2.1 Rational Numbers

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2.1 Comparing and Ordering Rational Numbers Lesson September 11 and 12 2014

Transcript of 2.1 Rational Numbers

Page 1: 2.1 Rational Numbers

2.1 Rational Numbers

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We organize numbers into sets by properties...

Number Sense2.1. Comparing Rational Numbers

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2.1 Rational Numbers

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Natural Numbers

The positive counting numbers excluding

zero 1

2

17

13

123

617

36

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2.1 Rational Numbers

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Whole Numbers

The positive counting numbers

including zero

0

1

45

232

17

5

56799

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2.1 Rational Numbers

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Integers

Positive and negative whole

numbers including zero

-3

-2 -1

0

1

2

3

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2.1 Rational Numbers

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Rational Numbers

Includes fractions, regular counting numbers, negative numbers,

terminating decimals and repeating decimals.

03

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2.1 Rational Numbers

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Irrational Numbers

An irrational number is a number whose

decimal part goes on forever and ever without repeating.

e

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2.1 Rational Numbers

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Irrational

Rational

Integers

Whole

Natural

Irrational

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2.1 Rational Numbers

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Irrational

Rational

Integers

Whole

Natural

Irrational

Move each number to the inner­most circle that it can be classified as a member of

Real Number Target

30617

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2.1 Rational Numbers

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Rational

Integers

Whole

Natural

Irrational

Integers

Real Number Target

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2.1 Rational Numbers

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Comparing Rationals

Is 45 or  2

3greater?

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2.1 Rational Numbers

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2.1 Rational Numbers

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2.1 Rational Numbers

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Comparing Rationals

Is 45 or  2

3greater?

2. Use equivalent fractions...

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2.1 Rational Numbers

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Question: How much pizza would you rather have... 

12

of the pizza?

24 of the pizza?

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Equivalent Fractions

It's the same!

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2.1 Rational Numbers

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Equivalent Fractions

To find equivalent fractions, multiply or divide the top and the bottom by the same number!

35

Let's find some equivalent fractions of...

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2.1 Rational Numbers

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Equivalent Fractions

To find equivalent fractions, multiply or divide the top and the bottom by the same number!

50100

Let's find some equivalent fractions of...

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Equivalent Fractions

Find the missing number to make the fractions equivalent.

27

?35=

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2.1 Rational Numbers

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Equivalent Fractions

Find the missing number to make the fractions equivalent.

6?

3648=

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Comparing Rationals

Is 45 or  2

3greater?

2. Use equivalent fractions...

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2.1 Rational Numbers

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Let's order the following rational numbers on a number line.

What are some strategies to help us?

1/2 3/4 1/4 ­4/8 ­2/4 ­0.2 6/8 4/4 ­7/8 1/3

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