Should We Simplify?
True or false: -2.2 can be simplified to -22, which is an integer.
FALSE. -2.2 CANNOT be simplified.
How would we classify 1/2?
It is a rational number ONLY.
Rational number ONLY. It has a decimal with numbers to the right.
Can negative numbers be whole numbers?
NO, whole numbers are 0 and all the positives, not including decimals or fractions.
Any number that can be written as a fraction is a:
Rational Number
True or False: Trailing zeroes DO NOT affect the value of our number. Example: 2.0.
TRUE. 2.0 simplifies to 2
Classify 3/2
3/2 simplifies to 1.5. It is a rational number ONLY
Classify 1.002
Rational number ONLY. Remember, trailing zeroes don't change a number, HOWEVER that 2 does!
A positive number like 4 can be classified as what?
Natural numbers, whole numbers, integers and rational numbers
the positive whole numbers 1, 2, 3, etc. It does NOT INCLUDE ZERO
Natural Numbers
How can we make ANY number into a fraction?
Place it over a 1. (Put a 1 in the denominator)
Classify 21/7
It is a natural number, whole number, integer and rational number. 21/7 is just 3.
Classify 3.0
Natural number, whole number, integer and rational number. 3.0 is just 3.
True or False: Negative numbers can be classified as integers.
TRUE. A negative number (with no decimal or fraction) is an integer.
includes all the whole numbers AND THEIR OPPOSITES …-3, -2, -1, 0, 1, 2, 3…
Integers
True or False: 6/2 is a rational number ONLY.
FALSE. We can simplify 6/2 to 3, which is a rational number, integer, whole number AND natural number.
Classify 15/2
Rational number ONLY. 15/2 is 7.5
True or False: 7.1 is ONLY a rational number.
TRUE. 7.1 has a 1 in the tenths place.
TRUE OR FALSE: ALL positive numbers are ALWAYS whole numbers.
FALSE: Positive fractions and decimals are NOT whole numbers.
Includes all the natural numbers AND ZERO 0, 1, 2, 3, etc.
Whole Numbers
True or false: ALL rational number are integers.
FALSE. Remember it is the other way around, all Integers are rational numbers, but only some rational numbers are integers.
Classify - 24/6.
Integers and rational numbers. -24/6 simplifies to -4.
Explain how we can simplify a fraction to get a decimal. Example: 1/2 ----> 0.5
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.
True or False: Integers are ALWAYS rational numbers.
True. On the Venn Diagram the integers are included inside the rational numbers.