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Summer Math Packet GRADE 6 SAVIO 1 Name ________________________________________________ THIS ASSIGNMENT IS DUE WEDNESDAY, SEPTEMBER 5 th – THE FIRST FULL DAY OF THE NEW SCHOOL YEAR. Table of Contents Page Objective Suggested Completion Date 2-3 Place value and rounding June 22 nd 4 Add and subtract whole numbers June 29 th 5 Multiply and divide whole numbers July 6 th 6 Factors and multiples July 13 th 7 Simplifying fractions and equivalent fractions July 20 th 8-9 Mixed numbers, improper fractions, decimals July 27 th 10 Add and subtract fractions August 3 rd 11 Multiply and divide fractions August 10 th 12 Add and subtract decimals August 17 th 13 Multiply decimals August 24 th 14 Order of Operations August 31 st

Table of Contents Math Packet GRADE 6 SAVIO 2 Write Numbers in Word and Standard Form Write the number name (word form). 1) 560.08

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SummerMathPacketGRADE6 SAVIO

1

Name________________________________________________

THISASSIGNMENTISDUEWEDNESDAY,SEPTEMBER5th–THEFIRSTFULL

DAYOFTHENEWSCHOOLYEAR.

TableofContents

Page Objective SuggestedCompletionDate

2-3 Placevalueandrounding June22nd

4 Addandsubtractwholenumbers June29th

5 Multiplyanddividewholenumbers July6th

6 Factorsandmultiples July13th

7 Simplifyingfractionsandequivalentfractions July20th

8-9 Mixednumbers,improperfractions,decimals July27th

10 Addandsubtractfractions August3rd

11 Multiplyanddividefractions August10th

12 Addandsubtractdecimals August17th

13 Multiplydecimals August24th

14 OrderofOperations August31st

SummerMathPacketGRADE6 SAVIO

2

WriteNumbersinWordandStandardForm

Writethenumbername(wordform).

1)560.08_______________________________________________________________________________________________

2)7.016_______________________________________________________________________________________________

3)24.47_______________________________________________________________________________________________

4)6,003_______________________________________________________________________________________________

5)3,005,600.07__________________________________________________________________________________________

Writethenumberthenamerepresents(standardform).

6)Forty-fivethousandths

7)Seventeenandsevenhundredths

8)Fivemillion,threehundredthousand,twenty-nineandsixtenths

9)Sixmillionandfivethousandths

10)Twohundredeightthousand,four

SummerMathPacketGRADE6 SAVIO

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RoundingWholeNumbersandDecimals

Roundeachnumbertothenearestthousand.

1.)7,392______________________ 2.)62,831_________________________

Roundeachnumbertothenearesthundred.

3.)5,969______________________ 4.)521,059________________________

Roundeachnumbertothenearestten.

5.)685________________________ 6.)94,008__________________________

Roundeachnumbertothenearestwhole.

7.)517.346______________________ 8.)0.82______________________________

Roundeachnumbertothenearesttenth.

9.)62.451_______________________ 10.)9.07___________________________

Roundeachnumbertothenearesthundredth.

11.)0.423_______________________ 12.)7.396_________________________

Roundeachnumbertothenearestthousandth.

13.)51.0483_____________________ 14.)0.8734________________________

SummerMathPacketGRADE6 SAVIO

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AddandSubtractWholeNumbers

Solve:NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

1.)6,496+3,288= 2.)54,398+64,508=

3.)3,254+8,913= 4.)754–549=

5.)54,678+74,357= 6.)98,455–14,789=

7.)30,904–32,899= 8.)908–774=

SummerMathPacketGRADE6 SAVIO

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MultiplyandDivideWholeNumbers

Solve:NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

*Foranswerswithremaindersshow2ways(useRnotationANDusefraction).

24 ÷ 5 =

108 ÷ 6 =

116 x 15 =

153 ÷ 11=

74 x 11 =

190 ÷ 19 =

963 ÷ 27 =

79 x 9 =

837 ÷ 67 =

444 x 77 =

114 ÷ 4 =

42 x 58 =

SummerMathPacketGRADE6 SAVIO

6

FactorsandMultiples

Exercises:Listallthefactorsforeachnumber.CircletheGreatestCommonFactor.

1)18and24 2)12and15

3)17and20 4)21and40

Exercises:Findthefirst10multiplesofthefollowing.CircletheLeastCommonMultiple.

5)12and4

6)9and8

SummerMathPacketGRADE6 SAVIO

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SimplifyingFractionsandEquivalentFractions

Exercises:Reduceeachfractiontosimplestform.

Exercises:Arethesefractionsequivalent?Writeyesorno.Ifno,explainwhy.

Exercises:Findthemissingnumbersintheequivalentfractionsbelow.

SummerMathPacketGRADE6 SAVIO

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MixedNumbers,ImproperFractions,Decimals

Exercises:Convertthemixednumberintoanimproperfraction&simplifyifneeded.

Exercises:Converttheimproperfractionintoamixednumber&simplifyifneeded.

Exercises:Convertthefractionintoadecimal.

SummerMathPacketGRADE6 SAVIO

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Exercises:Convertthedecimalintoafractionandsimplifyifneeded.

1.)0.9 2.)1.3

3.)2.8 4.)0.6

5.)0.36 6.)3.95

7.)0.582 8.)2.375

9.)1.450 10.)0.6222

SummerMathPacketGRADE6 SAVIO

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BackgroundofFractions

Splitandlabelthefollowingfractionalparts(circles)withthegivenfractions.

1.) 13 2.) 7

8 3.) 3

2

AddingandSubtractingFractions

Hints/Guide:Whenaddingandsubtractingfractions,youneedtobesurethateachfractionhasthesamedenominator,thenaddorsubtractthenumerators.Finalanswersshouldbesimplifiedandinmixedformifapplicable.

Solve:NoCalculators!Usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

answersshownbelowonlines:

(a)_____________________________________ (b)____________________________________

(c)_____________________________________ (d)____________________________________

(e)_____________________________________ (f)____________________________________

(g)_____________________________________ (h)____________________________________

SummerMathPacketGRADE6 SAVIO

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MultiplyandDivideFractions

Solve:NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

SummerMathPacketGRADE6 SAVIO

12

AddandSubtractDecimals

Solve:NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

Hints/Guide:Whenaddingandsubtractingdecimals,thekeyistolineupthedecimalsaboveeachother,insertzerossoallnumbershavethesameplacevaluelength,thenusethesamerulesasaddingandsubtractingwholenumbers,withtheanswerhavingadecimalpointinlinewiththeproblem.

1)15.7+2.34+5.06= 2)64.038+164.8+15.7=

3)2.6+64.89+4.007= 4)12.9+2.008+75.9=

5)87.4-56.09= 6)5.908-4.72=

7)68.9-24.74= 8)955.3-242.7=

SummerMathPacketGRADE6 SAVIO

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MultiplyDecimals

Solve:NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

workshownbelowandonback.

SummerMathPacketGRADE6 SAVIO

14

OrderofOperations

SimplifyeachnumericalexpressionusingtheOrderofOperations(PEMDAS).NoCalculators!Ifneeded,usethebacksideofthispaperforadditionalworkspace.Nowork=nocredit.

workshownbelow.