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5 Minute Check Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 5 2. -2 22 Write each decimal as a fraction. 3. - 0.15 4. – 7.75 5. 12.54

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5 Minute Check. Write each fraction as a decimal. Use bar notation if needed. 7 1. 15 5 2. - 2 22 Write each decimal as a fraction. 3. - 0.15 4. – 7.75 5. 12.54. 5 Minute Check. Write each fraction as a decimal. Use bar notation if needed. 7 1. 1 5. 5 Minute Check. - PowerPoint PPT Presentation

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Tuesday, Oct 30

5 Minute CheckWrite each fraction as a decimal. Use bar notation if needed. 71. 15 52. -2 22

Write each decimal as a fraction.

3. - 0.15

4. 7.75

5. 12.545 Minute CheckWrite each fraction as a decimal. Use bar notation if needed. 71. 155 Minute CheckWrite each fraction as a decimal. Use bar notation if needed. 71. 15 = 0.46

0.46 15 ) 7.000 -60 100 -90 100 5 Minute CheckWrite each fraction as a decimal. Use bar notation if needed. 52. -2 22

5 Minute CheckWrite each fraction as a decimal. Use bar notation if needed. 52. -2 22 = - 2.227

0.227 22 ) 5.000 -44 60 -44 160 -154 65 Minute CheckWrite each decimal as a fraction.

3. - 0.15

5 Minute CheckWrite each decimal as a fraction. 15 33. - 0.15 = - 100 = - 20

5 Minute CheckWrite each decimal as a fraction.

4. 7.75

5 Minute CheckWrite each decimal as a fraction. 75 34. 7.75 = - 7100 = - 7 4

5 Minute CheckWrite each decimal as a fraction.

5. 12.545 Minute CheckWrite each decimal as a fraction. 54 275. 12.54 = 12 100 =1250Monday, Nov 11Lesson 5.5

Compare and Order Rational NumbersCompare and Order Rational NumbersObjective: To understand how to compare and order all rational numbers.

Compare and Order Rational NumbersAt the end of this lesson you should be able to answer the following question.

How do we compare fractions and decimals?

Compare and Order Rational NumbersThe number line can be used to compare and order all rational numbers. A negative number is always less than a positive number.

Compare and Order Rational NumbersRule #1- A negative number is always less than a positive number.

Compare and Order Rational NumbersRule #1- A negative number is always less than a positive number.

Rule #2 When comparing fractions, the denominators must be the same. Then just compare the numerators.

Compare and Order Rational NumbersRule #1- A negative number is always less than a positive number.

Rule #2 When comparing fractions, the denominators must be the same. Then just compare the numerators.

Rule #3 When comparing a decimal and a fraction, one form must be converted to the other. Either convert the fraction to a decimal or vice versa. Compare and Order Rational NumbersWrite an inequality with -1.2 and 0.8

Compare and Order Rational NumbersWrite an inequality with -1.2 and 0.8-1.2 < 0.8

-1.2 0.8

Since -1.2 is negative and 0.8 is positive, 0.8 must be greater.

Compare and Order Rational NumbersWrite an inequality with -1.40 and -1.25

Compare and Order Rational NumbersWrite an inequality with -1.40 and -1.25-1.40 < -1.25

-1.40 -1.25

Since -1.25 is to the right of -1.40 it is greater.

Compare and Order Rational Numbers 3 5Which is greater - 8 or -16?

How do we do this?

Compare and Order Rational Numbers 3 5Which is greater - 8 or -16?

Rule #2 When comparing fractions, the denominators must be the same. Then just compare the numerators.

How can we make the denominators the same?

Compare and Order Rational Numbers 3 5Which is greater - 8 or -16?

3 x 2 5 - 8 x 2 -16

6 5 - 16 < -16

Compare and Order Rational Numbers 7 4 10 5

Can we multiply the smaller denominator by something to get the larger denominator?

Compare and Order Rational Numbers 7 4 10 5

Can we multiply the smaller denominator by something to get the larger denominator? Yes, 5 x 2 = 10.

Compare and Order Rational Numbers 7 4 10 5

7 4 x 2 10 5 x 2

7 8 10 < 10

Compare and Order Rational Numbers 8 - 0.51 -15

How do we do this?

Compare and Order Rational Numbers 8 - 0.51 -15

Rule #3 When comparing a decimal and a fraction, one form must be converted to the other. Either convert the fraction to a decimal or vice versa.

Which do we convert?

Compare and Order Rational Numbers 8 - 0.51 -15

0.53 We can stop here, why? 15 ) 8.00 -75 50 -45

Compare and Order Rational Numbers 8 - 0.51 -15

0.53 Because the second digit is different. 15 ) 8.00 -75 50 -45

-.051 > - 0.53

Compare and Order Rational Numbers - 3 -3.625

Do this on your own.

Compare and Order Rational Numbers - 3 -3.625 0.625 8 ) 5.000 -48 20 -16 40 -40 0 -3.625 = -3.625

Compare and Order Rational Numbers 0.413

Do this on your own.

Compare and Order Rational Numbers 0.413

0.42 I can stop here, why? 7 ) 3.00 -28 20 -14 6

Compare and Order Rational Numbers 0.413

0.42 Because the second digit is different. 7 ) 3.00 -28 20 -14 6

Compare and Order Rational Numbers 0.413 0.42 > 0.413, so

> 0.413

Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25 , -2 10 } Do this on your own.

Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25 , -2 10 } 22 x 4 88 22 88 25 x 4 = 100, so -2 25 = -2 100 = -2.88

1 x 10 10 1 10 10 x 10 = 100, so -2 10 = -2 100 = -2.10

Compare and Order Rational Numbers Order the set from least to greatest. 22 1 {- 2.46, -2 25 , -2 10 } 22 x 4 88 22 88 25 x 4 = 100, so -2 25 = -2 100 = -2.88

1 x 10 10 1 10 10 x 10 = 100, so -2 10 = -2 100 = -2.10

22 1 -2 25 , -2.46, -2 10

Compare and Order Rational Numbers How do we compare fractions and decimals?

Compare and Order Rational NumbersAgenda Notes

Homework Homework Practice 5-5Due Tuesday, Nov 12

Chapter 5 Test Friday, Nov 15After School Help SessionThursday, Nov 14 2:15 3PM