Download 2.1, 0.5

Name ____________________________ Date _________ Hour _________
Algebra Chapter 2: Properties of Real Numbers
2.1 Use Integers and Rational Numbers
Part 1: Classifying and Ordering Numbers
6.11.01 Recognize, represents, order, compare real numbers, and locate real numbers on a number line
Use your book to define the following words.
Whole Numbers:_________________________________________________
_____________________________________________________________
Integers:______________________________________________________
_____________________________________________________________
Positive Integers:________________________________________________
_____________________________________________________________
Negative Integers:_______________________________________________
_____________________________________________________________
Rational Number:________________________________________________
_____________________________________________________________
Tell whether each number in the list is a whole number, an integer, or a rational
number. Then order the numbers from least to greatest.
A.
#
3, -1.2, -2, 0
W
I
R
3
B. 4.5, - , -2.1, 0.5
4
#
W
I
R
_______________________
_______________________
C.
D.
#
3.6, -1.5, -0.31, -2.8
W
I
R
_______________________
1
6
#
, 1.75, W
2
3
I
,0
R
_______________________
Name ____________________________ Date _________ Hour _________
Algebra Chapter 2: Properties of Real Numbers
2.1 Use Integers and Rational Numbers
Part 2: Absolute Value and Conditional Statements
6.11.01 Recognize, represents, order, compare real numbers, and locate real numbers on a number line
Define ABSOLUTE VALUE:_________________________________________
_____________________________________________________________
Find the absolute value of the following numbers.
A. 5
2
B. -
3
C. 0
D. -100,000
Evaluate the expression when x = -0.75
-x
|𝑥| + 1
|𝑥| - 0.75
The change in value of a share of a stock was -$0.45 on Monday, -$1.32 on
Tuesday, $0.27 on Wednesday, and $1.03 on Thursday. On which day was the
absolute value of the change the greatest?
What was the overall change?
Conditional Statement:____________________________________________
_____________________________________________________________
Hypothesis:
Conclusion:
Counter Example:
Identify the hypothesis and the conclusion of the statement. Tell whether the
statement is true or false. If it is false, give a counterexample.
a. If a number is a rational number, then the number is positive.
b. If the absolute value of a number is positive, then the number is positive.
Name ____________________________ Date _________ Hour _________
Algebra Chapter 2: Properties of Real Numbers
2.1 Use Integers and Rational Numbers
Practice Part 1: Classifying and Ordering Numbers
6.11.01 Recognize, represents, order, compare real numbers, and locate real numbers on a number line
Tell whether each number in the list is a whole number, an integer, or a rational
number. Then order the numbers from least to greatest.
1. 3, -5, -2.4, 1
2
1
3
3
4. - , -0.6, -1,
1
7. -2.7, , 0.3, -7
2
2. 1.6, 1, -4, 0
3. 0.25 -0.5, 0.2, -2
5. -0.01, 0.1, 0, -
8. -4.99, 5,
16
3
1
10
, -5.1
5
6. 16, -1.66, , -1.6
3
3
9. - , -0.4, -1, -0.5
5
Name ____________________________ Date _________ Hour _________
Algebra Chapter 2: Properties of Real Numbers
2.1 Use Integers and Rational Numbers
Practice Part 2: Absolute Value and Conditional Statements
6.11.01 Recognize, represents, order, compare real numbers, and locate real numbers on a number line
For the given value of a, find –a and |𝑎|.
1. a = 6
2. a = -3
3. a = -18
4. a = 0
5. a = 13.4
6. a = 2.7
7. a = -6.1
8. a = -7.3
9. a = -1
5
10. a = -
6
11. a =
3
4
1
9
12. a = 1
1
3
Identify the hypothesis and the conclusion of the conditional statement. Tell
whether the statement is true or false. If it is false, give a counterexample.
13. If a number is a positive integer, then the number is a whole number.
14. If a number is negative, then its absolute value is negative.
15. If a number is positive, then its opposite is positive.
16. If a number is an integer, then the number is a rational number.