All questions of Negative Numbers and Integers for CTET & State TET Exam

Which of the following statement is false:
  • a)
    -7 +(-6) = -13
  • b)
    -5 + 1 = 4
  • c)
    2 + (-1) = 1
  • d)
    8 + (-9) = -1
Correct answer is option 'B'. Can you explain this answer?

Let's examine each statement to verify its correctness:
  1. Statement: −7+(−6)=−13
    • Solution: Adding two negative numbers, −7+(−6)=−13-7 + (-6) = -13−7+(−6)=−13.
    • Result: This statement is true.
  2. Statement: −5+1=4
    • Solution: Adding −5 and 1 gives −4, not 4.
    • Result: This statement is false.
  3. Statement: 2+(−1)=1
    • Solution: Adding 2 and −1 gives 1.
    • Result: This statement is true.
  4. Statement: 8+(−9)=−1
    • Solution: Adding 888 and −9 gives −1.
    • Result: This statement is true.
Therefore, the false statement is:
2: −5+1=4. The correct result should be −5+1=−4.

Can you explain the answer of this question below:

Farther a number from zero on the right, _________ is its value.

  • A:

    equal

  • B:

    larger

  • C:

    smaller

  • D:

    None of these

The answer is b.

Akash Tiwari answered
On the right side of zero lies the positive numbers. 
Therefore, farther a number from zero on the right, larger is its value.

Write the number with appropriate signs: 150 m below sea level.
  • a)
    -150
  • b)
    150
  • c)
    200
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Sea level is considered as 0, thus any number below 0 will be a negative number. 
Therfore the appropriate sign for 150 m below the sea level is -150.

Subtract (-7) from (-12):
  • a)
    5
  • b)
    -19
  • c)
    -5
  • d)
    19
Correct answer is option 'C'. Can you explain this answer?

Dr Manju Sen answered
Answer: C
Solution:
To calculate (−12)−(−7): 
(−12)−(−7) = (−12)+7 = − 5
Correct Answer: (C) - 5

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?

Dr Manju Sen answered
To find the predecessor of a number we move from right to the left on the number line
And , −17 lies on left side of −16
Hence, −17 is the predecessor of −16
Option (B) is the correct answer

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

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?

Understanding Additive Inverse
The additive inverse of a number is what you add to that number to get zero. For any integer 'x', the additive inverse is '-x'.
Negative Integer Example
Consider a negative integer, for example, -5. The additive inverse of -5 is calculated as follows:
- Additive Inverse = -(-5) = 5
Thus, the additive inverse of a negative integer is always a positive integer.
Explanation of Options
Let's analyze the given options:
- a) Is always negative
- This is incorrect because the additive inverse of a negative integer is positive.
- b) Is always positive
- This is the correct answer. The additive inverse of any negative integer results in a positive integer.
- c) Is the same integer
- This option is incorrect. The additive inverse changes the sign, so it cannot be the same integer.
- d) Zero
- This is also incorrect. The additive inverse of a negative integer is not zero but a positive integer.
Conclusion
In conclusion, the additive inverse of a negative integer is always positive. This means that if you have a negative number and you take its additive inverse, you will always end up with a positive number, ensuring the sum equals zero when added together.

Which of the following is correct?
  • a)
    - 1 < 0
  • b)
    1 < 0
  • c)
    - 8 > - 7
  • d)
    - 2 > 4
Correct answer is option 'A'. Can you explain this answer?

Praveen Kumar answered
  • -1 is less than 0 because on the number line, -1 is to the left of 0.
  • 1 is greater than 0, so the statement "1 < 0"="" is="" />
  • -8 is less than -7, making "-8 > -7" false.
  • -2 is less than 4, so "-2 > 4" is also incorrect.
  • Therefore, the only true statement is "-1 < />

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?

Indu Gupta answered
Option A is right 
If a number side to be an even number is must be divisible by 22. Therefore the even number between 5858 and 8080 are
60, 62, 64, 66, 68, 70, 72, 74, 76, 78.
So, there are 1010 even numbers between 58 and 80

Find the sum of 137 and – 354
  • a)
    217
  • b)
    -217
  • c)
    207
  • d)
    -207
Correct answer is option 'B'. Can you explain this answer?

Arjun Yadav answered
Understanding the Problem
To find the sum of 137 and -354, we need to perform the addition of a positive and a negative number.
Step-by-Step Calculation
1. Identify the Numbers:
- The first number is 137 (positive).
- The second number is -354 (negative).
2. Perform the Addition:
- When adding a positive number and a negative number, we effectively subtract the absolute value of the negative number from the positive number.
- Here, we can rewrite the sum as:
137 + (-354) = 137 - 354
3. Calculate the Difference:
- Now, we subtract 354 from 137.
- Since 354 is larger than 137, the result will be negative.
- Performing the subtraction:
354 - 137 = 217
4. Determine the Sign:
- Since we are subtracting a larger number from a smaller one, we place a negative sign in front of the result:
Thus, 137 - 354 = -217.
Final Result
The sum of 137 and -354 is -217.
Conclusion
The correct answer is option 'B', which is -217. This negative result indicates that the overall value is below zero, aligning with our calculation process.

Which of the following is correct?
  • a)
    -1 < 0
  • b)
    1 < 0
  • c)
    -8 > -7
  • d)
    -2 > 4
Correct answer is option 'A'. Can you explain this answer?

