If a = 8 , b = 5 and c = 2 , find the following: a × b - c and a b - a c

Given whole numbers a = 8 , b = 5 and c = 2 . Let us find a × b - c = 8 × 5 - 2 = 8 × 3 = 24 ⇒ a b - a c = 8 × 5 - 8 × 2 = 40 - 16 = 24 Therefore a × b - c = a b - a c Hence, the distributive property of multiplication holds good for subtraction of whole numbers.

If a = 3 , b = 5 and c = 10 , verify: a × b + c = a b + a c

Given whole numbers a = 3 , b = 5 and c = 10 . Let us find a × b + c = 3 × 5 + 10 = 3 × 15 = 45 ⇒ a b + a c = 3 × 5 + 3 × 10 = 15 + 30 = 45 Therefore a × b + c = a b + a c Hence, the distributive property of multiplication holds good for addition of whole numbers.

If a = 3 , b = 5 and c = 10 , find the following: a × b - c and a b - a c

Given whole numbers a = 3 , b = 5 and c = 10 . Let us find a × b - c = 3 × 5 - 10 = 3 × - 5 = - 15 ⇒ a b - a c = 3 × 5 - 3 × 10 = 15 - 30 = - 15 Therefore a × b - c = a b - a c Hence, the distributive property of multiplication holds good for subtraction of whole numbers.

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 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 = 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.

E M B I B E

Excellence in Mathematics>Chapter 2 - Whole Numbers>ASSIGNMENT 2.2

Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Whole Numbers, Exercise 3: ASSIGNMENT 2.2

Author:Dr. Sanjeev Verma & R.K. Tyagi

Dr. Sanjeev Verma Mathematics Solutions for Exercise - Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Whole Numbers, Exercise 3: ASSIGNMENT 2.2

Attempt the practice questions on Chapter 2: Whole Numbers, Exercise 3: ASSIGNMENT 2.2 with hints and solutions to strengthen your understanding. Excellence in Mathematics solutions are prepared by Experienced Embibe Experts.