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All questions of The Other Side of Zero for Class 6 Exam

What is the result of subtracting 8 from 6?
  • a)
    -2
  • b)
    +2
  • c)
    +10
  • d)
    -10
Correct answer is option 'A'. Can you explain this answer?

To subtract +8 from +6, we perform the operation:
6 − 8 = - 2
So, the result is - 2.
The correct answer is A: - 2.

On a vertical number line, where are the positive numbers placed?
  • a)
    To the right of 0.
  • b)
    To the left of 0.
  • c)
    Above 0.
  • d)
    Below zero.
Correct answer is option 'C'. Can you explain this answer?

Kunal Mehta answered
On a vertical number line, positive numbers are located above zero. As we look upward on a vertical number line, the values of the numbers increase. On a vertical number line, negative numbers are located above zero.

The predecessor of −16 is
  • a)
    −15
  • b)
    −17
  • c)
    15
  • d)
    17
Correct answer is option 'B'. Can you explain this answer?

Sanskriti Bose answered
Understanding Predecessors
The predecessor of a number is defined as the number that comes immediately before it in the number line. To find the predecessor of a given number, you simply subtract 1 from that number.
Finding the Predecessor of -16
Let's apply this concept:
- The number in question is -16.
- To find its predecessor, we perform the calculation:
-16 - 1 = -17.
Options Analysis
Now, let's evaluate the options provided:
- a) -15 (This is greater than -16, so it cannot be the predecessor.)
- b) -17 (This matches our calculation, as -17 is indeed the predecessor of -16.)
- c) -17 (This is a repeat of option b, which is still correct.)
- d) 15 (This is far greater than -16 and cannot be a predecessor.)
- e) 17 (This is also greater than -16 and not a predecessor.)
Conclusion
Based on the calculation and analysis of the options, the correct answer is option 'B', which is -17.
This confirms that the predecessor of -16 is -17, making option 'B' the most accurate answer.

On the number line, what is the distance between -7 and +3?
  • a)
    10 units
  • b)
    4 units
  • c)
    7 units
  • d)
    9 units
Correct answer is option 'A'. Can you explain this answer?

Arjun Yadav answered
Understanding Distance on the Number Line
To find the distance between two points on a number line, follow these steps:
1. Identify the Points
We have two points: -7 and +3.
2. Use the Distance Formula
The distance between two points \( a \) and \( b \) on a number line is calculated using the formula:
Distance = |a - b|
3. Calculate the Distance
Here, we'll calculate the distance between -7 and +3:
Distance = |-7 - 3|
Distance = |-10|
Distance = 10 units
Visualizing the Calculation
- Starting from -7, if you move towards the right to reach 0, that is 7 units.
- Then, moving from 0 to +3 is an additional 3 units.
Thus, the total distance from -7 to +3 is:
7 units (to reach 0) + 3 units (to reach +3) = 10 units.
Conclusion
The correct answer is indeed option 'A', which states that the distance between -7 and +3 is 10 units. This method can be applied to find the distance between any two points on the number line.

Number of even numbers between 58 and 80 is 
  • a)
    10
  • b)
    11
  • c)
    12
  • d)
    13
Correct answer is option 'A'. Can you explain this answer?

Neha Mehta answered
Understanding the Range
To find the even numbers between 58 and 80, we first identify the range. The numbers we are considering are from 59 to 79, since we are looking for numbers between 58 and 80 (excluding 58 and 80).
Identifying Even Numbers
Even numbers are those that can be divided by 2 without leaving a remainder. The even numbers between 59 and 79 can be listed as follows:
- 60
- 62
- 64
- 66
- 68
- 70
- 72
- 74
- 76
- 78
Counting the Even Numbers
Now, let's count the even numbers identified in the previous step:
- 60
- 62
- 64
- 66
- 68
- 70
- 72
- 74
- 76
- 78
There are a total of 10 even numbers in this range.
Conclusion
Thus, the number of even numbers between 58 and 80 is 10. The correct answer is option A.

Addition of one negative and one positive integer is
  • a)
    always positive
  • b)
    always negative
  • c)
    same as the sign of larger number
  • d)
    same as the sign of smaller number
Correct answer is option 'C'. Can you explain this answer?

