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Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
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''''''''''1' ' '''''''''''''''''''1.5' ' ''''''''''''''''''2' ' ''''''''''''''2.5' '''''''''''''''''''''''''''''3'
''''''''''3.25''''''''''''''''''''''''''''''3.3' ' ''''''''''''''''''3.35' ' ''''''''''''''3.4' '''''''''''''''''''''''''''3.45'
Name''''' ' ' ' ' ' ' ''' Date''' ' ''''____/24'
1. Decompose'each'fraction'into'hundredths'using'area'models.''Then,'write'an'equivalent'number'sentence'using'decimals.''
a. !!" = !!!!!!!!!''
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b. !"!" = !!!!!!!!!!''
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Decompose'each'fraction'into'hundredths.''Then,'write'an'equivalent'statement'for'each'part'using'decimals.'
c. !!" = !!!!!!!!!!' d.' !
!" = !!!!!!!!!!'
2. Several'points'are'plotted'on'the'number'lines'below.''Identify'the'decimal'number'associated'with'each'point.''
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A.' ______' B.' ______' C.' ______''
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D.'''______' E.' _______' F.' ______''''
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A' B' C'
D' E' F'
Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
'3. Use'the'symbols'>,'=,'or'<'to'compare'the'following.''Justify'your'conclusions'using'pictures,'
numbers,'or'words.''a. 0.03' '''''''0.33' b.' 0.4' ''''''''''0.40'
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c. 15'tenths' 1.5' ' ' ' ' d.'''1.05'''''''''''1 !!"'
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e. 0.18' !!!!!!!"!"' ' ' ' ' ' f.'''3.05''''''''''''3 !!""'
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g. 3'tenths''+'5'hundredths''' 2'tenths'+'11'hundredths''
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h. 5'hundredths'+'8'tenths'' 5'tenths'+'15'hundredths'
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Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
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4. Solve.'
a. Express'your'solution'as'a'fraction'of'a'meter.' ' 0.4'm'+'1.25'm''''''
b. Express'your'solution'as'a'fraction'of'a'liter.'' ' 1.6'L'+'0.52'L''''''
c. Express'your'solution'as'a'fraction'of'a'dollar.'' ' 3'dimes'1'penny'+'58'pennies''''''
5. Solve.'
a. !!" !+!
!!""' b.' !
!" !+!!"!""'
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c. !!" !+!
!!!""' d.' !"
!"" !+!!!"'
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e. !"!"" !+!
!"!"' f.' !
!" !+!!"!"" !+!
!!"'
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Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
''''''''''''''58' ' '''''''''''''''''''' ' '''''''''''''''''''''''''''''''''''''''''''''59' ' ''''''''''''''''' '''''''''''''''''''''''''''''
58.21'
58' !"!""'
6. Answer'the'following'questions'about'a'swim'meet.'
a. Mandy'and'Kim'swam'in'a'relay'race.''Mandy'had'a'time'of'57.6'seconds.''Kim'had'a'time'of'58.42'seconds.''Together,'how'long'did'it'take'them'to'complete'the'swim'race?''Record'your'answer'as'a'decimal.'
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b. The'times'of'the'5'fastest'swimmers'were'58.21'seconds,'58.42'seconds,'58.6'seconds,'58.70'seconds,'and'58.75'seconds.''Locate'these'times'on'the'number'line.''Record'the'times'as'decimals'and'fractions.''One'has'been'completed'for'you.'
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c. Kim'swam'as'far'as'she'could'in'60'seconds.'Her'first'try'she'swam'25.05'meters.''She'swam'2.3'meters'farther'on'her'next'swim.''Write'a'statement'to'compare'the'two'distances'that'Kim'swam'using'>,'<,'or'=.'
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Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
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d. At'the'store,'Jim'spent'86'cents'on'a'soda'and'6'dimes'on'a'candy'bar.''Shade'the'area'models'to'represent'the'cost'of'each'item.'
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e. Write'a'number'sentence'in'fraction'form'to'find'the'total'cost'of'a'soda'and'a'candy'bar.''After'solving,'write'the'complete'number'sentence'in'decimal'form.'
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f. Mary'and'Sam'each'have'an'empty'snack'container.''They'mark'their'containers'to'show'tenths.''Mary'and'Sam'each'fill'their'containers'with'0.2'units'of'chips.''However,'Mary'has'more'chips'in'her'container.''Explain'how'this'is'possible.'
