Question

Write the closure ,commutative,associative,and distribution property of addition, subtraction,multiplication,division with two examples​

Answer 1

Step-by-step explanation:

CLOSURE PROPERTY

the closure property states that the sum of two whole no.s (a,b) is always a whole number.(C)

A+B=C(WHOLE NUMBER)

EX A=1 ,B = 5

A+B=1+5

=6

COMMUTATIVE PROPERTY UNDER ADDITION

It states that A+B=B+A

EX A=10 , B=17

A+B=B+A

10+17=17+10

27=27

COMMUTATIVE PROPERTY UNDER MULTIPLICATION

It states that A×B=B×A

EX. A=15 ,B=20

A×B = B×A

15×20 = 20×15

300 = 300

ASSOCIATIVE PROPERTY UNDER ADDITION

It states that A+(B+C)=(A+B)+C

EX. A=12. B= 10. C= 100

A+(B+C) = (A+B) + C

12+(10+100) = (12+10) +100

12+110 = 22+100

122=122

ASSOCIATIVE PROPERTY UNDER MULTIPLICATION

It states that A×(B×C) = (A×B) × C

EX. A =10. B=100. C=15

A×(B×C) = (A×B)×C

10×(100×15) = (10×100)×15

10×1500=1000×15

15000=15000

DISTRIBUTIVE PROPERTY OF ADDITION

It states that a(b+c) = a×b + a×c

EX A=5. B=. 25. C=2

A(B+C) = A×B + A×C

5(25+2) = 5×25 + 5×2

5×27 = 125+10

135=135

DISTRIBUTIVE PROPERTY OF SUBTRACTION

It states that a(b-c) = a×b - a×c

EX. A=2. B=3. C=4

A(B-C) = A×B - A×C

2(3-4) = 2×3 - 2×4

2× (-1). = 6-8

-2 = -2

I WROTE ALL PROPERTIES

HOPE IT HELPS...