Basic Mathematics for College Students

(Nandana) #1
Chapter 2 Summary and Review 193

Inequality symbols:


means is not equal to
means is greater than or equal to
 means is less than or equal to




Each of the following statements is true:
Read as “5 is not equal to 3.”
Read as “4 is greater than or equal to 6.”
 2  2 Read as “2 is less than or equal to 2.”

4  6


5  3


The absolute valueof a number is the distance on
a number line between the number and 0.


Find each absolute value:
0120  12 0  90  9 000  0

Two numbers that are the same distance from 0 on
the number line, but on opposite sides of it, are
called oppositesor negatives.


The opposite of 4 is.
The opposite of is 77.
The opposite of 0 is 0.

 77


 4


The opposite of the opposite rule
The opposite of the opposite (or negative) of a
number is that number.


Simplify each expression:
(6) 6  080  8  0  260  26

The symbolis used to indicate a negative number,
the opposite of a number, and the operation of
subtraction.





negative 2 the opposite of negative four six minus one

 2 (4) 6  1



  1. Write the set of integers.

  2. Represent each of the following situations using a
    signed number.
    a. a deficit of $1,200
    b. 10 seconds before going on the air

  3. WATER PRESSURE Salt water exerts a pressure
    of approximately 29 pounds per square inch at a
    depth of 33 feet. Express the depth using a signed
    number.


REVIEW EXERCISES


Sea level

A column of salt water

1 in. 1 in.

Water pressure is
approximately
29 lb per in.^2
at a depth of
33 feet.


  1. Graph the following integers on a number line.
    a.  3 ,0,4, 1


− 4 − 3 − 2 − 1 01 234

b. the integers greater than  3 but less than 4

− 4 − 3 − 2 − 1 01234


  1. Place an or an symbol in the box to make a
    true statement.
    a. b.

  2. Tell whether each statement is true or false.
    a. b.

  3. Find each absolute value.
    a. b. c.

  4. a.What is the opposite of 8?
    b. What is the opposite of?
    c. What is the opposite of 0?

  5. Simplify each expression.
    a.
    b.
    c.  0


(12)


 0120


 8


050 0  430 000


 17  16  56  56


0  7  20  19


 

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