The document outlines key mathematical properties concerning integers, including the closure, commutative, associative, distributive, identity, and inverse properties. It explains these concepts with definitions and examples that illustrate how operations on integers maintain certain consistencies. Additionally, it emphasizes the roles of additive and multiplicative identities and inverses in both addition and multiplication.

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. When two numbers have been added / subtracted and
then multiplied by a factor, the result will be the same
when each number is multiplied by the factor and the
products are then added / 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. Changing the grouping of numbers that are
either being added or multiplied does not
change its value.
TISOCIAASVE
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ASSOCIATIVE

10. PROPERTIES OF OPERATIONS ON INTEGERS
1. Closure Property
Two integers that are added and multiplied remain as
integers. The set of integers is closed under addition
and multiplication.

12. PROPERTIES OF OPERATIONS ON INTEGERS
2. Commutative Property
Changing the order of two numbers that are either
being added or multiplied does not change the value.

14. PROPERTIES OF OPERATIONS ON INTEGERS
3. Associative Property
Changing the grouping of numbers that are either
being added or multiplied does not change its value.

16. PROPERTIES OF OPERATIONS ON INTEGERS
4. Distributive Property
When two numbers have been added / subtracted and then
multiplied by a factor, the result will be the same when each
number is multiplied by the factor and the products are then
added / subtract

18. PROPERTIES OF OPERATIONS ON INTEGERS
5. Identity Property
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.
2 x 1 =
2

21. PROPERTIES OF OPERATIONS ON INTEGERS
6. Inverse Property
In Addition
- states that the sum of any number and its additive
inverse, is zero.
The additive inverse of the number a is .a.

23. PROPERTIES OF OPERATIONS ON INTEGERS
6. Inverse Property
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.