Download Subsets of Real Numbers

SUBSETS OF REAL NUMBERS
NATURAL
a.
b.
c.
2.5
3
/4
0
16
d.
e.
2
f.

g.
h.
i.
j.
k.
l.
m.
n.
o.
p.
/7
1.13
17
2.2671…
11
19.45
0.271271
0.27124…
100
-14
-5/9
q.
36
r.
48
s.
v.
2.198
-2.76
15
/3
-20/4
w.
0.262722
x.
y.
1.444
6 1/ 3
z.
31
t.
u.
Graph a, b, c, d, e, f, and g on the line below:
WHOLE
INTEGER
RATIONAL IRRATIONAL
Algebra II Homework – 1.1 Real Numbers and Number Operations
1.
VOCABULARY: The _________________________ of any nonzero number b is
2.
WRITING: Express the associative property of addition in words.
1
.
b
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
ORDERING NUMBERS: In Exercises 3 and 4, use the table of elevations below:
3.
4.
IDENTIFYING PROPERTIES: Identify the property that the statement illustrates.
5.
(4 + 9) + 3 = 4 + (9 + 3)
___________________________________________________
6.
15 · 1 = 15
___________________________________________________
7.
6·4=4·6
___________________________________________________
8.
5 + (-5) = 0
___________________________________________________
9.
7(2 + 8) = 7(2) + 7(8)
___________________________________________________
10.
(6 · 5) · 7 = 6 · (5 · 7)
___________________________________________________
11.
Find values of a and b such that a is a whole number, b is a rational number but not an
integer, and a ÷ b = -8.
12.
Write two equations using integers to illustrate the distributive property.
13.
The average weight of the blue whale (the largest mammal) is 120 tons, and the average
weight of the bumblebee bat (the smallest mammal) is 0.07 ounce. How many times
heavier is the whale than the bat?
SUBSETS OF REAL NUMBERS
NATURAL
a.
b.
c.
16
e.
2
f.

g.
h.
i.
j.
k.
l.
m.
n.
o.
p.
INTEGER









/7
1.13
17
2.2671…
RATIONAL IRRATIONAL

2.5
3
/4
0
d.
WHOLE








11
19.45
0.271271
0.27124…
100
-14
-5/9














q.
36
r.
48
s.

v.
2.198
-2.76
15
/3
-20/4
w.
0.262722

x.

y.
1.444
6 1/ 3
z.
31
t.
u.
Graph a, b, c, d, e, f, and g on the line below:






Answers: Algebra II Homework – 1.1 Real Numbers and Number Operations
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
reciprocal
Sample answer: If three numbers are being added
together, it does not matter which two numbers are added
together first.
B
D
Associative Property of Addition
Identity Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Addition
Distributive Property
Associative Property of Multiplication
a = 4 & b = -1/2 would work
3(4 + 5) = 12 + 15
54,857,143 times!!
Algebra II Homework – 1.1 Real Numbers and Number Operations – check # 3, 9, 13
reciprocal
of any nonzero number b is
1
.
b
14.
VOCABULARY: The
15.
WRITING: Express the associative property of addition in words.
Sample answer: If three numbers are being added together, it does not matter
which two numbers are added together first.
ORDERING NUMBERS: In Exercises 3 and 4, use the table of elevations below:
3.
B
4.
D
IDENTIFYING PROPERTIES: Identify the property that the statement illustrates.
5.
(4 + 9) + 3 = 4 + (9 + 3)
___Associative Property of Addition___________
6.
15 · 1 = 15
___ Identity Property of Multiplication_________
7.
6·4=4·6
___Commutative Property of Multiplication_____
8.
5 + (-5) = 0
___ Inverse Property of Addition______________
9.
7(2 + 8) = 7(2) + 7(8)
___Distributive Property_____________________
10.
(6 · 5) · 7 = 6 · (5 · 7)
___Associative Property of Multiplication_______
11.
Find values of a and b such that a is a whole number, b is a rational number but not an
integer, and a ÷ b = -8.
12.
Write two equations using integers to illustrate the distributive property.
13.
The average weight of the blue whale (the largest mammal) is 120 tons, and the average
weight of the bumblebee bat (the smallest mammal) is 0.07 ounce. How many times
heavier is the whale than the bat? 54,857,143 times!!