By: Kellea McGehee Comparing and Ordering Decimals 5 th Grade Math.
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Transcript of By: Kellea McGehee Comparing and Ordering Decimals 5 th Grade Math.
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??
New Visions Technology Inc.
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