Extra Questions Answers for Class 6 Maths Chapter 10 The Other Side of Zero - Ganita Prakash
Chapter 10 The Other Side of Zero Extra Questions Answers for Class 6 Maths is provided here by studyrankers. All the questions are crafted by our experts by keeping in mind that all the important points must be covered. You can also Download PDF of Class 6 Maths Chapter 10 The Other Side of Zero Extra Questions which will boost the student confidence and help in solving the exercises and questions from the chapter. The chapter is taken from the new NCERT Mathematics textbook, Ganita Prakash.
These Revision Notes for Class 6 Maths will develop you understanding of the chapter and help in gaining good marks in the examinations. We have also provided Chapter 10 The Other Side of Zero NCERT Solutions which will help you in completing your homework on time. These NCERT Solutions will help an individual to increase concentration and you can solve questions of supplementary books easily. Students can also check Revision Notes for The Other Side of Zero Class 6 Maths to prepare for their examination completely.
Important Questions for Chapter 10 The Other Side of Zero Class 6 Maths
Multiple Choice Questions
Question 1. What is the result of (-5) + (+3)?
(a) -8
(b) 2
(c) -2
(d) 8
Answer
(c) -2
Adding -5 and +3 results in -2 because you're moving 3 units to the right from -5.
Question 2. Which of the following represents the correct inverse operation for subtracting -4?
(a) Adding +4
(b) Subtracting +4
(c) Adding -4
(d) None of the above
Answer
(a) Adding +4
Subtracting -4 is the same as adding +4.
Question 3. What is the value of the expression (-6) - (-3)?
(a) -9
(b) -3
(c) -1
(d) -2
Answer
(b) -3
Subtracting -3 from -6 is the same as adding +3, which gives -3.
Question 4. If you move 7 steps to the left from +2 on a number line, where will you end up?
(a) -5
(b) 5
(c) 9
(d) -9
Answer
(a) -5
Moving 7 steps left from +2 lands you at -5.
Question 5. The sum of -7 and -3 is closest to which of the following?
(a) -10
(b) 10
(c) -4
(d) 4
Answer
(a) -10
Adding -7 and -3 results in -10.
Fill in the Blanks
Question 1. The number line extends infinitely in both directions, with positive numbers on the right of 0 and _____ numbers on the left.
Answer
Negative
Negative numbers are those less than zero and are represented to the left of 0 on the number line.
Question 2. The additive inverse of +7 is _____.
Answer
-7
The additive inverse of a number is what you add to it to get zero. For +7, the additive inverse is -7.
Question 3. When you subtract a negative number, it is the same as _____ the corresponding positive number.
Answer
Adding
Subtracting a negative number is equivalent to adding the positive counterpart of that number.
Question 4. Fill up the blanks :
(i) Integer which is neither positive nor negative is ______
(ii) Predecessor of (–99) is _____
(iii) ( -26-14 ) = _____
(iv) Successor of (–100) is _____
(v) Largest 3-digit negative integer is _____
Ans.
(i) 0
(ii) –100
(iii) −26−14= (-40)
(iv) –99
(v) –100
Question 5. On a number line, moving to the left signifies _____, while moving to the right signifies _____.
Answer
Subtraction, Addition
Moving left on the number line decreases the value (subtraction), while moving right increases it (addition).
Question 6. The sum of a number and its inverse is always _____.
Answer
Zero
Adding a number to its additive inverse results in zero.
True/False
Question 1. The number zero is considered neither positive nor negative.
Answer
True
Zero is neutral, lying between positive and negative numbers on the number line.
Question 2. The number -5 is greater than the number -3.
Ans:
False
On the number line, -5 is to the left of -3, making it smaller.
Question 3. Write 'True' or 'False' for the following :
(i) –20° C represent temperature "above 20°C"
(ii) 8 > (–10)
(iii) (– 2 ) = 2
(iv) (– 4 – 2 ) > (–5)
Answer
(i) False
(ii) True
(iii) False
(iv) False
Question 4. Subtracting a positive number is the same as adding its inverse.
Answer
True
Subtracting a positive number reduces the value, equivalent to adding its negative counterpart.
Question 5. If you add two negative numbers, the result is always positive.
Answer
False
Adding two negative numbers gives a negative result.
Question 6. On the number line, -1 is closer to zero than -2.
Answer
True
The number -1 is closer to zero on the number line than -2.
Practical Application Questions
Question 1. Draw a number line and mark the points -3, 0, and +4. Indicate the position you will reach if you move 5 units to the right from -3.
Solution
Step 1: First, let's draw a number line. A number line is like a ruler, but it can go into negative numbers too. Label the numbers from -5 on the left to +5 on the right.
Step 2: Mark the points -3, 0, and +4 on the number line. To do this:
- Start at 0 in the middle.
- Move 3 steps to the left of 0 to reach -3.
- Stay at 0.
- Move 4 steps to the right of 0 to reach +4.
Step 3: Now, if we start at -3 and move 5 steps to the right, let's see where we land:
- Start at -3.
- Move 1 step to the right to reach -2.
- Move another step to reach -1.
- Keep moving right to 0, +1, and finally +2.
- The final position is +2.
When you move 5 steps to the right from -3, you pass through -2, -1, 0, +1, and land on +2. Moving right means you are adding, so -3 + 5 equals +2.
Question 2. Represent the following numbers/expressions on a number line?
