Rational Numbers Review

Comparing

100

Which is greater? 

5 or -10

5

200

Which is greater? 

1/2 or 3/4

3/4

300

Order these numbers from least to greatest. 

-3, 5, -.25, 0

-3,-.25,0,5

400

Which is greater? 

2 1/2 or 2.25

2 1/2

500

Order these numbers from least to greatest. 

-5/6 , 3/4, -12/5, .7

-12/5, -5/6, .7, 3/4

Weird Fractions

100

How would we classify 1/2?

It is a rational number ONLY.

200

Classify 3/2

3/2 simplifies to 1.5. It is a rational number ONLY

300

Classify 21/7

It is a natural number, whole number, integer and rational number. 21/7 is just 3.

400

Classify 15/2

Rational number ONLY. 15/2 is 7.5

500

Classify - 24/6.

Integers and rational numbers. -24/6 simplifies to -4.

Decimals

100

Classify 1.56

Rational number ONLY. It has a decimal with numbers to the right.

200

Classify 1.002

Rational number ONLY. Remember, trailing zeroes don't change a number, HOWEVER that 2 does!

300

Classify 3.0

Natural number, whole number, integer and rational number. 3.0 is just 3.

400

True or False: 7.1 is ONLY a rational number.

TRUE. 7.1 has a 1 in the tenths place.

500

Explain how we can simplify a fraction to get a decimal. Example: 1/2 ----> 0.5

Every fraction is a division problem. We divide.  "Top goes in, bottom goes out."

Positive or Negative?

100

Can negative numbers be whole numbers?

NO, whole numbers are 0 and all the positives, not including decimals or fractions.

200

A positive number like 4 can be classified as what?

Natural numbers, whole numbers, integers and rational numbers

300

True or False: Negative numbers can be classified as integers.

TRUE. A negative number (with no decimal or fraction) is an integer.

400

TRUE OR FALSE: ALL positive numbers are ALWAYS whole numbers.

FALSE: Positive fractions and decimals are NOT whole numbers.

500

Congrats on going for 500! Here is an easy question. TRUE OR FALSE. Negative numbers are the opposite of whole numbers.

TRUE. Remember, whole numbers are 0,1,2,3,4,5....the negatives are the opposites.

Definitions

100

Any number that can be written as a fraction is a:

Rational Number

200

the positive whole numbers 1, 2, 3, etc. It does NOT INCLUDE ZERO

Natural Numbers

300

includes all the whole numbers AND THEIR OPPOSITES …-3, -2, -1, 0, 1, 2, 3…

Integers

400

Includes all the natural numbers AND ZERO 0, 1, 2, 3, etc.

Whole Numbers

500

True or False: Integers are ALWAYS rational numbers.

True. On the Venn Diagram the integers are included inside the rational numbers.