Intro to Approx Irrational #s/Classification of Real #s

AJH 8 Math Intro to Approximating Irrational Numbers/ Classification of Real Numbers Review

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Multiple Choice

3²

• 3

• 6

• 9

• 5

Multiple Choice

8²

• 82

• 84

• 64

• 16

Multiple Choice

11²

• 121

• 110

• 22

• 131

Multiple Choice

7²

• 7

• 14

• 49

• 72

Multiple Choice

14²

• 196

• 169

• 141

• 28

Multiple Choice

$$\sqrt[]{81}$$

• 8

• 7

• 10

• 9

Multiple Choice

$$\sqrt[]{64}$$

• 3

• 8

• 7

• 6

Multiple Choice

$$\sqrt[]{196}$$

• 15

• 13

• 12

• 14

Multiple Choice

$$\sqrt[]{225}$$

• 13

• 16

• 18

• 15

Multiple Choice

$$\sqrt[]{100}$$

• 15

• 10

• 11

• 12

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Multiple Choice

Between what two whole numbers is $$\sqrt{6}$$  ?

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Between what two whole numbers is $$\sqrt{17}$$  

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Between what two whole numbers is $$\sqrt{10}$$  ?

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Multiple Choice

Between what two whole numbers is $$\sqrt{82}$$  ?

• 6 and 7

• 7 and 8

• 8 and 9

• 9 and 10

Multiple Choice

To which whole number is $$\sqrt{80}$$ closest on a number line?

• 7

• 8

• 9

• 10

Multiple Choice

Between which two numbers does  $$\sqrt{11}$$  lie on a number line?

• 4 and 5

• 5 and 6

• 10 and 11

• 3 and 4

Multiple Choice

Which best represents the position of  $$\sqrt{8}$$  on the number line below?

• Point P

• Point Q

• Point R

• Point S

Multiple Choice

Put in the symbol to make the statement true...
$$-17.5$$   _________ $$-\sqrt[]{121}$$

• >
• <
• =

Multiple Select

Select ALL numbers that are irrational.

• 10

• -21

• $$\pi$$

• $$\frac{10}{2}$$

• $$\sqrt{10}$$

Multiple Select

Select ALL numbers that are rational.

• $$55$$

• $$\sqrt{289}$$

• $$\sqrt{6}$$

• $$\pi$$

• $$6\frac{7}{9}$$

Multiple Choice

A rational number can be written as a fraction.

• true

• false

Multiple Choice

Perfect Squares are irrational.

• True

• False

Multiple Choice

Which description best describes an irrational number?

• A repeating decimal
• An improper fraction
• A non-repeating, non-terminating decimal
• A perfect square

Multiple Choice

Includes integers, fractions, terminating and repeating decimals:

• Rational Numbers
• Irrational Numbers

Multiple Choice

$$.141414141414...$$

• Rational 
• Irrational 

Multiple Choice

$$\sqrt[]{2}$$

• Rational
• Irrational

Multiple Choice

$$5$$

• Rational
• Irrational

Multiple Choice

$$\sqrt[]{25}$$

• Rational
• Irrational

Multiple Choice

$$\sqrt[]{7}$$

• Rational 
• Irrational

Multiple Choice

Which of these is an example of a rational number?

• $$\sqrt[]{4}$$

• $$\sqrt[]{5}$$

• $$\sqrt[]{3}$$

• $$\sqrt[]{2}$$

Multiple Choice

Which of these is an example of an irrational number?

• $$\sqrt[]{2}$$

• $$\sqrt[]{1}$$

• $$\sqrt[]{9}$$

• $$\sqrt[]{25}$$

Multiple Choice

Put the following in order LEAST to GREATEST:
54%, 2/5, .45

• 2/5, .45, 54%
• 54%, 2/5, .45
• 54%, .45, 2/5
• .45, 2/5, 54%

Multiple Choice

Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 

• ^{0, -4 1/2, -4.2, 4, -4}
• ^{-4 1/2, -4.2, -4, 0, 4}
• ^{-4 1/2, -4.2, -4, 4, 0}

Multiple Choice

According to the number line which  letter best represents the location of the number?