Akshita Reddy answered
Understanding Inequalities
Inequalities are statements that compare two values or expressions. The symbols used in inequalities are:
- "<" means="" "less="" than."="">
- ">" means "greater than."
Let's analyze each option provided:
Option A: -1 < />
- This statement is true.
- In the number line, -1 is to the left of 0, indicating that -1 is indeed less than 0.
Option B: 1 < />
- This statement is false.
- In the number line, 1 is to the right of 0, meaning that 1 is greater than 0.
Option C: -8 > -7
- This statement is false.
- On the number line, -8 is to the left of -7, which means -8 is less than -7.
Option D: -2 > 4
- This statement is false.
- Again, on the number line, -2 is to the right of 4, indicating that -2 is greater than 4. However, in absolute terms, -2 is less than 4.
Conclusion
The only correct option is A: -1 < 0.="" understanding="" the="" number="" line="" and="" the="" values="" associated="" with="" positive="" and="" negative="" numbers="" is="" crucial="" in="" solving="" inequalities.="" always="" remember="" that="" negative="" numbers="" are="" less="" than="" positive="" numbers!="" 0.="" understanding="" the="" number="" line="" and="" the="" values="" associated="" with="" positive="" and="" negative="" numbers="" is="" crucial="" in="" solving="" inequalities.="" always="" remember="" that="" negative="" numbers="" are="" less="" than="" positive="" />

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

Understanding the Expression
To solve the expression 9 - (-6), we need to carefully evaluate the subtraction of a negative number.
Step-by-Step Calculation
- Identify the Operation: The expression involves subtracting a negative number.
- Rule of Subtracting Negatives: When you subtract a negative number, it is equivalent to adding the positive version of that number.
- Rewrite the Expression: Thus, we can rewrite the expression 9 - (-6) as 9 + 6.
Performing the Addition
- Calculate the Sum:
- 9 + 6 = 15
Conclusion
- The final result of the expression 9 - (-6) is 15.
- Therefore, the correct answer is option 'C', which is 15.
This logical breakdown helps us understand why the answer is 15, making it clear that subtracting a negative number effectively increases the total.

Find: 45−(−15)
  • a)
    60
  • b)
    30
  • c)
    -30
  • d)
    -60
Correct answer is option 'A'. Can you explain this answer?

Answer: A
Solution:
To calculate 45−(−15) apply the rule of subtraction:
45−(−15) = 45 + 15 = 60
Correct Answer: (A) 60

What integers or number should be added to 5 to get 14?
  • a)
    1
  • b)
    -1
  • c)
    -9
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?

Harshad Datta answered
Understanding the Problem
To find out what integer should be added to 5 to achieve a total of 14, we can set up the equation:
5 + x = 14
Where 'x' represents the number we need to find.
Solving the Equation
To isolate 'x', we can subtract 5 from both sides of the equation:
x = 14 - 5
This simplifies to:
x = 9
Now we have determined that the value of 'x' is 9.
Verifying the Solution
Let's verify our solution:
- If we add 5 and 9 together:
5 + 9 = 14
This confirms that our calculation is correct.
Evaluating the Options
Now, let's evaluate the given options:
- a) 1: 5 + 1 = 6 (not correct)
- b) -1: 5 + (-1) = 4 (not correct)
- c) -9: 5 + (-9) = -4 (not correct)
- d) 9: 5 + 9 = 14 (correct)
Conclusion
Therefore, the integer that should be added to 5 to get 14 is indeed option 'D': 9. This solution not only aligns with our calculations but also matches the options provided.

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?

Vp Classes answered
If the magnitude of positive number is greater than the negative number then there will be some positive remainder after adding the negative number.Hence,it will be the sign of a large number.

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.

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

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.

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.

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.

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

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.

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.

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 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

When the integers 10, 0, 4, 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)
    4
  • d)
    0
Correct answer is option 'A'. Can you explain this answer?

EduRev CAT answered
We are given the integers 10, 0, 4, 5, 7. We need to arrange them in both ascending order (smallest to largest) and descending order (largest to smallest). Then we must check which integer always comes in the middle.
Step 1: Arrange in ascending order
Ascending means from the smallest to the greatest: 0, 4, 5, 7, 10.
Here, the middle number is the third one (since there are 5 numbers). So, the middle is 5.
Step 2: Arrange in descending order
Descending means from the greatest to the smallest: 10, 7, 5, 4, 0.
Here again, the middle number is the third one. So, the middle is still 5.
Step 3: Compare both
Middle in ascending order = 5.
Middle in descending order = 5.
So, 5 always remains in the middle, no matter how we arrange.
Final Answer: The integer that always stays in the middle is a) 5

Chapter doubts & questions for Negative Numbers and Integers - Mathematics & Pedagogy Paper 2 for CTET & TET Exams 2025 is part of CTET & State TET exam preparation. The chapters have been prepared according to the CTET & State TET exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for CTET & State TET 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Negative Numbers and Integers - Mathematics & Pedagogy Paper 2 for CTET & TET Exams in English & Hindi are available as part of CTET & State TET exam. Download more important topics, notes, lectures and mock test series for CTET & State TET Exam by signing up for free.

Top Courses CTET & State TET