Reteach 1-1

Name

Date

Class

Reteach

LESSON

1-1

Sets of Numbers

As you move from left to right on a number line, the numbers increase. Use a number line to help you order real numbers. Order from least to greatest: _

1, __ , 2.354. 11 , 2.6, __

2 2 as decimals: Use a calculator to approximate 11 and __ 2 1.57. 11 3.32 and __ 2 Plot each point on a number line. P

q

Read the numbers from left to right on the number line. _

, __ 1, 2.354, 11 . From least to greatest, the order is 2.6, __ 2 2 Order the given numbers from least to greatest. Use a number line to help you. _ 2, 0.456, and 1. , 1.9, 2 __ 3 3

2 2.67, and 3 1.73 3.14, 2 __ 3

_

2, 1.9, 0.456, 3 , 2__ 3 1 , 1.55, and 2. 1.75, 1, __ 5 5

0.2

1 __ 5

2.24

5

1, 1, 1.55 5 , 1.75, __ 5

_

1 3. 6 , 2.63, 4.36, 23 , and __ 6

6

2 3 1 __ 6

2.45 3.46 0.17

_

1, 6 , 2 3 4.36, 2.63, __ 6 Copyright © by Holt, Rinehart and Winston. All rights reserved.

a207c01-1_rt.indd Sec1:6

6

Holt Algebra 2

12/20/05 1:48:42 PM Process Black

Name LESSON

1-1

Date

Class

Reteach Sets of Numbers

(continued)

You can represent the same set in different ways. Number line:

Words: The set of numbers greater than or equal to 2 and less than 0 OR greater than or equal to 1 means infinity and – means negative infinity. Interval Notation: [ 2, 0 ) or [ 1, ) Brackets [ ] include the endpoints. Parentheses ( ) do not include endpoints. Set-Builder Notation: { x 2 x 0 or x 1 } Read this as “x such that” This set cannot be described in roster notation because you cannot list the real numbers in the intervals shown on the number line. The roster notation of , the set of natural numbers, is { 1, 2, 3, ) } . The set-builder notation of is { x x 僆 }. Rewrite each set using the indicated notation.

1, 0, 1, 2, 3, )

4. the set of integers, or ; roster notation { ), 3, 2,

Whole number multiples of 4

5. { 0, 4, 8, 12, 16, ) }; words 6. 5 x 12; interval notation 7. { x x 0 }; interval notation 8.

a207c01-1_rt.indd Sec1:7

[

[ 5, 12 ]

(

, 0

{ x

set-builder notation

Copyright © by Holt, Rinehart and Winston. All rights reserved.

}

7

{ 1 x 6 }

Holt Algebra 2

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Holt Algebra 2

12/27/05 2:47:59 PM