Download Name___________________________ Date______________ Mod

Name___________________________ Date______________ Mod____
Number Line, Square Roots, and Sets
-A number line can be used to show the sets of natural numbers, whole
numbers, and integers. Values greater than zero, or positive numbers, are
listed to the right of zero, and values less than zero, or negative, are listed to
the left of zero.
-Another set of numbers you can display on a number line is the set of
rational numbers. A rational number can be written in the form________
Example 1: Graph each set
a. {...–4, –2, 0, 2, 4, 6}
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4 1 2 5
b. {  , , , }
3 3 3 3
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c. {integers less than –3 or greater than or equal to 5}
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-On a number line, 4 is four units from zero in the positive direction and
–4 is four units from zero in the negative direction.
│–4│= 4 and │4│= 4
Example 2: Find each absolute value
a. │–7│
7
b. │ │
9
Example 3: Evaluate 15 – │x + 4│ if x = 8
Square Roots
-A square root is one of two equal factors of a number. For example, the
square root of 64 is 8 since 8 times 8 equals 64. The symbol
is called
a radical sign and represents the square root.
64 = 8 indicates the principal square root
– 64 = –8 indicates the negative square root
 64 =  8 indicates both square roots of 64
Example 4:
49
a. 
256
b.  .81
Example 5: Replace each ○ with >, <, or = to make each sentence true.
a. 14 ○ 196
b. 48 ○ 6.999999999
Example 6: Name the set of numbers to which each belongs:
a. 5/22
b. 121
c. 56
d. –36/4