Math Relationships (SET THEORY)

Math Relationships (SET THEORY)

Jaylin Kirk

Open Ended

Tell me all you know about what a ¨set" is in mathematics.

SET THEORY

(As it relates to numbers)

Number Sets

• Natural Numbers

• Whole Numbers

• Integers

• Rational Numbers and Irrational Numbers

• Real Numbers

• Imaginary Numbers

• Complex Numbers

Natural Numbers

The set of all positive integers. The lowest number in this set is 1, and the set looks like this: {1, 2, 3, 4, 5............infinity}

Natural numbers do not include decimals or fractional parts and the ONLY NUMBER ALLOWED TO THE RIGHT of the DECIMAL is 0.

Multiple Select

Which of the following are Natural numbers? (SELECT ALL THAT APPLY)

• 4.3

• 3

• -20

• 71

Multiple Choice

Click the greater quantity.

• $\frac{8}{14}$

• $50\%$

Multiple Select

Check all the quantities that are approximately (equal).

(CHECK ALL THA APPLY)

•  $\frac{2}{3}$  

•  $66.7\%$  

•  $.667$  

•  $\frac{12}{18}$  

Whole Numbers

The set of all positive integers, plus the number 0. The lowest number in this set is 0, and the set looks like this: {0,1, 2, 3, 4, 5............infinity}

Whole numbers do not include decimals or fractional parts. They can all be written with a .0 on the end and the ONLY NUMBER ALLOWED TO THE RIGHT of the DECIMAL is 0.

Multiple Choice

Which sets listed contain whole numbers?

• {-4, -3, 0, 1, 2, 4}

• {0, .25, .33, .5, .75, .83, 1}

• {0, 1, 2, 3, 4, 5}

• None of the above

Multiple Choice

Click the smaller quantity.

•  $\frac{6}{15}$ 

•  $\frac{15}{29}$  
  

Integers

The set of all integers, plus the number 0. The set looks like this: {negative infinity.....-3,-2,-1,0,1, 2, 3, 4, 5............infinity}

Integers do not include decimals or fractional parts (They all can have a .0 at the end and the ONLY NUMBER ALLOWED TO THE RIGHT of the DECIMAL is 0.)

Multiple Select

Which sets listed contain integers?

(SELECT ALL THAT APPLY)

• {-4, -3, 0, 1, 2, 4}

• {0, .25, .33, .5, .75, .83, 1}

• {0, 1, 2, 3, 4, 5}

• None of the above

Multiple Choice

Select the largest number

• $\frac{9}{25}$

• $.36$

• $36\%$

• All the numbers are equal.

Rational Numbers

The set of all numbers that can be written as a ratio of two integers. (THIS IS A LOT OF NUMBERS!!!) It includes decimals, percentages, fractions, integers, natural numbers, whole numbers!

Rational numbers CAN include decimals or fractional parts (They all can have any numbers after the decimals!!)

Fill in the Blanks

Rational numbers can be written as a ratio of two

Fill in the Blanks

A recipe calls for $3\ \frac{1}{2}$  quarts of fruit punch,

  $1\ \frac{1}{2}$  pints of lemonade, and

  $5$  cups of Sprite.  How many cups will the recipe make altogether?  

Irrational Numbers

Irrational numbers cannot be written as a ratio of two integers. However, they fill in the rest of the real number line

(Irrational numbers are usually approximated to some type of decimal)

Real Numbers

The set of all rational and irrational numbers included together. (THESE NUMBERS REPRESENT ALL THE NUMBERS ON THE NUMBER LINE!!)