(i) –7
(ii) 3+ (-4)
(iii) 4 + 6
(iv) 8 - 5
(v) -7 + 7
Solution
(i) 
(ii) 
(iii) 
(iv) 
(v) 
Question 3. Subtract -8 from +3 using a number line. Show the process and the final result.
Solution
Step 1: Start by drawing a number line and label it from -10 on the left to +10 on the right.
Step 2: Place yourself at +3 on the number line. Now, you need to subtract -8. Subtracting a negative number is like adding its positive counterpart. So instead of moving left, you move to the right.
Step 3: Starting at +3, move 8 steps to the right:
- Move from +3 to +4, +5, +6, +7, +8, +9, +10, and finally +11.
The result is +11.
When you subtract -8 from +3, you’re actually adding 8, because subtracting a negative is like adding the positive version. So +3 - (-8) = +3 + 8 = +11.
Question 4. Observe the number line given above and answer the following:
(i) What is the position of Reeta on the number line?
(ii) What is the position of Seema?
(iii) What is the distance between Reeta and Seema?
Solution
(i) Position of Reeta = –3
(ii) Position of Seema = 5
(iii) The distance between Reeta and Seema is calculated as:
Distance = 5 - (–3) = 5 + 3 = 8
Therefore, the distance between Reeta and Seema is 8 units.
Word problems
Question 1. A lift in a building starts at the 7th floor.
A) The lift moves down 5 floors. What floor does it reach?B) From that floor, the lift moves up 3 floors. Where is the lift now?
C) Finally, the lift moves down 4 floors. What floor does it stop at?
Solution
A) After moving down 5 floors:
7−5=2
The lift is on the 2nd floor.
B) After moving up 3 floors:
2+3=52 + 3 = 5
The lift is now on the 5th floor.
C) After moving down 4 floors:
5−4=15 - 4 = 1
The lift is on the 1st floor.
Question 2. In a bank, the balance of an account is recorded.
A) John has a balance of ₹500 in his account. He withdraws ₹200. What is his new balance?
B) Then, he deposits ₹150 into his account. What is his balance now?
C) After that, he withdraws ₹100. What is his final balance?
Solution
500−200=300
John's new balance is ₹300.
300+150=450
John's balance is now ₹450.
450−100=350
John's final balance is ₹350.
Question 3. A miner is working in a mineshaft where the surface level is represented by 0 meters.
A. The miner starts at -10 meters below the surface and then descends 5 meters further. What is his new depth?
B. After that, the miner ascends 8 meters. What is his new depth now?
C. Finally, the miner descends 3 meters. Where is he now?
Solution
A. After descending 5 meters from -10 meters:
−10−5=−15
The miner is now at -15 meters.
B. After ascending 8 meters:
−15+8=−7
The miner is now at -7 meters.
−7−3 = −10
The miner is now at -10 meters.
Question 4. Subtract (–25) from the sum of 15 and 35.
Solution
75
First, find the sum of 15 and 35:
15 + 35 = 50
Now, subtract (–25) from the sum:
50 - (–25) = 50 + 25 = 75
Question 5. Add the sum of (–2063) and 562 to (–2063).
Solution
–3564
First, find the sum of (–2063) and 562:
(–2063) + 562 = –1501
Now, add this result to (–2063):
(–1501) + (–2063) = –3564
Question 6. Simplify :
(i) (–50) + (–200) – (–500)
(ii) 23 – (–15) + 12
(iii) (24 + 6) ÷ (–3)
(iv) 19 + {10 ÷ (7 – 9)}
(v) 12 – {16 – (6 + 2 – 6 ÷ 3)}
Solution
(i) 250
(–50) + (–200) – (–500)
= (–50) + (–200) + 500
= 250
(ii) 50
23 – (–15) + 12
= 23 + 15 + 12
= 50
(iii) (–10)
(24 + 6) ÷ (–3)
= 30 ÷ (–3)
= –10
(iv) 14
19 + {10 ÷ (7 – 9)}
= 19 + {10 ÷ (–2)}
= 19 + (–5)
= 14
(v) 2
12 – {16 – (6 + 2 – 6 ÷ 3)}
= 12 – {16 – (6 + 2 – 2)}
= 12 – {16 – 6}
= 12 – 10
= 2
Question 7. Write additive inverse of :
(i) (–6347)
(ii) 0
(iii) 4231
(iv) 2132 – 132
(v) –10 – 5
Solution
(i) 6347
(ii) 0
(iii) –4231
(iv) –2000
(v) 15
Question 8. Enter the correct symbol >, =, < in the following :
(i) (–7) ___ (2)
(ii) 7 ___ (–12)
(iii) 0 ___ (–2)
(iv) (–16) ___ (9 + 7)
(v) – (10 + 5) ___ (–15)
Ans
(i) <
(ii) >
(iii) >
(iv) <
(v) =
Question 9. Find the values of 'a' when :
(i) a + 10 = – 18
(ii) a – 3 = 7
(iii) –13a = 91
(iv) a ÷ 5 = 3
Answer
(i) a + 10 = –18
To find 'a', subtract 10 from both sides:
a = –18 – 10
⇒ a = –28
(ii) a – 3 = 7
To find 'a', add 3 to both sides:
a = 7 + 3
⇒ a = 10
(iii) –13a = 91
To find 'a', divide both sides by –13:
a = 91 ÷ (–13)
⇒ a = –7
(iv) a ÷ 5 = 3
To find 'a', multiply both sides by 5:
a = 3 × 5
⇒ a = 15