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WARM-UP
REAL NUMBERS
THE REAL NUMBERS FLOW CHARTREAL NUMBERS
RATIONAL IRRATIONAL
INTEGERS
WHOLE
NATURAL
Real Numbers: numbers found on the number line; both rational and irrational.
Rational Numbers: numbers that can be written as fractions. What about decimals?
Irrational Numbers: numbers that cannot be written as fractions.What about decimals?
Integers: whole numbers and their opposites. {...-3, -2, -1, 0, 1, 2, 3,...}
Whole Numbers: a nonnegative integer. What about fractions? Decimals? Zero?
Natural Numbers: the counting numbers. {1, 2, 3, 4,...}
Rational
Irrational
Integer Whole Natural
.23
-7
1.9876…½
19
0
Classify the following numbers
PERFECT SQUARES AND SQUARE ROOTS
• PERFECT SQUARE- A NUMBER MADE BY SQUARING A WHOLE NUMBER• WHAT DOES THIS MEAN?
• LIST THE PERFECT SQUARES 1-20 AND 25
• THE SQUARE ROOT OF AN NUMBER IS A VALUE THAT, WHEN MULTIPLIED BY ITSELF, GIVES THE NUMBER.
SQUARE ROOTS
• •
WARM-UP: IDENTIFY EVERY CATEGORY THAT EACH REAL NUMBER FITS IN.Rational
Irrational
Integer
Whole Natural
3.23
-9
2.987…¾
21
0
IRRATIONAL NUMBERS
• A NUMBER THAT CANNOT BE WRITTEN AS FRACTION OR REPEATING/TERMINATING DECIMAL
• THE MOST FAMOUS IRRATIONAL NUMBER: • NON-PERFECT SQUARES• WHAT WOULD AN EXAMPLE OF A NON-PERFECT SQUARE?
RATIONAL VS. IRRATIONAL
ESTIMATING SQUARE ROOTS
• WE CAN USE PERFECT SQUARES TO HELP US APPROXIMATE THE VALUE OF ANY NON-PERFECT SQUARE. WHEN TAKING THE SQUARE ROOT OF A NUMBER THAT IS NOT A PERFECT SQUARE, USE THE TWO SURROUNDING PERFECT SQUARES TO ASSIST IN ESTIMATING THE SQUARE ROOT.
• EXAMPLES
1.
2.
3. FIND THE SUM OF ALL OF THE INTEGERS BETWEEN AND
ORDER NUMBERS FROM LEAST AND GREATEST
EXIT TICKET
• ESTIMATE TO THE NEAREST TENTH
• PLACE THE FOLLOWING NUMBERS IN ORDER
-4, 3.16, -1.25, ,