• A
• B
• C
• D

Multiple Choice

True or false? 
$$1.7>\sqrt[]{4}$$

• True 
• False

Multiple Choice

Which of the following numbers is irrational?

• $$\sqrt{8}$$
  

• $$\frac{3}{4}$$

• $$2$$
  

• $$-1.325$$
  

• $$\sqrt{4}$$

Multiple Choice

Which of the following is rational?

• $$0.211232112421125...$$

• $$\pi$$

• $$\sqrt{25}$$
  

• $$\sqrt{12}$$
  

• $$-\sqrt{21}$$

Multiple Choice

Which represents a rational number?

• $$\sqrt{110}$$

• $$\sqrt{324}$$
  

• $$\sqrt{65}$$
  

• $$\sqrt{80}$$
  

Multiple Choice

Which number is irrational?

• $$9.6$$

• $$\sqrt{45}$$
  

• $$\frac{3}{8}$$
  

• $$\frac{10}{12}$$
  

• $$\sqrt{121}$$

Multiple Choice

$$Describe\ \sqrt{2}$$  as rational, irrational, natural, or not real. If it is a real number, give its value.

• $$Rational;\ \sqrt{2}=1.4$$  
  

• $$Irrational;\ \sqrt{2}\approx1.414213...$$  
  

• $$Not\ real$$  
  

• $$Natural;\ \sqrt{2}=1$$  
  

Multiple Choice

$$-0.775$$  is a(n)...

• irrational number

• whole number

• integer

• rational number

• natural number

Multiple Choice

$$\sqrt{3}$$  is considered a(n)...

• whole number

• integer

• irrational Number

• rational Number

Multiple Choice

$$\pi\$$  and $$1.234567890...$$ are considered...

• irrational numbers.

• rational numbers.

• natural numbers.

• whole numbers.

• repeating decimals.

Multiple Choice

Zero AND Positive and negatives numbers that do NOT include decimals or fractions....

• Whole numbers

• Natural numbers

• Integers

• Rational numbers

Multiple Choice

All natural (counting) numbers are..

• Whole numbers ONLY

• Whole numbers, integers ONLY

• Whole numbers, integers, rational numbers, real numbers

• Whole numbers, integers, rational numbers, irrational numbers, real numbers

Multiple Choice

All integers are...

• Rational numbers and Real Numbers

• Whole Numbers, Rational Numbers & Real Numbers

• Irrational Numbers & Real Numbers

• Natural Numbers, Whole Numbers, and Real Numbers

Multiple Choice

The following Real Number Venn diagram correctly shows each set and subset:

• True

• False

Multiple Choice

Whole numbers are natural numbers together with "zero."

• True
• False

Multiple Choice

A number can be rational and irrational.

• True
• False

Multiple Choice

All numbers ON A NUMBER LINE are real numbers.

• False

• True

Multiple Choice

All whole numbers are integers.

• False
• True

Multiple Choice

Which statement is NOT true?

• Every rational number is a real number.

• Every counting number is a whole number.

• Every integer is a rational number.

• Every decimal number is an irrational number.

Multiple Choice

Which of the following statements is always true?

• All integers are whole numbers
• all rational numbers are integers
• some whole numbers are not rational numbers
• all whole numbers are integers

Multiple Choice

Which of the following is NOT a subset (group) of the real numbers?

• Integers

• Whole Numbers

• Fake Numbers

• Irrational Numbers

Multiple Choice

A non-repeating or non-terminating decimal is classified as ________________.

• rational, real

• irrational, real

• integer, rational, real

• whole, integer, irrational, real

Multiple Choice

A repeating or terminating decimal is classified as ___________?

• rational, real

• integer, rational, real

• irrational, real

• whole, integer, irrational, real

Multiple Choice

The set (group) of __________ contains all the numbers that are rational and irrational.

