If a = 24 , b = 4 and c = 2 , verify whether a ÷ b ÷ c = a ÷ b ÷ c .

Given that a = 24 , b = 4 and c = 2 . If three whole numbers are taken in a particular order and the quotient of the first and the second is divided by the third, then the result is not the same if the first is divided by the quotient of the second and the third. Let us first find out a ÷ b ÷ c = 24 ÷ 4 ÷ 2 = 6 ÷ 2 = 3 Now let us find the value of a ÷ b ÷ c = 24 ÷ 4 ÷ 2 = 24 ÷ 2 = 12 ⇒ 3 ≠ 12 Therefore, a ÷ b ÷ c ≠ a ÷ b ÷ c Hence, the division of whole numbers is not associative.

If a = 24 , b = 4 and c = 2 , verify whether a ÷ b ÷ c = a ÷ b ÷ c .

Given that a = 24 , b = 4 and c = 2 . If three whole numbers are taken in a particular order and the quotient of the first and the second is divided by the third, then the result is not the same if the first is divided by the quotient of the second and the third. Let us first find out a ÷ b ÷ c = 24 ÷ 4 ÷ 2 = 6 ÷ 2 = 3 Now let us find the value of a ÷ b ÷ c = 24 ÷ 4 ÷ 2 = 24 ÷ 2 = 12 ⇒ 3 ≠ 12 Therefore, a ÷ b ÷ c ≠ a ÷ b ÷ c Hence, the division of whole numbers is not associative.

If a = 64 , b = 8 and c = 4 , verify that a ÷ b ÷ c ≠ a ÷ b ÷ c .

Given that a = 64 , b = 8 and c = 4 . If three whole numbers are taken in a particular order and the quotient of the first and the second is divided by the third, then the result is not the same if the first is divided by the quotient of the second and the third. Let us first find out a ÷ b ÷ c = 64 ÷ 8 ÷ 4 = 8 ÷ 4 = 2 Now let us find the value of a ÷ b ÷ c = 64 ÷ 8 ÷ 4 = 64 ÷ 2 = 32 ⇒ 2 ≠ 32 Therefore, a ÷ b ÷ c ≠ a ÷ b ÷ c Hence, the division of whole numbers is not associative.

Divide and check using relation, dividend = ( divisor × quotient ) + remainder: 456 ÷ 17

We need to find 456 ÷ 17 The number to be divided is called the dividend. The number by which we divide the dividend is called the divisor. The number that we get after division is called the quotient. 2 6 1 7 4 5 6 - 3 4 1 1 6 - 1 0 2 1 4 ⇒ 456 = 17 × 26 + 14 Therefore, Dividend = 456 , Divisor = 17 , Quotient = 26 and Remainder = 14

Divide and check using relation, dividend = ( divisor × quotient ) + remainder: 456 ÷ 17

We need to find 259 ÷ 13 The number to be divided is called the dividend. The number by which we divide the dividend is called the divisor. The number that we get after division is called the quotient. 1 9 1 3 2 5 9 - 1 3 1 2 9 - 1 1 7 1 2 ⇒ 259 = 13 × 19 + 12 Therefore, Dividend = 259 , Divisor = 13 , Quotient = 19 and Remainder = 12

Verify that b × c = a if a ÷ b = c , for: a = 56 , b = 7

Given that a ÷ b = c for a = 56 , b = 7 ⇒ 56 ÷ 7 = 8 ⇒ c = 8 ⇒ b × c = 7 × 8 = 56 Also, the value of a is 56 . ⇒ b × c = a Hence, it is verified.

Verify that b × c = a if a ÷ b = c , for: a = 156 , b = 13

Given that a ÷ b = c for a = 156 , b = 13 ⇒ 156 ÷ 13 = 12 ⇒ c = 12 ⇒ b × c = 13 × 12 = 156 Also, the value of a is 156 . ⇒ b × c = a Hence, it is verified.