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Intermediate Algebra Homework: Identifying and Operating on Different Types of Numbers - P, Assignments of Algebra

A homework assignment from an intermediate algebra course. Students are required to identify different types of numbers, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers, from a given set. They are also asked to perform arithmetic operations and simplify expressions. No calculator is allowed.

Typology: Assignments

Pre 2010

Uploaded on 08/09/2009

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MTH 104 Intermediate Algebra Name: ______________________
1
st
Day Homework B (do not use a calculator) P. Seeburger
1. Which elements of the given set are (a) natural numbers, (b) whole numbers, (c) integers,
(d) rational numbers, (e) irrational numbers, (f) real numbers, (g) undefined?
Many of these numbers belong to two or more sets of numbers.
{4, –2.3,
4
, 0, 5 ,
0
5,
8
1, 9.32,
4
20 , 6}
(a) Natural numbers: ___________________ (e) Irrational numbers: _____________________
(b) Whole numbers: ____________________ (f) Real numbers: _________________________
(c) Integers: ___________________________ (g) undefined: ____________________________
(d) Rational numbers: ___________________
2. Indicate whether each of the following sets of real numbers belong to the
N
atural numbers, the
W
hole numbers, the
I
ntegers, the
R
ational numbers, or the
Irrational
numbers.
Use the letters
N
,
W
,
I
,
R
, or
Irrational
. Write as many as apply to
all
numbers in each set.
Ex. {0, 2, 7} W, I, R
a. {5, 4
9, – 7
1} _________________ b. {
5,13,
π
} __________________
c. {0, 4, 7} _________________ d. {3, 5, –8} __________________
3. Supply the following numbers.
a. The opposite of –3 _________ b. The negative of –9 __________
c. The additive inverse of 12 _________ d. The negative of 20 __________
4. List the order of operations. (It does not have to be in the same words as the book.)
pf2

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MTH 104 Intermediate Algebra Name: ______________________

1

st Day Homework B (do not use a calculator) P. Seeburger

  1. Which elements of the given set are (a) natural numbers, (b) whole numbers, (c) integers,

(d) rational numbers, (e) irrational numbers, (f) real numbers, (g) undefined?

Many of these numbers belong to two or more sets of numbers.

(a) Natural numbers: ___________________ (e) Irrational numbers: _____________________

(b) Whole numbers: ____________________ (f) Real numbers: _________________________

(c) Integers: ___________________________ (g) undefined: ____________________________

(d) Rational numbers: ___________________

  1. Indicate whether each of the following sets of real numbers belong to the N atural numbers, the

W hole numbers, the I ntegers, the R ational numbers, or the Irrational numbers.

Use the letters N , W , I , R , or Irrational. Write as many as apply to all numbers in each set.

Ex. {0, 2, 7} W, I, R

a. {5, 4

9 , – 7

1

} _________________ b. { π , 13 , 5 } __________________

c. {0, 4, 7} _________________ d. {3, 5, –8} __________________

  1. Supply the following numbers.

a. The opposite of –3 _________ b. The negative of –9 __________

c. The additive inverse of 12 _________ d. The negative of 20 __________

  1. List the order of operations. (It does not have to be in the same words as the book.)
  1. Graph the following numbers on the given number line. Be sure you label them.
  1. Simplify. (Be sure to use the order of operations.)

a. − 7 b. 5

c. 1 − 10 d. 5 8

e. 5 + 5 · 5 + 5

  1. Simplify: –3(7x – 3)
  2. Evaluate the following expression where x = –3.

–2x

4

  • 6x
  1. Simplify. Always reduce fractions, but you may leave an answer as an improper fraction.

a. 5 4

− ⋅ b. 6

c. ( 12 ) 18

− ⋅ − d. 5