LESSON - Classification of Numbers

The Real Number System

A Full Online Class

Why classification of numbers?

Classification of Numbers

By Mar Syazana

Multiple Choice

Is 36 a natural number?

• Yes

• No

Multiple Choice

True or false.

The number 7 is a natural number.

• True

• False

Multiple Choice

What is the difference between the whole number group and the natural number group

• Whole numbers are more organized

• Whole numbers start with 1 and Natural numbers start with 0

• Whole numbers start with 0 and Natural numbers start with 1

• They are both the same

Multiple Choice

How would you classify the number 0?

• Whole Number

• Natural Number

• Irrational Number

Natural & Whole Numbers Review

​The numbers we use for counting are the natural numbers: 1, 2, 3, 4, 5, and so on

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​The set of whole numbers is the set of natural numbers plus zero: {0, 1, 2, 3,…}

Open Ended

Explain the difference between a Whole Number and a Natural Number.

​Integers Review

​The integers include all whole numbers together with the “negatives” of the natural numbers.

Multiple Choice

Integers include _____.

• Only negative numbers

• Only positive numbers

• Fractions and decimals

• Both negative/ positive numbers and 0

Multiple Choice

How would you classify -4?

• Whole Number

• Integer

• Natural Number

Fill in the Blanks

-6 is best described as what number?

Multiple Choice

which statement is true?

• all natural numbers are whole numbers

• all whole numbers are integers

• all natural and whole numbers are integer

• all natural numbers are integers

• ALL of the above

Let's summarize

Natural Numbers: Also called the counting numbers, this set includes all of the whole numbers except zero (1,

2, 3, ....)

Whole Numbers: Zero and the positive integers are the whole numbers.

Integers: The counting numbers (1, 2, 3, ...), their opposites ( 1, 2, 3, ...), and zero are integers.
A common error for students is to assume that the integers account for all (or only) negative numbers.

DMA5101

Multiple Choice

Is the fraction 4/5 a natural number?

• Yes

• No

Multiple Choice

$$\frac{2}{3}$$  is an integer.

• True

• False

Multiple Choice

How would you classify  $$\frac{5}{9}$$  ?

• Integer

• Rational Number

• Whole Number

• Irrational Number

Multiple Choice

Natural numbers, Whole numbers, and Integers are RATIONAL numbers because they can be written in fraction form. True or False?

• True

• False

Multiple Choice

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

1/4

• integer

• rational

• none of these

• whole

Multiple Choice

$$0.463$$  is an irrational number.

• True

• False

Multiple Choice

A terminating decimal is a decimal that...

• never ends.

• repeats numbers in a pattern.

• ends.

• never ends and never repeats.

Multiple Choice

What is the best classification for this number? (how far down can you push this into the Venn Diagram)

10

• none of these

• whole

• integer

• rational

Multiple Choice

Is 8.27 rational or irrational?

• Rational

• Irrational

• Both

• None of the above

Multiple Choice

A repeating decimal is what type of number?

• Rational

• Irrational

Multiple Choice

$$0.\overline{3}$$ is what type of number

• rational

• irrational

• integer

Multiple Choice

Explain the error

• -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.

​What do you notice about rational vs irrational?

Multiple Choice

How would you classify $$\sqrt[]{8}$$  ?

• Whole Number

• Rational Number

• Integer

• Irrational Number

Multiple Choice

Which of the following numbers is an Irrational Number?

• 7.24

• -10

• 435,530

• 3.1415926535897932384...

• $$\frac{4}{9}$$

Multiple Choice

$$\pi$$ is what type of number

• rational

• irrational

• integer

Real Number System Intervention

Multiple Choice

Which diagram correctly displays the relationship between set of numbers?

Multiple Choice

The letter "A" can be replaced with with subset?

• Rational

• Irrational

• Integer

• Whole

• Natural

Multiple Choice

Which lists the correct labels for the diagram shown?

Fill in the Blanks

Every single number in the world is called

Draw

Place the following numbers in the Venn Diagram: $$4,0,-2,\frac{2}{3},\ 0.23,\ 0.\overline{67},\ \sqrt[]{3}$$

Poll

How comfortable are you with classifying real numbers?

• Very comfortable

• Comfortable

• I'm okay, but not really sure

• I have no idea how to classify

End of lesson

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