Chapter 9 Integers

Chapter 9 Integers

For the first part of this lesson you will need to use your reading guide.

Multiple Select

How would you represent 13 below sea level?

• Positive Integer

• Negative integer

Fill in the Blank

The zero is called the _________ on the number line.

Multiple Choice

When looking at the set {-5, 0, 3, 5}, which are classified as the integers?

• 0, 3, 5

• -5

• Only zero

• All of them

Fill in the Blank

The simplest way to represent integers is by using a __________ ________.

Multiple Select

The additive inverse for -3 is.

• -3

• 3

Fill in the Blank

When you move from left to right on a number line the numbers get ________.

Fill in the Blank

The distance between any number and 0 is called ________ _____.

Multiple Select

Add: -8 + (-6)

• -14

• -2

• 2

• 14

Multiple Choice

Subtract: -20-3

• -17

• 17

• -23

Multiple Choice

When multiplying or dividing integers, different signs will give an

• positive

• negative

Fill in the Blank

Dividing any number by zero is called _______________.

Multiple Choice

If an exponent is even the answer will be:

• negative

• positive

Multiple Choice

Rational numbers are:

• fractions

• integers

• whole numbers

• all of the above

Multiple Choice

Irrational numbers:

• are fractions

• are integers

• never terminate

• all of the above

Integers

• The rules integers are simple.

• When adding the same sign will give you the same sign as an answer. Ex. 3 + 4 = 7 or -3 + -4 = -7

• When adding and they are opposite signs, you need to subtract the values and assign the answer with the sign that has the biggest value. Ex: -20 + 4= - 16

Multiple Choice

10 + (-4) = ?

• -6
• 6
• 14
• -14

Multiple Choice

-9 + (-5)

• -14
• 14
• -4

Multiple Choice

3 + -7

• 10
• 4
• -10
• -4

Multiple Choice

-2 + 4

• -2

• 2

• 0

• -4

Subtracting integers

• Again if they are the positive signs subtract and keep the sign. Ex: 3 - 2= 1

• If they are both negative place a + sign in between and add keeping the same sign. Ex: - 3 - 2= -3 + -2= -5

• A double negative -(-2) is a positive 2.

• So - 3 -(-2) = -3 + 2 for -1.

Multiple Choice

6 - 2 =

• 4

• -4

• 8

• -8

Multiple Choice

0 - 7 =

• 0

• 7

• -7

• 1

Multiple Choice

19 - (-19)

• 0
• 36
• 26
• 38

Multiple Choice

-3 - 2

• -1
• -5
• 1
• 6

Multiplying and dividing integers

• Rules are simple: same sign will give a positive answer Ex: -3 x -5 = 15

• Opposite signs will give a negative answer. Ex. 

   $-20\div4\ =\ -5$  

• 
  

• 
  

Multiple Choice

44/-4=

• 11
• -8
• -11
• -1/11

Multiple Choice

(-25) ÷ (-5)

• 5
• -5
• -20
• -30

Multiple Choice

-20/5=

• -4
• 4
• -100
• 100

Multiple Choice

(-9)x(-8)

• -72

• 72

• 81

• -81

Multiple Choice

If I have a negative multiplied with a positive, what will the answer be?

• Positive 
• Negative 

Multiple Choice

(-7) x (-7)

• 14

• -14

• 49

• -49

Absolute value

• Absolute value is the spaces a number is from zero.

•  $\left|5\right|$  represents the absolute value of 5.

• It does not matter if the value in the bracket is negative or positive it will be only the value of spaces represented by the number.

• If there is a negative sign outside the bracket then the overall answer will be negative.

•  $-\left|-6\right|$  The absolute value is 6 but the - outside the bracket makes the term -.

Multiple Choice

Compare |-5| to the |-10|

• |-5| > |-10|
• |-5| = |-10|
• |-5| < |-10|

Multiple Choice

What is the absolute value of |-26|

• 26
• -26
• -36
• 36

Multiple Choice

| –3 |

• 3
• -3
• 0.30
• 30

Multiple Choice

Is absolute value always positive?

• yes
• no

Multiple Choice

Which has the same absolute value as -55?

• 0
• -1
• 1
• 55

Rational and irrational numbers

• Look at the venn diagram in your textbook on page 582. This represents the real number system.

• Rational numbers are those that can be written in fraction form and can be terminated. Remember we discussed terminated numbers in chapter 3.

• Irrational numbers are non-terminating and will not be in fraction form.

Multiple Choice

Irrational numbers can be written in the form of a fraction 

• False
• True

Multiple Choice

includes integers, fractions, terminating and repeating decimals.

• Rational Numbers
• Irrational Numbers

Multiple Select

0.66666666666......is

• Rational

• Irrational

• Terminating Decimal

• Repeating Decimal

Multiple Select

Select the irrational numbers

•  $\sqrt{50}$  

• 2

•  $\pi$  

• 2.3454128904

Multiple Choice

A rational number can be written as a fraction.

• true

• false

Multiple Select

Identify the rational numbers.

• $\sqrt{4}$

• $\pi$

• $3.5$

• $\sqrt{2}$

• $\frac{2}{3}$

Multiple Choice

If an exponent is even the answer will be:

• negative

• positive