4

Matching:Forquestions#9–18,Matchthenumberpropertytoitsappropriateexample.

__________9.AssociativePropertyofMultiplication A. (3+4)+5=5+(3+4)

__________10.AssociativePropertyofAddition B. 3×1=3

__________11.CommutativePropertyofAddition C. 3 -) =1

__________12.CommutativePropertyofMultiplication D. 3×0=0

__________13.IdentityElementofMultiplication E. (3×4)×5=5×(3×4)

__________14.IdentityElementofAddition F. 5+-5=0

__________15.DistributiveProperty G. 7(4+8)=7(4)+7(8)

__________16.InverseElementofAddition H. 10×(4×2)=(10×4)×2

__________17.InverseElementofMultiplication I. (9+12)+6=9+(12+6)

__________18.ZeroProductProperty J. 3+0=3

19.Whichofthefollowingillustratestheassociativepropertyofmultiplication? a)a(bx)=(ab)x b)9(x+2)=9∙x+9∙2 c)c+(d+e)=(c+d)+e d)5(x∙2)x=5(2∙x)x

20.Whichpropertyjustifiesthestatement(a–b)∙0=0? a)InversePropertyofAddition b)IdentityofMultiplication c)InversePropertyofMultiplication d)ZeroProductProperty

H lI 1

A 1E

B

J

GF

C 1D I

DoNow_DS't CI dX groupingX

commutative

6

Name:____________________________________________________ Date:_________________________Lesson1-3 N.RN.3a

Adding&SubtractingIntegersGuidedPractice:1.−' + )___________Start:0Move:_________3unitsMove:_________8units

2.−*+ + '__________Start:0Move:_____________unitsMove:_____________units

3.– - + (−')___________Start:0Move:_____________unitsMove:_____________units

4.0 − (−))___________Start:0Move:_____________unitsMove:_____________units

Discovery:

• Whatrulecouldyoucomeupwithforaddingintegers?

• Whatrulecouldyoucomeupwithforsubtractingintegers?

1.2+9=______

2.-4–5=______

3.-7–3=______

4.-5–6=______

5.-3–1=______

6.-8–5=______

7.-4+10=______

8.-8+15=______

9.-4+12=______

10.3–15=______

11.5–10=______

12.12–18=_____

85

tight

5

Hang7

tefft's af ff a

7

He 1 pm

f figight omg 8

if both are or 0 add them and keepthe samesignif theyare differentsubtractthem andkeepthesign of the bigger

K C Ckeepchange change

cc 11 6 cc 12s t 6 3 t 15

9 4 7 5I Ees 5 E w

lo 13 8 6I ES IEE Faffs

7

PracticewithADDINGandSUBTRACTINGintegers!Completethefollowingoperations.Makesuretoincludetheappropriatesign.

ConstructedResponse:1) AlyssaandStevenarehavingadiscussionaboutcombiningtwointegers,negativefourandpositive

seven.Alyssathinksthat-4and7areintegers.StevendisagreeswithAlyssa.Statewhoiscorrectandthenexplainyouranswer.

2) Lookatthetwosolutionsbelow.Whoiscorrectandexplainwhytheyarecorrect?

Tim’s work

Combine:

6 + (−18)

12

Sam’s work

Combine:

6 + (−18)

−12

DoNowpg7_

Alyssa is correct because integers are counting

numbers and their negatives

5am is correct becausehe kept the sign ofthe larger number

8

Name:____________________________________________________ Date:_________________________Lesson1-4 N.RN.3a

Multiplying&DividingIntegersGuidedPractice:1) 4×3=

2) -D) =3) −5 7 = 4)−6 ∙ −4 = 5)30 ÷ −3 =YouTry:

12

5

35 24 10

48 64 805 110 2412 84 40

108 2800 4v280

8 9 35 5 77 to 2

9

Name:____________________________________________________ Date:_________________________Lesson1-5 N.RN.3a

OrderofOperations

1) 6 + 20 ÷ 4 − 3 2)50 ÷ [2 + 5 − 2 ] 3) IJKD/L) ∙)

YouTry:4)2" ÷ 4 + 5 5)12•3–21÷7 6)14 ÷ 2×6 − 4 + 10

t

7 4 5 2 10 2

7 4125 tlO 2

7 loot 10 12

7 loot 5

93 5

880

6 5 3 50 3 92 511 3 3

so 5 81 58D81 575