• integers

• whole numbers

• real numbers

• natural numbers

• fake numbers

Multiple Select

What are all the sets (groups) of numbers that are inside the set (group) of rational numbers? Check all that apply.

• Integers

• Irrational Numbers

• Whole Numbers

• Natural Numbers

• Real Numbers

Multiple Choice

All whole numbers are rational.

• true

• false

Multiple Select

Choose the number(s) that can be classified as Real, Rational, Integer

• $$-27$$  

• $$\frac{2}{3}$$  
  

• $$0$$  

• $$-\frac{1}{4}$$  
  

• $$2.75$$  
  

Multiple Choice

Zero is ___________.

• whole number and real

• natural number and real

• whole number, integer, rational, and real

• irrational and real

• whole, integer, and real

Multiple Choice

A non-terminating decimal is which type of number?

• Rational 
• Irrational

Multiple Choice

A repeating decimal is what type of number?

• Rational 
• Irrational

Multiple Choice

Is $$\sqrt{2}$$  Irrational?

• Yes

• No

Multiple Choice

$$\sqrt{57}$$ is ...

• rational 

• irrational 

Multiple Select

What are the subsets (groups) inside the integer set? Check all that apply.

• natural

• whole

• rational

• irrational

• real

Multiple Choice

Which of the following contains only rational numbers?

• $$2.5,\ 0.764567...,\ \frac{1}{2},\ \sqrt{27}$$

• $$\pi,\ \sqrt{4},\ \sqrt{16},\ 7.7$$

• $$6.7,\ 4.45,\ -3$$

• $$\frac{1}{2},\ 0.21,\ \sqrt{13},\ -\sqrt{9}$$

Multiple Choice

$$\frac{15}{3}$$  can be simplified to a whole number.

• True

• False

Multiple Choice

$$\frac{10}{4}$$  can be simplified to a whole number.

• True

• False

Multiple Choice

A repeating decimal and a terminating decimal have which of the following in common.

• both are whole numbers
• both are irrational
• both are rational
• they have nothing in common

Multiple Choice

List all the classifications of numbers that apply to 436.

• Irrational, Real

• Rational, Integer, Whole, Real

• Natural, Whole, Integer, Rational, Real

• Rational, Integer, Real

Multiple Choice

Zero

• Real, Rational, Integer

• Real, Rational, Real

• Real, Rational, Integer, Whole

• Real, Rational, Integer, Whole, Natural

• Real, Irrational

Multiple Select

$$\sqrt{3}$$   is what type of number? (Check all that apply.)

• rational

• whole

• integer

• irrational

• real

Multiple Select

$$-5.5$$   is what type of number? (Check all that apply.)

• rational

• whole

• integer

• irrational

• real

Multiple Select

$$\sqrt{25}$$   is what type of number? (Check all that apply.)

• rational

• whole

• integer

• irrational

• natural

Multiple Select

$$0.\overline{7}$$   is what type of number? (Check all that apply.)

• rational

• whole

• integer

• irrational

• real

Multiple Choice

Which number is irrational?

• 5.499

• $$\sqrt{17}$$

• - $$\sqrt{9}$$

• -10

Multiple Choice

Which point best represents  $$\sqrt{10}$$  on a number line?

• point A

• point B

• point C

• point D

Multiple Choice

Estimate the square root.

• 3
• 4
• 5
• 6

Multiple Choice

Classify the Number: -23

• Rational
• Real, rational, integer
• integer
• Real, irrational, whole

Multiple Choice

Classify 3

• Natural, Whole, Integer, Rational
• Whole, Rational
• Integer
• Rational

Multiple Choice

Classify the Number: 120

• natural, whole, integer, rational, real

• irrational, real

• whole

• whole, natural

Multiple Choice

How would $$\frac{5}{9}$$ be classified?

• rational and real
• whole and integer
• only real
• only irrational

Multiple Choice

How would 0.333333 be classified?

• rational and real 
• real and whole
• only integer 
• only irrational

Multiple Choice

-14 could NOT be which type of number?

