DIFFERENT TYPES OF NUMBERS

Mandy Walton

EDCT 2030

IRRATIONAL NUMBERS

• Irrational numbers are numbers that cannot be expressed as a fraction.

• These numbers are written as a decimal and go on forever!

• Examples: ≈ 3.14……

e ≈ 2.71……

RATIONAL NUMBERS

• Numbers that can be expressed in fraction notation.

• These numbers can be written in decimal notation and have an ending point.

• Examples: ¼ = .25

½ = .5

INTEGERS

• The set of natural numbers and their opposites.

• These numbers are used to describe debts, temperatures below zero and much more!

• Examples: …-3, -2, -1, 0, 1, 2, 3,…

WHOLE NUMBERS

• Whole numbers are counting numbers that include zero.

• Example: 0, 1, 2, 3, …..

NATURAL NUMBERS

• Natural numbers are counting numbers, which DOES NOT include zero.

• Example: 1, 2, 3, …..

Natural Numbers symbol

REAL NUMBERS

Irrational and rational numbers make up real numbers.

This includes every single number on the number line!

WHAT TYPE OF NUMBER IS -4?

a.Irrational numberb.Natural numberc.Integer and rational numberd.Whole number

SORRY, -4 IS NOT AN IRRATIONAL NUMBER, IT CAN BE WRITTEN AS A FRACTION AND IT HAS AN ENDING POINT.TRY AGAIN!

SORRY, -4 IS NOT A NATURAL NUMBER, IT IS NOT A REGULAR COUNTING NUMBER.

(1, 2, 3, ….)TRY AGAIN!

SORRY, -4 IS NOT A WHOLE NUMBER, WHOLE NUMBERS ARE COUNTING NUMBERS AND ZERO! THIS INCLUDES 0, 1, 2, 3…TRY AGAIN!

CORRECT!NEXT QUESTION

Which of these number is an example of an irrational number?

a. ½b. .125c. d. 1/3

SORRY, ½ IS NOT AN IRRATIONAL NUMBER BECAUSE IT CAN BE WRITEN IN FRACTION FORM AND HAS AN ENDING DECIMAL.TRY AGAIN!

SORRY, .125 CANNOT BE A IRRATIONAL NUMBER BECAUSE IT CAN BE WRITTEN AS A DECIMAL THAT HAS AN ENDING POINT!TRY AGAIN!

SORRY, 1/3 CANNOT BE A IRRATIONAL NUMBER BECAUSE IT CAN BE WRITTEN AS A RATIO OF TWO NUMBERS OR A FRACTION!TRY AGAIN!

CORRECT!NEXT QUESTION

Which of the following describes an irrational number?

a.A number that can be written as a ratio of two numbers (fraction) and can be written as a decimal with an end point.

b.Includes every number on the number line.

c.A number that cannot be written as a ratio of two numbers (fraction) and goes on forever.

d.The set of natural numbers and their opposites.

SORRY, BUT ANSWER A IS DESCRIBING A RATIONAL NUMBER! TRY AGAIN!

SORRY, BUT ANSWER B IS DECRIBING REAL NUMBERS!TRY AGAIN!

SORRY, BUT ANSWER D IS DESCRIBING INTEGERS!TRY AGAIN!

CORRECT!NEXT QUESTION

ALL NUMBERS ARE..

a. Real Numbers

b. Whole Numbers

c. Irrational Numbers

d. Integers

SORRY, WHOLE NUMBERS ONLY INCLUDE 0, 1, 2, 3, ….TRY AGAIN!

SORRY, IRRATIONAL NUMBERS ARE NUMBERS THAT CANNOT BE WRITTEN AS A FRACTION AND AS A DECIMAL THAT GOES ON FOREVER…TRY AGAIN!

SORRY, INTEGERS ONLY INCLUDE COUNTING NUMBERS AND THEIR OPPOSITES!TRY AGAIN!

CORRECT!NEXT QUESTION

WHICH SEQUENCE OF NUMBERS ARE NATURAL NUMBERS?

a. …,-1, 0, 1, …

b.…, -3, -2, -1, …

c. 1, 2, 3, …

d.0, 1, 2, 3, ….

SORRY. … -1, 0, 1, … IS AN INTEGER AND REAL SEQEUNCE!TRY AGAIN!

SORRY, …, -3, -2, -1, IS AN INTERGER AND REAL NUMBER SEQUENCE.TRY AGAIN!

SORRY, 0, 1, 2, 3, … IS A WHOLE NUMBER AND REAL NUMBER SEQEUCNE!TRY AGAIN!

CORRECT!

SOURCE:

2.1 - The Types of Numbers. (n.d.). Retrieved February 18, 2015, from http://mathonweb.com/help_ebook/html/numbers_1.htm