Integers

Integers

Integer

Counting numbers, natural numbers, both positive and negative numbers - including 0

Multiple Choice

What is an integer?

• A type of insect

• Any number

• A WHOLE number

• A decimal number

Multiple Choice

An example of a whole number is:

• 4/9

• $\pi$

• 5.2

• 17

Multiple Choice

An example of an integer is...

• 9.1

• 8/9

• -9

• -2.3

Multiple Choice

Is 2/3 an integer?

• Yes

• No

Open Ended

Write an example of an integer.

Integer Keywords

October 5th

Copy down and put these Integer Keywords in a safe spot:

Using your notes, answer if the keyword is negative or positive...

Multiple Select

Which of the following words/phrases would represent a POSITIVE integer?

THERE IS MORE THAN ONE CORRECT ANSWER- CHOOSE THEM ALL!!!

• gain

• withdrawal

• deposit

• decrease

• increase

Multiple Choice

withdrawal in savings account

• Positive

• Negative

• Zero

Multiple Choice

the boat was at sea level

• positive

• negative

• zero

Multiple Choice

Profit of 90

• 90

• -90

• 0

Multiple Choice

Debit of 55

• 55

• -55

• 0

Multiple Choice

Which context could be represented by the integer 4?

• 4 degrees below 0

• 4 feet above sea level

• Withdraw $4 from a bank account

• Debit $4 from an account

What are opposites?

The opposite number, is a number that is the same distant from zero on the number line in the opposite direction.

Zero is neither positive or negative and does not have an opposite.

Opposite notation Uses (parentheses) and the - symbol

-(a) = -a

-(-a) = a

Multiple Choice

Zero is ___________

• positive

• negative

• neither

Multiple Choice

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

(click on the picture to see it better)

• 0

• -7

• 7

• 1

Multiple Choice

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

• 2

• -1

• 1

• 0

Multiple Choice

The opposite value of -12 is ____.

• -12

• 0

• -0

• 12

Multiple Choice

What is the opposite of 27?

• -27

• 27

• 0

Multiple Choice

READ CAREFULLY:

What is the opposite, opposite of -10.

• 10

• 0

• -10

Multiple Choice

-(5)=

• 5

• -5

• 0

• 0.5

Multiple Choice

-(-2)=

• 2

• -2

• 0

• 1/2

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 true about opposites?

• They are on the same side of zero

• They are the same distance away from zero.

• They are not really opposites

Absolute Value

• The distance a value is from zero

• Distance cannot be negative

• If you walk forward 3 steps or you walked backward 3 steps, you still covered the same amount of ground

Multiple Choice

What is absolute value?

• The value of a number

• The opposite of a number

• The distance of a number is from zero

• The multiplicative inverse of a number

Multiple Choice

Is the absolute value of a number ever negative?

• yes

• no

• sometimes

Absolute Value notation

the parallel bars! NOT parentheses!

 $\left|a\right|=a$ 
 $-\left|x\right|=-x$   

The absolute value is what is between the bars!

Multiple Choice

What is the absolute value of |572|.

• 275

• -572

• 57

• 572

Multiple Choice

| –3 |

• 3

• -3

• 0.30

• 30

Multiple Choice

The absolute value of |3| is -3.

• True

• False

Multiple Choice

True or False. The |-55| and |55| are equal.

• True

• False

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.

Ordering & Comparing Integers

Multiple Choice

The RED side of the number line are the ___________ numbers.

• positve

• negative

Multiple Choice

The BLUE side of the number line are the ___________ numbers.

• positve

• negative

Multiple Choice

Positive integers are ____ than zero

• greater

• equal

• smaller

Multiple Choice

Negative integers are ____ than zero

• greater

• equal

• less

Multiple Choice

A positive number is __________ greater than a negative number.

• never

• always

Multiple Choice

Which is greater?

Hint: use the number line

• -6

• 0

• 5

• -1

Multiple Choice

Which is greater?

Don't be tricked :)

• -6

• 0

• -10

Multiple Choice

The integer 0 is greater than any negative number.

• True

• False

Multiple Choice

Which number is the least?

• -8

• -5

• 0

• 1

• 5

Using these symbols for notation

Multiple Choice

What does this symbol mean?

• less than

• absolute value

• greater than

• equal

Multiple Choice

What is this symbol mean?

• less than

• none of these

• greater than

• equal

Multiple Choice

What is this symbol?

• less than

• none of these

• greater than

• equal

Multiple Choice

What does this symbol mean?

 $>$  

• Less than

• Greater than

• Equal 

• point

Multiple Choice

What does this symbol mean?

 $<$  

• Less than

• Greater than

• Equal to

• I still don't know

Multiple Choice

Which sign completes the question?

• >

• <

• =

Multiple Choice

What sign completes the question?

• >

• <

• =

Multiple Choice

Which sign completes the question?

• >

• <

• =

Multiple Choice

What sign completes the question?

• >

• <

• =

Multiple Choice

-10 __ -100

• >

• <

• =

Multiple Choice

-11 ____ 0

• <

• >

• =

Multiple Choice

Compare: -5 __ -5

• >

• <

• =

Multiple Choice

Compare: -4 __ 4

• >

• <

• =

Multiple Choice

Compare these Integers using the symbols:

< > =

| -4 | __ 4

• <

• >

• =

Multiple Choice

Compare these Integers using the symbols:

< > =

| -8 | __ 8

• <

• >

• =

Multiple Choice

Compare these Integers using the symbols:

< > =

| -13 | ____ | 4 |

• <

• >

• =

Multiple Choice

Order from least to greatest:

[10, -5, 3, 16, -1, 0, 1]

• -1, -5, 0, 1, 3, 10, 16

• 16, 10, 3, 1, 0, -1, -5

• -5, -1, 0, 1, 3, 10, 16

• 0, -1, 1, 3, -5, 10, 16