Download Module 0, Assignment 1

Module 0, Assignment 1
Part 1 Video
*The set of natural numbers is {1, 2, 3, 4, 5, 6, …}
*The set of whole numbers is {0, 1, 2, 3, 4, 5, …}
*The set of integers is {…, -3, -2, -1, 0, 1, 2, 3, …}
*The set of rational numbers includes all numbers
a
such that a and b are
b
integers and b  0 .
*The set of irrational numbers includes numbers that cannot be expressed as
the quotient of integers.
*The real numbers are all numbers that correspond to points on the number line.
*The absolute value of a number is its distance from 0 on a number line.
List the set (or sets) of numbers to which each belongs:
3
1)
¼
2)
Enter >, <, or = to complete each statement.
3)
7
5)
|-5|
3
-4
4)
-10
6)
|0|
-100
|-8|
*Adding two numbers with the same signs: Add the numbers, and keep the
sign.
*Adding two numbers with different signs: Subtract the numbers (larger minus
smaller), and keep the sign of the larger number.
*Two numbers that are the same distance from 0 but lie on opposite sides of 0
are called opposites or additive inverses of each other.
Add:
7)
-6 + (-8)
8)
-14 + 2
9)
10 + (-3)
10)
-16 + 16
11)
|-8| + (-16)
12)
-15 + 9 + (-2)
13)
-21 + (-16) + (-22)
14)
|5 + (-10)|
*Subtracting real numbers:
To find the difference of two numbers, add the opposite: Change the minus to a
plus AND change the sign behind it to its opposite. Then follow the rules for
adding.
Subtract:
15)
-6 – 4
16)
16 – (-3)
17)
-16 – (-18)
18)
-21 – (-21)
19)
Subtract -1 from -6
20)
Subtract 15 from 3
21)
-10 – (-8) + (-4) – 20
22)
5 – 9 + (-4) – 8 – 8
*Order of Operations:
1)
Simplify expressions with grouping symbols first, starting with the
innermost set. If fraction bars are present, simplify the numerator
and denominator separately.
2)
Evaluate exponential expressions.
3)
Perform multiplication or division from left to right.
4)
Perform addition or subtraction from left to right.
23)
-6 – (2 – 11)
24)
-2 + [(8 – 11) – (-2 – 9)]
25) The low temperature in Anoka, Minnesota, was -15* last night. During the
day it only rose 9*. Find the high temperature for the day.
26) During a golf tournament, the winner scored -5, -2, and -2. What was her
overall score?
27) One day the temperature fell from 44* to -16*. How large a drop in
temperature was this?
Part 2 Video:
Multiplying and Dividing real numbers:
*The product or quotient of two numbers with the same sign is a positive
number.
*The product or quotient of two numbers with different signs is a negative
number.
*The quotient of any non-zero real number and 0 is undefined.
*The quotient of 0 and any non-zero real number is 0.
28)
-6(4)
29)
-5(-10)
30)
3 4
31)
7 0
32)
11 11
33)
-1(2)(-3)(-5)
*Exponential notation is a way to show repeated multiplication: 23  2 2 2
2 is the base; it is the repeated factor.
3 is the exponent; it is the number of times the base is used as a
factor.
Simplify:
34)
 2 
4
35)
15
36)
18
2
37)
48
12
38)
0
4
39)
6
0
40)
4 86 2
41)
2(8  3)
42)
2  (5  2)  42
43)
2 5  2 8  3
44)
19  3 5
64
45)
62 3
8 2 5
46)
-7 – (7 – 12)
47)
48)
-9 + [(5 – 20) – (-6 -3)]
3  22   4  (6)
49)
A football team lost 2 yards on each of three consecutive plays.
Represent the total change as a product of signed numbers, and then find the
total loss.