Choice

Which symbol is a decimal point?

• ,

• .

• ;

• /

Multiple Choice

Which of these symbols means "Greater than or equal to"

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Which of these symbols means "Greater than"

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

I am given the inequality 2 > x. What kind of circle do I mark on 2?

• open

• closed

Multiple Choice

If I see this symbol, what type of circle do I use to mark the number line?

$$\le$$  

• closed

• Open

Multiple Choice

Select the inequality shown

• x > 0

• x ≥ 0

• x < 0

• x ≤ 0

Multiple Choice

Select the inequality shown

• x > 5

• x ≥ 5

• x < 5

• x ≤ 5

Multiple Choice

Select the inequality shown

• x > 3

• x ≥ 3

• x < 3

• x ≤ 3

Multiple Choice

Select the inequality shown

• x > 1

• x ≥ 1

• x < 1

• x ≤ 1