Maharashtra Board Class 6 Maths Chapter 3 Integers Set 5 Solutions

Question 1. Add:
1. 8 + 6
2. 9 + (-3)
3. 5 + (-6)
4. -7 + 2
5. -8 + 0
6. -5 + (-2)
Answer:
1. 8 + 6 = (+8) + (+6) = +14
2. 9 + (-3) = (+9) + (-3) = +6
3. 5 + (-6) = (+5) + (-6) = -1
4. -7 + 2 = (-7) + (+2) = -5
5. -8 + 0 = (-8) + 0 = -8
6. -5 + (-2) = (-5) + (-2) = -7
In simple words: To add integers, consider their signs. If signs are the same, add the numbers and keep the sign. If signs are different, subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.

🎯 Exam Tip: Pay close attention to the signs of integers when adding. A common mistake is misapplying the rules for positive and negative numbers.

Question 2. Complete the table given below:

Answer:

In simple words: This table demonstrates addition of integers. Each cell represents the sum of the integer from the leftmost column and the integer from the topmost row, following the rules of integer addition.

🎯 Exam Tip: When filling addition tables, be methodical. For each cell, correctly apply the integer addition rules to the corresponding row and column headers. Double-check your calculations, especially with negative numbers.

Maharashtra Board Class 6 Maths Chapter 3 Integers Practice Set 5 Intext Questions And Activities
 

Question 1. On the playground, mark a timeline showing the years from 2000 to 2024. With one child standing at the position of the 2017, ask the following questions: (Textbook pg. no. 15)
1. While playing this game, what is his/her age?
2. Five years ago, which year was it? And what was his / her age then?
3. In which year will he / she go to Std X? How old will he / she be then?
The child should find answers to such questions by walking the right number of units and in the right direction on the timeline. [Assume child born year is 2009]
Answer:
Solutions:
1. Age of child is 8 years.
2. Five years ago, year was 2012. His/her age is 3 years.
3. In 2024, he/she will go the Std X. His/her age is 15 years.
In simple words: By using a timeline and a child's birth year, we can calculate age for different years by counting forward or backward on the timeline.

🎯 Exam Tip: Timeline-based questions test your understanding of relative time and basic subtraction/addition. Ensure calculations for age and year are consistent.

Question 2. On a playground mark a timeline of 100 years. This will make it possible to count the years from 0 to 2100 on it. Important historical events can then be shown in proper centuries. (Textbook pg. no. 16)
Answer:
Solution:
(Students should attempt this activity on their own)
In simple words: This activity involves creating a large-scale timeline to visually represent historical periods and events across centuries.

🎯 Exam Tip: For practical activities, clearly understanding the objective and scale is key. A well-constructed timeline should clearly show years and events.

Question 3. Observe the figures and write appropriate number in the boxes given below. (Textbook pg. no. 16 and 17)
i.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक संख्या रेखा है जिस पर -1 से +7 तक पूर्णांक दर्शाए गए हैं। एक खरगोश +1 पर खड़ा है और फिर दाईं ओर 5 इकाइयाँ कूदता है, जो उसे +6 पर ले जाता है।
a. At first the rabbit was at the number ____
b. It hopped ____ units to the right.
c. It is now at the number ____
Answer:
Solution:
i.
a. +1
b. 5
c. +6
ii.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक संख्या रेखा है जिस पर -4 से +4 तक पूर्णांक दर्शाए गए हैं। एक खरगोश -2 पर खड़ा है और फिर दाईं ओर 5 इकाइयाँ कूदता है, जो उसे +3 पर ले जाता है।
a. At first the rabbit was at the number ____
b. It hopped ____ units to the right.
c. It is now at the number ____
Solution:
ii.
a. -2
b. 5
c. +3
iii.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक संख्या रेखा है जिस पर -9 से 0 तक पूर्णांक दर्शाए गए हैं। एक खरगोश -3 पर खड़ा है और फिर बाईं ओर 4 इकाइयाँ कूदता है, जो उसे -7 पर ले जाता है।
a. At first the rabbit was at the number ____
b. It hopped ____ units to the left.
c. It is now at the number ____
Solution:
iii.
a. -3
b. 4
c. -7
iv.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह एक संख्या रेखा है जिस पर -3 से +5 तक पूर्णांक दर्शाए गए हैं। एक खरगोश +3 पर खड़ा है और फिर बाईं ओर 4 इकाइयाँ कूदता है, जो उसे -1 पर ले जाता है।
a. At first the rabbit was at the number ____
b. It hopped____units to the left.
c. It is now at the number ____
Solution:
iv.
a. +3
b. 4
c. -1
In simple words: These exercises involve interpreting movement on a number line. Moving right represents addition, and moving left represents subtraction. The starting position, number of units hopped, and direction determine the final position.

🎯 Exam Tip: Clearly identify the starting point, the direction (right for positive, left for negative), and the number of units moved. This visually reinforces integer addition and subtraction.