Maitri Bajaj answered
Understanding Addition of Negative and Positive Integers
When we add one negative integer and one positive integer, the result depends on their absolute values and the signs involved. Here’s a detailed breakdown:
1. Definitions
- Positive Integer: A number greater than zero (e.g., 5, 10).
- Negative Integer: A number less than zero (e.g., -3, -8).
2. The Process of Addition
- Adding a positive integer means you are moving to the right on the number line.
- Adding a negative integer means you are moving to the left on the number line.
3. Comparing Absolute Values
- When a negative integer is added to a positive integer, the result can be found by comparing their absolute values.
- For example, if we have 4 (positive) and -3 (negative):
- The absolute value of 4 is 4.
- The absolute value of -3 is 3.
- Since 4 > 3, the result (4 + (-3)) will be positive and equal to 1.
4. Sign of the Result
- If the positive integer's absolute value is greater than that of the negative integer, the result is positive.
- If the negative integer's absolute value is greater, the result is negative.
- If both are equal, the result is zero.
5. Conclusion
- Thus, the correct answer is option 'C': the sign of the result is the same as the sign of the larger number (in absolute value). This means the final sum will reflect the dominance of either the positive or negative integer depending on their values.

Calculate:
 9 − (−6)
  • a)
    3
  • b)
    −3
  • c)
    15
  • d)
    −15
Correct answer is option 'C'. Can you explain this answer?

Given that 
We have to find the  value of given expression
9 − (−6)
we know that (−) × (−) = +
9 + 6
= 15
So option C is correct

Which of the following statements is CORRECT?
Statement 1: When a positive integer and a negative integer are added, we always get a negative integer.
Statement 2: When two negative integers are added, we get a positive integer.
  • a)
    Only Statement 1
  • b)
    Only Statement 2
  • c)
    Both Statement 1 and Statement 2
  • d)
    Neither Statement 1 nor Statement 2
Correct answer is option 'D'. Can you explain this answer?

Praveen Kumar answered
When a positive integer and a negative integer are added, we can get a positive or negative integer.
Therefore, statement 1 is false.
Fro example: −4 + 3 = −1 or 4 + (−3) = 1
And when two negative integers are added, we get a negative integer.
∴ Statement 2 is false.
For example: −3 + (−4) = −7

Which of the following represents a negative integer?
  • a)
    -2
  • b)
    3
  • c)
    0
  • d)
    +5
Correct answer is option 'A'. Can you explain this answer?

Alok Chavan answered
Understanding Negative Integers
Negative integers are whole numbers that are less than zero. They are represented on the number line to the left of zero.
Identifying the Options
Let's analyze each option provided in the question:
  • -2: This is a negative integer because it is less than zero.
  • 3: This is a positive integer as it is greater than zero.
  • 0: This is neither negative nor positive; it is considered neutral.
  • +5: This is also a positive integer as it is greater than zero.

Conclusion
From the analysis, the only number that qualifies as a negative integer is -2. Thus, the correct answer is option A.
Understanding negative integers is essential as they play a significant role in various mathematical concepts, including temperature readings, financial transactions (like debts), and more. Recognizing the distinction between positive and negative integers helps in performing arithmetic operations accurately.

You deposit ₹50 into your bank account, then withdraw ₹70. What is your new balance if you started with ₹0?
  • a)
    ₹-20
  • b)
    ₹70
  • c)
    ₹50
  • d)
    ₹-50
Correct answer is option 'A'. Can you explain this answer?

Rutuja Bose answered
Understanding the Bank Transaction
To find your new balance after making a deposit and a withdrawal, we can break down the transactions step by step.
Initial Balance
- You start with ₹0 in your bank account.
Deposit Amount
- You deposit ₹50 into your account.
- New balance after the deposit:
- ₹0 + ₹50 = ₹50

Withdrawal Amount
- You then withdraw ₹70 from your account.
- New balance after the withdrawal:
- ₹50 - ₹70 = ₹-20

Final Balance
- After completing both transactions:
- Your balance is now ₹-20.
This means you are in a negative balance of ₹20, indicating that you owe the bank ₹20. Hence, the correct answer is option 'A', which states your balance is ₹-20.
Understanding how to manage deposits and withdrawals is essential for keeping track of your finances!

When the integers 10, 0, 5, 5, 7 are arranged in descending or ascending order, them find out which of the following integers always remains in the middle of the arrangement.
  • a)
    5
  • b)
    7
  • c)
    -7
  • d)
    0
Correct answer is option 'A'. Can you explain this answer?

