NAME DATE MATH 7A REAL NUMBERS UNIT

PROBLEMS REQUIRE A STRAIGHTFORWARD DERIVATION SUBSTITUTION OF NUMBERS
1 NUMBERS OF BIRDS FROM NOCTURNAL FLIGHT CALLS TWO
1 THE NUMBERS IN THIS SEQUENCE INCREASE BY 75

1WORKFORCE DATA STAFFING NUMBERS (FULLTIME EQUIVALENT) 30 JUNE
2004 MU ALPHA THETA CONVENTION COMPLEX NUMBERS TOPIC TEST
21 FALLS COSTS NUMBERS AND LINKS WITH VISUAL

Real Numbers

Name _________________ Date _______________

Math 7A: Real Numbers Unit 1 Lesson 1


Natural Numbers: All counting numbers, the positive integers.


Whole Numbers: All counting or natural numbers and zero.


Integers: All whole numbers and their opposites.


Rational Numbers: Any number that can be represented by a fraction whose numerator is an integer and whose denominator is a non zero integer. (All integers, fractions, and terminating or repeating decimals)


Irrational Numbers: An infinite, non-repeating decimal.

NAME DATE MATH 7A REAL NUMBERS UNIT

Real Numbers: Any positive or negative number or 0. (All Rational and Irrational numbers)



Set: A collection of distinct elements that can be listed within braces { }.




DIAGRAM

NAME DATE MATH 7A REAL NUMBERS UNIT

Rational Numbers

Irrational Numbers


NAME DATE MATH 7A REAL NUMBERS UNIT

Integers



NAME DATE MATH 7A REAL NUMBERS UNIT

Whole #’s


NAME DATE MATH 7A REAL NUMBERS UNIT

Counting #’s




NAME DATE MATH 7A REAL NUMBERS UNIT








1) Decide if each statement is true or false.

a) All integers are rational numbers.

b) All rational numbers are integers.

c) All negative numbers are integers.

d) Some real numbers are integers.

e) The set of counting numbers is a finite set.


2) Which value(s) of x, when substituted into the expression NAME DATE MATH 7A REAL NUMBERS UNIT represent(s) an irrational number?

(1) 81 (2) 49 (3) 121 (4) 12

Justify your answer(s).





3) Which of the following is not an irrational number?

(1) NAME DATE MATH 7A REAL NUMBERS UNIT (2) 5NAME DATE MATH 7A REAL NUMBERS UNIT (3) NAME DATE MATH 7A REAL NUMBERS UNIT (4) NAME DATE MATH 7A REAL NUMBERS UNIT


Justify your answer.






4) Which number below is irrational? (Math A, 6/99)

NAME DATE MATH 7A REAL NUMBERS UNIT , NAME DATE MATH 7A REAL NUMBERS UNIT , NAME DATE MATH 7A REAL NUMBERS UNIT


Why is the number you chose an irrational number?






5) Which of the following numbers is rational? Explain why.

NAME DATE MATH 7A REAL NUMBERS UNIT , NAME DATE MATH 7A REAL NUMBERS UNIT , NAME DATE MATH 7A REAL NUMBERS UNIT




Name _________________ Date _______________

Math 7A: Real Numbers Unit 1 Lesson 1 HW


1. Match the words in the left hand column with the correct set of numbers in the right hand column.

G


O

E

dd Integers * * {0, 1, 2, 3 …}


N

B


N


E

H

ven Integers * * {0, 1, 2, 3 … 9}

N


S



W

P

hole Numbers * * {1, 3, 5, 7 …}

M



O

Y


Counting Numbers * * {2, 4, 6, 8 …}



N


W

R

hole #’s less * * {1, 2, 3, … 9}

t

I

han 10


O


Irrational Numbers* * {NAME DATE MATH 7A REAL NUMBERS UNIT ,NAME DATE MATH 7A REAL NUMBERS UNIT ,NAME DATE MATH 7A REAL NUMBERS UNIT }


W


T


Counting #’s less * * {1, 2, 3, 4 …}

than 10



Letters leftover


Solution to the puzzle

Hint: This guy can really fly!


2. Shade in the boxes that correspond to each description below:

Row 1: Shade in all the irrational numbers


Row 2: Shade in all even integers


Row 3: Shade in all rational numbers


Row 4: Shade in all integers


Row 5: Shade in all multiples of 3




NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

14

5

7

11

22

19

4

43

8

27

19

2.5

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

NAME DATE MATH 7A REAL NUMBERS UNIT

¾

NAME DATE MATH 7A REAL NUMBERS UNIT

.37

NAME DATE MATH 7A REAL NUMBERS UNIT

5

NAME DATE MATH 7A REAL NUMBERS UNIT

4NAME DATE MATH 7A REAL NUMBERS UNIT

1

2.2

.35

1.2

0

½

7

NAME DATE MATH 7A REAL NUMBERS UNIT

17

.33

0.25

15

9

27

14

33

3

6

16

45

18

60





In Your Own Words


3. Please describe for me in your own words how someone can tell the difference between a rational number and an irrational number.







29 EULERIAN NUMBERS AND GENERALIZED ARITHMETICGEOMETRIC SERIES EULERIAN NUMBERS
3 BALANCING REDOX REACTIONS – USING OXIDATION NUMBERS A)
3 TELEPHONE TALK PAGE 19 1 TELEPHONE NUMBERS


Tags: numbers unit, rational numbers, numbers