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Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
='
''''''''''1' ' '''''''''''''''''''1.5' ' ''''''''''''''''''2' ' ''''''''''''''2.5' '''''''''''''''''''''''''''''3'
''''''''''3.25' ' '''''3.3' ' ''''''''''''''''''3.35' ' ''''''''''''''3.4' ''''''''''''''''''''''''''3.45'
Answer'Key'
1. Decompose'each'fraction'into'hundredths'using'area'models.''Then,'write'an'equivalent'number'sentence'using'decimals.'(4pts=parts'aNd'correct,'3pts=3'of'4'parts'correct'with'reasoning'or'4'parts'without'shading'the'charts,'2pts='2'parts'correct,'1pt='fewer'than'2'parts'correct)(4.NF.5,'4.NF.6)''
a.' !!" =!"
!!!!!!!""!!!''
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!. !"!" =!"#
!!!!""!!!''
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Decompose'each'fraction'into'hundredths.''Then,'write'an'equivalent'statement'for'each'part'using'decimals.'
!.!!!! !!" =!"
!!!!!""!!!!!!'='0.30' d.' !!" =
!"!!!!!!!""!!!!='0.80'
2. Several'points'are'plotted'on'the'number'lines'below.''Identify'the'decimal'number'associated'with'each'point.'(4pts=all'correct,'3'pts=4'or'5'correct,'2pts=3'parts'correct,'1pt=2'or'fewer'correct)(4.NF.6)'
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A.' 1.2' B.' 1.9' C.' 2.7'
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D.''3.27' E.' 3.34' F.' 3.41''
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A'B'
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D' E' F'
Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
'3. Use'the'symbols'>,'=,'or'<'to'compare'the'following.''Justify'your'conclusions'using'pictures,'
numbers,'or'words.'(4pts='all'8'parts'correct'using'pictures,'numbers'or'words,'3pts=6'or'7'correct'with'reasoning'or'all'correct'no'reasoning,'2pts=4'or'5'correct'some'reasoning,'1pt=four'or'fewer'correct)(4.NF.6,'4.NF.7)''
a.''0.03' <'''''''0.33' b.' 0.4' '''''='''''0.40'
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c.'15'tenths'''<' ''1.5' ' ' ' ' ' d.'''1.05''''''''<''''1 !!"'
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e.'0.18''''''<''!!!!!!!"!"' ' ' ' ' ' f.'''3.05'''''''='''''3 !!""'
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g.''3'tenths''+5'hundredths'''''''>' 2'tenths'+'11'hundredths''
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h.''5'hundredths'+'8'tenths'''''''>' 5'tenths'+'15'hundredths'
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!!""'<'
!!!""'
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!!"'='
!"!""'
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!"!"'<'1
!!"'
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1 !!""'<'1
!"!""'
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!"!""'<'
!"#!""'
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3 !!""'=''3
!!""'
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3!!"#!ℎ! + 5!ℎ!"#$%#&ℎ! = 0.35 = !"!""''''''''''''''''''''
!"!""'>'
!"!""'''''''''''''''''''''''''''
2"tenths"+"11"hundredths!='0.2'+'0.11'='0.32'=' !"!""'
5!ℎ!"#$%#&ℎ! + 8!!"#!ℎ! = 0.85 = !"!""''''''''''''''''''''
!"!""'>'
!"!""'''''''''''''''''''''''''''
5"tenths"+"15"hundredths!='0.5'+'0.15'='0.65'=' !"!""'
Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
4. Solve.'(4pts=correctly'answers'a'3'parts,'3pts=2'parts'with'reasoning'or'3'parts'some'reasoning,'2pts=2'parts'correct'limited'reasoning,'1pt=fewer'than'2'parts'correct)(4.NF.5)'
a. Express'your'solution'as'a'fraction'of'a'meter.' ' 0.4'm'+'1.25'm''''''
b. Express'your'solution'as'a'fraction'of'a'liter.'' ' 1.6'L'+'0.52'L''''''
c. Express'your'solution'as'a'fraction'of'a'dollar.'' ' 3'dimes'1'penny'+'58'pennies''3'dimes'='0.30,'1'penny'='0.01,'58'pennies'='0.58''''
5. Solve.'(4pts=a'6'correct,'3pts=5'correct,'2pts=3'or'4'correct,'1pt='less'than'3'correct)(4.NF.5)'
a. !!" !+!