Subset Academy answered
The given integers are 10, 0, 5, 5, 7.
Descending order: 10, 7, 5, 5, 0
Ascending order: 0, 5, 5, 7, 10
In both arrangements, the middle integer is 5.
Therefore, the integer that always remains in the middle of the arrangement is 5.

Answer the following using number line.
The integer which is 7 more than −4 is 
  • a)
    −7
  • b)
    −3
  • c)
    3
  • d)
    7
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
Starting from −4, move 7 unit right. So, from the above figure, we can conclude that integer 3 is 7 more than −4.

Which of the following option is not true with respect to given number line?
  • a)
    B is greater than −10
  • b)
    A is greater than 0
  • c)
    A is greater than B
  • d)
    B is greater than 0
Correct answer is option 'D'. Can you explain this answer?

We have,
A = 8 and B = −4
The numbers on the number line increase on moving from left to right on the number line. The point B is left to the number 0, so B is less than 0.
A. − 4 > −10 ⇒ B > −10  True
B is right to −10. So, B is greater.
B. 8 > 0 ⇒ A > 0 True
A is right to 0. So, A is greater.
C. A > −4 ⇒ A > B  True
A is right to B. So, A is greater.
D. As − 4 < 0 ⇒ B < 0. So, B > 0 is false. 
0 is right to B. So, 0 is greater.

Compare: 1,00,002 ___ 10,00,002
  • a)
    >
  • b)
    <
  • c)
    =
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
If we write the given numbers in words well be easily able to solve this.
One lakh two and the second number is ten lakh two.
Obviously the second number is greater then the first.
So option B is the correct answer.

Evaluate:
(+5) + (−6) = ?
  • a)
    −1
  • b)
    1
  • c)
    2
  • d)
    −2
Correct answer is option 'A'. Can you explain this answer?

Write given integers in addition expression and we get: 
(+5) + (−6)
Subtract smaller integer 5 from bigger integer 6 as follows:
6 − 5 = 1
Since, the bigger integer −6 is a negative integer, so the result should also be negative that is −1
Hence, +5 − 6 = −1

On the number line, the integer 5 is located _______.
  • a)
    to the left of 0
  • b)
    to the right of 0
  • c)
    to the left of 1
  • d)
    to the left of −2
Correct answer is option 'B'. Can you explain this answer?

Coachify answered
The number line represents all the real numbers. The positive numbers are on the right of 0 and the negative numbers are on the left of 0, as shown in the above figure.
Since 5 is a positive number, it lies to the right of 0.
Hence, on the number line, the integer 5 is located to the right of 0.

What should be added to 18 to get −34?
  • a)
    52
  • b)
    −52
  • c)
    −16
  • d)
    16
Correct answer is option 'B'. Can you explain this answer?

Coachify answered
Let the number be x.
Then according to the problem we get,
x + 18 = −34
or x = −34 − 18
or x = −52.

The smallest positive integer is
  • a)
    0
  • b)
    10
  • c)
    1
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
The smallest positive integer is 1. Positive integers are the numbers greater than 0, and the smallest of these is 1.
Thus, the smallest positive integer is 1Thus, the smallest positive integer is 1

The coordinate of 3rd alphabet on left of C is
  • a)
    −3
  • b)
    3
  • c)
    0
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?

Gunjan Lakhani answered
3rd alphabet to the left of C is O.
O lies on 0 on number line. Hence, its coordinate is 0.

Which integer is the additive inverse of itself?
  • a)
    −1
  • b)
    1
  • c)
    0
  • d)
    2
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
Additive inverse of number is that when added to a number it results in 0
Additive inverse of itself = a + 0 = 0
Therefore a = 0
Hence the correct answer is option C.

The additive inverse of a negative integer
  • a)
    is always negative
  • b)
    is always positive
  • c)
    is the same integer
  • d)
    zero
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
Let −a be the negative integer.
Thus its additive inverse becomes −(−a) which is equal to a.
Hence additive inverse of a negative integer is always positive.
Option B is right.

By observing the above number line, state which of the following statements is true.
  • a)
    B is 2
  • b)
    A is 4
  • c)
    B is –13
  • d)
    B is −4
Correct answer is option 'D'. Can you explain this answer?

Praveen Kumar answered
From above number line we cans see that A is 7 marks right of 0 and B is 4 marks to the left of 0
So, A = 7 and B = −4
Hence, Option (D) is correct

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