NCERT Solutions Class 6 Maths Chapter 10 The Other Side of Zero Exercise 10.5

The 6th grade maths chapter 10 – The Other Side of Zero, comes to an end with exercise 10.5 where the students will solve some practical problems which we in mathematics or at schools call word problems. In this exercise, students will practice applying the concepts of positive and negative numbers in a realistic context, which develops a good understanding of the mechanics of integers when thinking about how they can be used in everyday situations, such as temperature, money, or even elevation above or below sea level. 

The NCERT Solutions Class 6  Maths - Chapter 10 The Other Side of Zero, Exercise 10.5, made with the care of experts and recommended by esteem institutions such as Allen. In no time integers will be made easy and fun with our detailed explanation; as you follow along this guide, real education is happening. The solutions provide an advanced solution with infinite examples to allow for simple and accurate problem solving of negative numbers and its many applications.

1.0Download NCERT Solutions of Class 6 Maths Chapter 10 The Other Side of Zero Exercise 10.5: Free PDF

Download NCERT Solutions for Class 6 Maths Chapter 10 The Other Side of Zero Exercise 10.5 as a free downloadable PDF and easy access. Don't leave before mastering real life integer problems with the trusted name Allan and real teachers, and useful guidance.

2.0Key Concepts of Exercise 10.5

• Mixed operations with integers: Word problems that involve a combination of addition and subtraction of integers and include attention to signs, and order of operations.
• Real life situational problems: Word problems that apply integer concepts to situational problems where we might think of an increase or decrease in temperature for example, a financial transaction where loss and profit are the integers, and an altitude change, etc.
• Applications of the Number Line: Although drawing the number line directly will be less reliant upon, understanding the number line will continue to be an important aspect for endorsing answers and understanding the relative places of integers.
• Comparing and Ordering: Understanding how to compare integers and order a set of integers which includes negative integers, positive integers, and the integer zero will be a constant focus. 
• Additive Inverse: Understanding and making use of the additive inverse concept in variety of problems.

3.0NCERT Exercise Solutions Class 6 Maths Chapter 10 The Other Side of Zero : All Exercises 

4.0NCERT Class 6 Maths Chapter 10 Exercise 10.5 : Detailed Solutions

• Can you explain each of Brahmagupta's rules in terms of Bela's Building of Fun, or in terms of a number line? Sol. Let's break down Brahmagupta's rules using the concept of Bela's Building of Fun and a number line. Brahmagupta's rules primarily deal with operations involving positive and negative numbers. Here's how we can understand them: Brahmagupta's Rules 1.Addition of Positive Numbers:

• Rule: Adding two positive numbers results in a positive number.
• Bela's Building: If Bela starts on the $4^{\text{th }}$ floor and moves up 2 floors, she ends up on the $6^{\text{th }}$ floor.
• Number Line: On a number line, moving from 4 to 6 by adding 2 .
• Example: $(4+2=6)$ 2.Addition of Negative Numbers:
• Rule: Adding two negative numbers results in a negative number.
• Bela's Building: If Bela starts 5 floors below ground level (-5) and moves down 2 more floors, she ends up 7 floors below ground ( -7 ).
• Number Line: Moving from -5 to -7 by adding -2 .
• Example: $((-5)+(-2)=-7)$ 3.Addition of a Positive and a Negative Number:
• Rule: Subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value.
• Bela's Building: If Bela starts on the $6^{\text{th }}$ floor and moves down 5 floors, she ends up 1 floor above ground (1).
• Number Line: Moving from 6 to 1 by adding -5.
• Example: $(6+(-5)=1)$ 4.Subtraction of a Positive Number from a Negative Number:
• Rule: Subtracting a positive number from a negative number is like adding the two numbers and keeping the negative sign.
• Bela's Building: If Bela is 3 floors below ground (-3) and moves down 3 more floors, she ends up 6 floors below ground (-6).
• Number Line: Moving from -3 to -6 by subtracting 3.
• Example: (-3-3 = -6) 5.Subtraction of a Negative Number from a Positive Number:
• Rule: Subtracting a negative number from a positive number is like adding two numbers.
• Bela's Building: If Bela starts on the $4^{\text{th }}$ floor and moves up 2 floors, she ends up on the $6^{\text{th }}$ floor.
• Number Line: Moving from 4 to 6 by subtracting -2.
• Example: $(4-(-2)=6)$ 6.Subtraction of a Negative Number from a Negative Number:
• Rule: Subtracting a negative number from another negative number is like adding the absolute values and keeping the negative sign.
• Bela's Building: If Bela is 7 floors below ground (-7) and moves up 2 floors, she ends up 5 floors below ground ( -1 ).
• Number Line: Moving from -7 to -5 by subtracting -2.
• Example: -7-(-2) = -5

• Give your own examples of each rule. Sol. 1. Addition of Positive Numbers:

• Example: $(9+3=12)$
• Bela's Building: Starting on the $9^{\text{th }}$ floor and moving up 3 floors to the $12^{\text{th }}$ floor. 2.Addition of Negative Numbers:
• Example: $(-7+(-3)=-10)$
• Bela's Building: Starting 7 floors below ground and moving down 3 more floors to 10 floors below ground. 3.Addition of a Positive and a Negative Number:
• Example: $(6+(-3)=3)$
• Bela's Building: Starting on the $8^{\text{th }}$ floor and moving down 6 floors to the $2^{\text{nd }}$ floor. 4.Subtraction of a Positive Number from a Negative Number:
• Example: (-6-3 = -9)
• Bela's Building: Starting 4 floors below ground and moving down 3 more floors to 7 floors below ground. 5.Subtraction of a Negative Number from a Positive Number:
• Example: $(5-(-2)=7)$
• Bela's Building: Starting on the $5^{\text{th }}$ floor and moving up 2 floors to the $7^{\text{th }}$ floor. 6.Subtraction of a Negative Number from a Negative Number:
• Example: $(-5-(-3)=-2)$
• Bela's Building: Starting 5 floors below ground and moving up 3 floors to 2 floors below ground.

5.0Key Features and Benefits Class 6 Maths Chapter 10 The Other Side of Zero : Exercise 10.5

• Detailed NCERT Solutions for each question
• Simple explanations and well laid out explanations if perfect for Grade 6 students
• Visual representations are available in the NCERT Solutions
• Advocacy for them from Allen, McRae and Richards for solid foundational learning.
• Nice addition for their exam practice and without them sophomore in rudimentary level practice.
• Build confidence for students to handle word problems based on integers!