table of contents math packet grade 6 savio 2 write numbers in word and standard form write the...

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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

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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

3

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

4

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

5

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

7

SimplifyingFractionsandEquivalentFractions

Exercises:Reduceeachfractiontosimplestform.

Exercises:Arethesefractionsequivalent?Writeyesorno.Ifno,explainwhy.

Exercises:Findthemissingnumbersintheequivalentfractionsbelow.

SummerMathPacketGRADE6 SAVIO

8

MixedNumbers,ImproperFractions,Decimals

Exercises:Convertthemixednumberintoanimproperfraction&simplifyifneeded.

Exercises:Converttheimproperfractionintoamixednumber&simplifyifneeded.

Exercises:Convertthefractionintoadecimal.

SummerMathPacketGRADE6 SAVIO

9

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

10

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

11

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

13

MultiplyDecimals

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

workshownbelowandonback.

SummerMathPacketGRADE6 SAVIO

14

OrderofOperations

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

workshownbelow.