Question

(verify following laws) a= 1,b= 8, c= -4 (associative law) (plz solve with full math)​

Answer 1

Explanation:

Example 1: Prove that: 1+(2+3) = (1+2)+3

Taking LHS first,

1+(2+3) = 1+5 = 6

Now let us take RHS

(1+2)+3 = 3+3 = 6

Hence, if we compare,

LHS = RHS

Therefore,

1+(2+3) = (1+2)+3. Proved.

Example 2: Prove that: 3+(-7+9) = (3+(-7))+9

Taking LHS first;

3+(-7+9) = 3+(2) = 5

Now, taking RHS,

(3+(-7))+9 = (3-7)+9 = -4+9 = 5

Hence, from LHS and RHS, it is proved that;

3+(-7+9) = (3+(-7))+9

Proof of Associative Law of Multiplication

Now, let us prove the associative law for multiplication with the help of examples.

Example 3: Prove that:1×(2×3) = (1×2)×3

Taking LHS first,

1×(2×3) = 1×6 = 6

Now let us take RHS

(1×2)×3 = 2×3 = 6

Hence, if we compare,

LHS = RHS

Therefore,

1×(2×3) = (1×2)×3. Proved.

Example 4: Prove that: 3×(-7×9) = (3×(-7))×9

Taking LHS first;

3×(-7×9) = 3×(-63) = -189

Now, taking RHS,

(3×(-7))×9 = (-21)×9 = -189

Hence, from LHS and RHS, it is proved that;

3+(-7+9) = (3+(-7))+9