Question

Q.25 Give an example for each of the following properties of whole numbers. (4)
a) Closure property of addition b) commutative property of multiplication
c) associative property of addition d) Distributive property of multiplication over addition​

Answer 1

Answer:

Step-by-step explanation:

(a) Closure property of addition

If 'a' and 'b' and any two whole numbers then, then the closure property of addition of whole numbers states that 'a+b' is also a whole number

For example:

Consider two whole numbers 0 and 2, then we can say that their sum

0+2 = 2 , is also a whole number

(b)commutative property of multiplication

If a and b are any two whole numbers, then the commutative property of whole numbers under multiplication states that

a×b = b×a

For example,

Consider two whole numbers 1 and 3, then we have

1×3 = 3 = 3×1

(c)Associative property of addition

If a,b,c are any three whole numbers, then the associative property of whole numbers under addition states that

a+(b+c) = (a+b)+c

For example,

Consider three whole numbers 1,3,7 Then we have

1+ (3+7) = 1+ 10 = 11

(1+3) + 7 = 4+7 = 11

1+ (3+7)  = (1+3) + 7

(d) Distributive property of multiplication over addition​

If a,b,c are any three whole numbers. the distributive property of multiplication over addition​ is given by

a×(b+c)  = a×b + a×c

For example,

consider three whole numbers, 1,2,5. Then we have

1×(2+5) = 1×7 = 7

(1×2) + (1×5) = 2 +5 = 7

1×(2+5)  = (1×2) + (1×5)

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