!!""' b.' !
!" !+!!"!""'
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''''''!.!!!! !!" !+!!!!""' d.' !"
!"" !+!!!"'
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'''''''!.!!!! !"!"" !+!!"!"' f.' !
!" !+!!"!"" !+!
!!"'
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''1.25'''''''''''+0.40'''1.65'
1.65m'='1 !"!""'m'
''1.60'''''''''''+0.52'''2.12'
2.12'L'='2 !"!""'L'
''0.58'''''''''''+0.31'''0.89'
0.89'cents'=' !"!""'cents'
!!"'='
!"!""'
!"!""'+'
!!""'='
!"!""'
!!"'='
!"!""'
!"!""'+'
!"!""'='
!"!""'
!!"'='
!"!""'
!"!""'+'
!!!""'='
!"!""''
!!"'='
!"!""'
!"!""'+'
!"!""'='
!"#!""'or'1
!"!""'
!"!"'='
!""!""'
!"!""'+'
!""!""'='
!"#!""'or'2
!"!""'
!!"'='
!"!""''''''''''
!!"'='
!"!""'
!"!""'+'
!"!""'+'
!"!""'='
!!!""''
Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
''''''''''''''58' ' '''''''''''''''''''' ' '''''''''''''''''''''''''''''''''''''''''''''59' ' ''''''''''''''''' '''''''''''''''''''''''''''''
58.21'
58' !"!""'
6. Answer'the'following'questions'about'a'swim'meet.'(4pts=all'6'correct'with'evidence,'3pts=5'correct'with'reasoning'or'6'with'no'reasoning,'2pts=3'or'4'correct'some'reasoning,'1pt=less'than'3'correct)(4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2)'
a. Mandy'and'Kim'swam'in'a'relay'race.''Mandy'had'a'time'of'57.6'seconds.''Kim'had'a'time'of'58.42'seconds.''Together,'how'long'did'it'take'them'to'complete'the'swim'race?''Record'your'answer'as'a'decimal.'
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b. The'times'of'the'5'fastest'swimmers'were'58.21'seconds,'58.42'seconds,'58.6'seconds,'58.70'seconds,'and'58.75'seconds.''Locate'these'times'on'the'number'line.''Record'the'times'as'decimals'and'fractions.''One'has'been'completed'for'you.'
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c. Kim'swam'as'far'as'she'could'in'60'seconds.'Her'first'try'she'swam'25.05'meters.''She'swam'2.3'meters'farther'on'her'next'swim.''Write'a'statement'to'compare'the'two'distances'that'Kim'swam'using'>,'<,'or'=.'
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'''''''58.42'+'''''57.60''''''116.02'''''seconds'for'Mandy'and'Kim'to'complete'the'swim'race.'
58.75'
58' !"!""'
58.42'
58' !"!""'
58.70'
58' !"!""'
58.6'
58' !"!""'
'''''''25.05'+'''''02.30''''''''27.35'''''meters'for'Kim’s'second'race'
''''''25.05'<'27.35''
Eureka'Math'End'of'Module'Review'4.6'''
Common'Core'Standards:'4.NF.5,'4.NF.6,'4.NF.7,'4.MD.2''
d.''At'the'store,'Jim'spent'75'cents'on'a'soda'and'7'dimes'on'a'candy'bar.''Shade'the'area'models'to'represent'the'cost'of'each'item.'
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e.''Write'a'number'sentence'in'fraction'form'to'find'the'total'cost'of'a'soda'and'a'candy'bar.''After'solving,'write'the'complete'number'sentence'in'decimal'form.'
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f.'Mary'and'Sam'each'have'an'empty'snack'container.''They'mark'their'containers'to'show'tenths.''Mary'and'Sam'each'fill'their'containers'with'0.2'units'of'chips.''However,'Mary'has'more'chips'in'her'container.''Explain'how'this'is'possible.'
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Mary’s'snack'container'is'larger'and'hold'more'chips,'so'if'she'has'.2'units'of'her'container'filled'and'Sam'has'.2'units'as'well,'Mary’s'.2'will'be'larger'than'Sam’s.'
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!"!""+ !
!"!""!'='
!"#!""'='1'
!"!""'
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'''0.75'+'0.70''''1.45''''''''''''$1.45'
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