Absolute value of an integer is its numerical value without taking the sign into consideration. If ' a ' represents an integer, its absolute value is represented by a and is always non-negative. The absolute value of 5 is 5 , Therefore, the value of - 5 + 5 = - 5 + 5 = 0 . "Hence, the required solution is obtained".

a Given: - 5 6 . Now, - a odd number = - a odd number = Negative number, where a is a positive integer and - a even number = a even number = Positive number, where a is a positive integer. So, - 5 6 = - 5 6 = - 5 × - 5 × - 5 × - 5 × - 5 × - 5 = 15625 Hence, the required answer is 15625 .

Simplify: - 3 2 × - 2 2 × - 1 3

Given: - 3 2 × - 2 2 × - 1 3 . Now, - a odd number = - a odd number = Negative number, where a is a positive integer and - a even number = a even number = Positive number, where a is a positive integer. So, - 3 2 = - 3 2 = - 3 × - 3 = 9 - 2 2 = - 2 2 = - 2 × - 2 = 4 - 1 3 = - 1 3 = - 1 × - 1 × - 1 = - 1 Now, - 3 2 × - 2 2 × - 1 3 = 9 × 4 × - 1 = - 36 Hence, the required answer is - 36 .

Simplify: - 4 2 × 10 4

Given: - 4 2 × 10 4 . Now, - a odd number = - a odd number = Negative number, where a is a positive integer and - a even number = a even number = Positive number, where a is a positive integer. So, - 4 2 = - 4 2 = - 4 × - 4 = 16 10 4 = 10 4 = 10 × 10 × 10 × 10 = 10000 . Now, - 4 2 × 10 4 = 16 × 10000 = 160000 Hence, the required answer is 160000 . .

Simplify: - 1 27 × - 1 53 × - 1 4

Given: - 1 27 × - 1 53 × - 1 4 . Now, - a odd number = - a odd number = Negative number, where a is a positive integer and - a even number = a even number = Positive number, where a is a positive integer. According to the exponent rule, any number raised to the power of one equals the number itself. So, - 1 27 = - 1 27 = - 1 - 1 53 = - 1 53 = - 1 - 1 4 = - 1 4 = 1 Now, - 1 27 × - 1 53 × - 1 4 = - 1 × - 1 × 1 = 1 Hence, the required answer is 1 .

Simplify: 5 × 25 + - 4 × 16 - 8 ÷ 2

From the given, 5 × 25 + - 4 × 16 - 8 ÷ 2 According to the BODMAS rule we need to simplify the expression inside the bracket at first. Now, we will simplify the terms inside ( ) followed by { } , then [ ] . = 5 × 25 + - 4 × 16 - 8 ÷ 2 = 5 × 25 + - 4 × 16 - 4 = 5 × 25 + - 4 × 12 = 5 × 25 + - 48 = 5 × - 23 = - 115 Therefore, - 115 is the required answer.

Simplify: 11 - 5 × 12 + 3 + 11 - 14 ¯

Given expression is 11 - 5 × 12 + 3 + 11 - 14 ¯ Using BODMAS rule, we have 11 - 5 × 12 + 3 + 11 - 14 ¯ 11 - 5 × 12 + 3 + - 3 11 - 5 × 12 + 3 - 3 11 - 5 × 12 + 0 6 × 12 72 Hence, the required answer is 72 .

E M B I B E

Excellence in Mathematics>Chapter 1 - Knowing Our Numbers>ASSIGNMENT 1.1

Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Knowing Our Numbers, Exercise 1: ASSIGNMENT 1.1

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

Dr. Sanjeev Verma Mathematics Solutions for Exercise - Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Knowing Our Numbers, Exercise 1: ASSIGNMENT 1.1

Attempt the practice questions on Chapter 1: Knowing Our Numbers, Exercise 1: ASSIGNMENT 1.1 with hints and solutions to strengthen your understanding. Excellence in Mathematics solutions are prepared by Experienced Embibe Experts.