• Integer
• Real
• Rational
• Natural

Multiple Choice

Which statement is true?

• Every rational number is an integer

• Every whole number is a natural number

• Every integer is a whole number

• Every whole number is a rational number

Multiple Choice

Classify $$\frac{17}{10}$$

• Whole
• Rational
• Natural
• None of the above

Multiple Choice

Which statement is NOT true?

• Every rational number is a real number.

• Every natural number is a whole number.

• Every integer is a rational number.

• Every decimal number is an irrational number.

Multiple Choice

Classify 0

• Whole
• Integer
• Rational
• All of the above

Multiple Choice

A fraction is which type of number?

• Rational
• Irrational
• Integer
• Whole

Multiple Choice

A never ending decimal that doesn't repeat is which type of number?

• Rational 
• Irrational
• Integer
• Whole

Multiple Choice

A repeating decimal is what type of number?

• Rational 
• Irrational
• Integer
• Whole

Multiple Choice

• Rational
• Irrational
• Rational, Integer
• Whole, Integer, Rational

Multiple Choice

An integer is also...

• Whole
• Rational
• Irrational
• Not real

Multiple Choice

Which word does NOT describe 5?

• Whole
• Integer
• Rational
• Irrational

Multiple Choice

Which word does NOT describe -7?

• Whole
• Integer
• Rational
• Real

Multiple Choice

What is the best classification for this number?  $$\frac{1}{4}$$

• integer
• rational
• irrational
• whole

Multiple Choice

What is the best classification for this number?   10

• rational
• integer
• whole

Multiple Choice

An example of an integer is...

• 9.1
• $$\frac{8}{9}$$

• -9
• -2.3

Multiple Choice

An example of a whole number is:

• $$\frac{4}{9}$$

• -9
• 5.2
• 17

Multiple Choice

• Yes
• No
• I need more help with classifying numbers.

Multiple Choice

Classify the following number:  
0

• Rational, Integer
• Rational
• Rational, Integer, Whole
• Rational, Integer, Whole, Natural

Multiple Choice

Integers are:

• Numbers that include fractions or decimals
• Whole Numbers not including 0
• A negative and positive number
• Both negative and positive whole numbers including 0

Multiple Choice

Classify the Number: 2.587

• Integer
• Rational Number
• Whole Number
• Irrational number

Multiple Choice

Which statement is FALSE?

• Every rational number is a real number.
• Every decimal number is an irrational number.
• Every integer is a rational number.

Multiple Choice

• Rational Numbers
• Irrational Numbers
• Decimals
• Whole Numbers

Multiple Choice

Where would you place -6?

• In the whole number circle because it's a whole number, integer, and rational number.
• In the integer circle because it's an integer and rational number only.
• In the rational circle because it's only a rational number.
• I'm not sure because I don't know what rational means.

Multiple Choice

Explain the error(s).

• -1.2 isn't an integer.
• -2 isn't a whole number and 3.4 isn't a rational number.
• -2 isn't a whole number and -1.2 isn't an integer.
• The numbers are graphed correctly.

Multiple Choice

Which of the following best defines rational numbers?

• numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern
• numbers that make sense
• numbers that go on forever and ever with out a repeating pattern
• numbers cannot be written as a fraction

Multiple Choice

A decimal that stops is which type of number? Example: 2.75

• Rational
• Irrational
• None of these

Multiple Choice

1,378,472,706 and best be classified as what?

• natural, whole, integer, rational
• whole, integer, rational
• rational
• natural, whole, integer, rational, real

Multiple Choice

Classify the following number:
1.01011011101111....

• Rational
• Irrational
• None of these

Multiple Choice

The  $$\sqrt[]{20}$$ is between which two integers?

• 2 & 3
• 3 & 4
• 4 & 5
• 5 & 6

Multiple Choice

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

• P
• Q
• R
• S

Multiple Choice

.141414141414...

• Rational 
• Irrational 

Multiple Choice

$$\sqrt[]{3}$$  

• rational
• irrational