PROPERTIES OF OPERATIONS ON INTEGERS.ppt

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1. GRADE 7
QUARTER 1
WEEK 5

2. ANAGRAM
•Is a type of word play, the result of
rearranging the letters of a word or
phrase to produce a new word or phrase,
using the original letters exactly once
•Example: CARTHORSE = ORCHESTRA

3. WORD JUMBLE

4. –Two integers that are added and
multiplied remain as integers. The set of
integers is closed under addition and
multiplication.
LUSCORE
CLOSURE
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5. Changing the order of two numbers that
are either being added or multiplied does
not change the value.
MVUICOMATTE
COMMUTATIVE
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6. Whentwonumbershavebeenadded/subtractedand
thenmultipliedbyafactor,theresultwillbethesame
wheneachnumberismultipliedbythefactorandthe
productsarethenadded/subtract
ITIDISTURVE
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DISTRIBUTIVE

7. Additive Identity -states that the sum of any number and 0 is the
given number. Zero, is the additive identity.
Multiplicative Identity -states that the product of any number and
1 is the given number,
a . 1= a. One, is the multiplicative identity.
TINYDTE
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IDENTITY

8. In Addition
-states that the sum of any number and its additive inverse, is zero.
The additive inverse of the number a is .a.
In Multiplication
-states that the product of any number and its multiplicative inverse or
reciprocal, is 1.The multiplicative inverse of the number a is 1.
SEVENRI
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INVERSE

9. Changingthegroupingofnumbersthatare
eitherbeingaddedormultiplieddoesnot
changeitsvalue.
TISOCIAASVE
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ASSOCIATIVE

10. PROPERTIES OF OPERATIONS ON INTEGERS
1.ClosureProperty
Twointegersthatareaddedandmultipliedremainas
integers.Thesetofintegersisclosedunderaddition
andmultiplication.

12. PROPERTIES OF OPERATIONS ON INTEGERS
2.CommutativeProperty
Changingtheorderoftwonumbersthatareeither
beingaddedormultiplieddoesnotchangethevalue.

14. PROPERTIES OF OPERATIONS ON INTEGERS
3.AssociativeProperty
Changingthegroupingofnumbersthatareeither
beingaddedormultiplieddoesnotchangeitsvalue.

16. PROPERTIES OF OPERATIONS ON INTEGERS
4.DistributiveProperty
Whentwonumbershavebeenadded/subtractedandthen
multipliedbyafactor,theresultwillbethesamewheneach
numberismultipliedbythefactorandtheproductsarethen
added/subtract

18. PROPERTIES OF OPERATIONS ON INTEGERS
5.IdentityProperty
AdditiveIdentity-statesthatthesumofanynumberand0is
thegivennumber.Zero,istheadditiveidentity.
MultiplicativeIdentity-statesthattheproductofanynumber
and1isthegivennumber,
a.1=a.One,isthemultiplicativeidentity.
2 x 1 =
2

21. PROPERTIES OF OPERATIONS ON INTEGERS
6.InverseProperty
InAddition
-statesthatthesumofanynumberanditsadditive
inverse,iszero.
Theadditiveinverseofthenumberais.a.

23. PROPERTIES OF OPERATIONS ON INTEGERS
6.InverseProperty
InMultiplication
-statesthattheproductofanynumberandits
multiplicativeinverseor
reciprocal,is1.Themultiplicativeinverseofthenumber
ais1.