By: Kellea McGehee

Comparing and Ordering Comparing and Ordering DecimalsDecimals5th Grade Math

The purpose of today’s The purpose of today’s lesson is to:lesson is to:

Compare decimals Compare decimals

Ex: 2.4 > 2.04Ex: 2.4 > 2.04

Order decimals Order decimals

1.02, 1.25, 1.50 (least to greatest)1.02, 1.25, 1.50 (least to greatest)

1.50, 1.25, 1.02 (greatest to least)1.50, 1.25, 1.02 (greatest to least)

Reviewing Place ValuesReviewing Place Values

HundredsHundreds TensTens OnesOnes TenTenthsths HundredHundredthsths

00 00 77 22 99

To the hundredths place!

How do we say this in words?

Reading DecimalsReading Decimals

In words, 7.29 is In words, 7.29 is seven and twenty-nine seven and twenty-nine hundredthshundredths

Decimals to the hundredths place value!

Reviewing Place ValuesReviewing Place Values

HundreHundredsds

TenTenss

OneOness

TenTenththss

HundredHundredtthshs

ThousandThousandtthshs

00 66 33 11 77 44

To the Thousandths Place!

How do we say this in words?Lets take a look…

Reading DecimalsReading Decimals

Decimals to the thousandths place:Decimals to the thousandths place:

In words, 63.174 is sixty-three and one hundred seventy-four thousandths.

Reading DecimalsReading Decimals

2.4 =2.4 = Two and four tenthsTwo and four tenths

2.04 =2.04 = Two and four hundredthsTwo and four hundredths

2.004 =2.004 = Two and four thousandthsTwo and four thousandths

Comparing DecimalsComparing Decimals

How does this work?

Comparing DecimalsComparing Decimals Step 1: Line up the decimal pointsStep 1: Line up the decimal points Step 2: Find the first place where the digits Step 2: Find the first place where the digits

differdiffer Step3: Compare the differing digitsStep3: Compare the differing digits Step 4: Use <, >, or = to state your answerStep 4: Use <, >, or = to state your answer

Comparing DecimalsComparing Decimals

Example :Example : Line up the decimal Line up the decimal pointspoints

68.5668.563368.5668.560033

Starting at the left, find Starting at the left, find the first place the digits the first place the digits differdiffer Compare the digitsCompare the digits 3 > 03 > 0 Since 3 > 0Since 3 > 0(three is greater than zero)(three is greater than zero)

68.563 > 68.560368.563 > 68.5603

How do we compare decimals:How do we compare decimals:

Comparing Decimals: Comparing Decimals: PracticePractice

Practice:Practice:

4.08 4.0604.08 4.060

Answer:Answer:

4.08 > 4.08 > 4.0604.060

Practice:Practice:

50.030 50.03150.030 50.031

Use >, <, or = to compare each pair of decimals.

Answer:Answer:

50.030 < 50.03150.030 < 50.031

Ordering DecimalsOrdering Decimals

How do we go from How do we go from leastleast to to greatestgreatest??

How do we go from How do we go from greatestgreatest to to leastleast??

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Ordering DecimalsOrdering Decimals

How do we order decimals:How do we order decimals:

Step 1Step 1 Step 2Step 2 Step 3Step 3Line up the Line up the

decimal pointsdecimal pointsAnnex zeros so Annex zeros so that each has that each has the same the same number of number of decimal decimal places. places.

Use place value Use place value to compare and to compare and order the order the decimalsdecimals. .

Ordering DecimalsOrdering Decimals

Step 1Step 1 Step 2Step 2 Step 3Step 3Line up the Line up the

decimal pointsdecimal pointsAnnex zeros Annex zeros so that each so that each has the same has the same number of number of decimal decimal places. places.

Use place value Use place value to compare and to compare and order the order the decimalsdecimals. .

ExampleExample

4.0734.073

4.734.73

4.00734.0073

44

4.0734.07300

4.734.730000

4.00734.0073

4.4.00000000

4.0004.000

4.00734.0073

4.07304.0730

4.73004.7300

From Least to Greatest

Ordering DecimalsOrdering Decimals

Step 1Step 1 Step 2Step 2 Step 3Step 3Line up the Line up the

decimal pointsdecimal pointsAnnex zeros Annex zeros so that each so that each has the same has the same number of number of decimal decimal places. places.

Use place value to Use place value to compare and compare and order the order the decimalsdecimals. .

ExampleExample

3.0743.074

3.733.73

3.00733.0073

33

3.0743.07400

3.733.730000

3.00733.0073

3.3.00000000

3.73003.7300

3.07403.0740

3.00733.0073

3.00003.0000

From Greatest to Least

Ordering Decimals: Ordering Decimals: PracticePractice

Order from Least to Greatest:Order from Least to Greatest: 3.01, 3.009, 3.09, 3.00013.01, 3.009, 3.09, 3.0001

Order from Greatest to Least:Order from Greatest to Least: 45.303, 45.003, 45.03, 45.03345.303, 45.003, 45.03, 45.033

Answer- 3.0001, 3.009, 3.01, 3.09Answer- 3.0001, 3.009, 3.01, 3.09

Answer- 45.303, 45.033, 45.03, 45.003

Review: Comparing Review: Comparing DecimalsDecimals

Step 1: Line up the decimal pointsStep 1: Line up the decimal points Step 2: Find the first place where the digits differStep 2: Find the first place where the digits differ Step3: Compare the differing digitsStep3: Compare the differing digits Step 4: Use <, >, or = to state your answerStep 4: Use <, >, or = to state your answer

Step 1Step 1 Step 2Step 2 Step 3Step 3

Line up the decimal Line up the decimal pointspoints

Annex zeros so Annex zeros so that each has the that each has the same number of same number of decimal places. decimal places.

Use place value to Use place value to compare and order compare and order the decimals. the decimals.

Review: Ordering Decimals

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How often do you feel you How often do you feel you use good number sense?use good number sense?

AlwaysAlways SometimeSometimess

NeverNever

22 33 00

0

0.5

1

1.5

2

2.5

3

Always Never

Practice LinksPractice Links

Comparing Decimals Comparing Decimals Homeschoolmath.NetHomeschoolmath.Net

Ordering Decimals-Ordering Decimals-MATHSCORE.COMMATHSCORE.COM

Image ReferencesImage References

Cool Math: Place Values for DecimalsCool Math: Place Values for Decimals

MathTeacher.comMathTeacher.com

HelpingwithMath.comHelpingwithMath.com

Google ImagesGoogle Images