Question 1

Give a positive and a negative integer whose difference is -3

Accepted Answer

Let two integers one negative and other positive whose difference is  -3  be  -1,\ 2. Difference =-1-(2)=-1-2=-3

Question 2

Fill in the blank. (-4)+ ______ =-12 .

Accepted Answer

Let  x  be the unknown  (-4)+ x = -12 x= -12- (-4) x = -12+ 4 x= -8 (-4)+ (-8)=(-12)

Question 3

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were   25, -5, -10, 15  and  10 , what was his total at the end?

Accepted Answer

Scores of jack  = 25, -5, -10, 15, 10 	ext{Total at end }= 25 + (-5) + (-10) + 15 + 10 =25 - 5 - 10 + 15 + 10 =35

Question 4

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.

Q: In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were 25, -5, -10, 15 and 10 , what was his total at the end?

Scores of jack = 25, -5, -10, 15, 10 \text{Total at end }= 25 + (-5) + (-10) + 15 + 10 =25 - 5 - 10 + 15 + 10 =35

Accepted Answer

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. 	herefore  Statement  2  is false.For example:  -3+(-4)=-7

Question 5

If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then.

Accepted Answer

When we add positive integer and negative integer then it is not necessary that result would be negative integer. It can be positive integer alsoFor eg-  (+8)+(-6)=2 . Hence the p statement is false.When we add two negative integers, we will always get negative integer.For eg-  (-7)+(-9)=-16 . Hence q statement is also false

Question 6

Find:  (-13)+32-8-1

Accepted Answer

(-13)+32-8-1=-13+32-8-1=10

Question 7

In a class test containing  10  questions, ' 3 ' marks are awarded for every correct answer and  (-1)  mark is for every incorrect answer and ' 0 ' for questions not attempted.(i) Gopi gets  5  correct and  5  incorrect answers. What is his score?(ii) Reshma gets  7  correct answer and  3  incorrect answers. What is her score?(iii) Reshma gets  3  correct and  4  incorrect answers out of seven questions she attempts. What is her score?

Accepted Answer

i)  Gopi gets  5  correct and  5  incorrect answers      To find his score     Since for every correct answer ' 3  marks are awarded '     For every incorrect answer ' (-1)  marks are awarded '     Total Score     =  5 	imes 3  + 5 	imes (-1)                             =  15  -  5                                =  10   ii)  Reshma gets  7  correct answer and  3  incorrect answers     To find his score     Since for every correct answer ' 3  marks are awarded'     For  Every  Incorrect  Answer   ' (-1)   marks   are   awarded '     Total score       =  7 	imes 3  + 3 	imes (-1)                              =  21  -  3                                 =  18   iii)   Reshma gets  3  correct answer and  4  incorrect answers       To find his score      Since for every correct answer ' 3  marks are awarded '       For every incorrect answer ' (-1)  marks are awarded '       Total score      =  3 	imes 3  + 4  	imes (-1)                               =  9  -  4                                 =  5

Question 8

Find the sum of the first  1000  positive integers.

Accepted Answer

Sum of n positive integers =\cfrac{n(n+1)}{2} For 1000 integers,  n=1000 =\cfrac{1000(1000+1)}{2} =500	imes 1001 =500500

Question 9

State whether true or false:The sum of a negative integer and a positive integer is always a negative integer.

Accepted Answer

The given statement is false.As, take  -2  and  3 , these are one negative and one positive integer.Now their sum is  -2+3 =1 , which is a positive integer.

Question 10

Fill in the blanks :The sum of two negative integers is always a _____ integer.

Accepted Answer

The sum of two negative integers is always a negative integer.

Revise with Concepts

Addition of Integers

Subtraction of Integers

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Quick Summary With Stories

Addition of Integers

Addition of Integers on number line

Subtraction of Integers on Number Line

Important Questions

Give a positive and a negative integer whose difference is -3

Fill in the blank.
$(- 4) +$ ______ $= - 12$ .

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were $25, - 5, - 10, 15$ and $10$ , what was his total at the end?

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.

If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then.

Find: $(- 13) + 32 - 8 - 1$

Find the sum of the first $1000$ positive integers.

State whether true or false:

The sum of a negative integer and a positive integer is always a negative integer.

Fill in the blanks :
The sum of two negative integers is always a _____ integer.

Revise with Concepts

Addition of Integers

Subtraction of Integers

Learn with Videos

Quick Summary With Stories

Addition of Integers

Addition of Integers on number line

Subtraction of Integers on Number Line

Important Questions

Give a positive and a negative integer whose difference is -3

Fill in the blank. (−4)+______=−12.

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were 25,−5,−10,15 and 10, what was his total at the end?

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.

If p: when a positive integer and a negative integer are added we always get a negative integer and q: when two negative integers are added, we get a positive integer, then.

Find: (−13)+32−8−1

Find the sum of the first 1000 positive integers.

State whether true or false: The sum of a negative integer and a positive integer is always a negative integer.

Fill in the blanks : The sum of two negative integers is always a _____ integer.

Fill in the blank.
$(- 4) +$ ______ $= - 12$ .

In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack's scores in five successive rounds were $25, - 5, - 10, 15$ and $10$ , what was his total at the end?

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.

Find: $(- 13) + 32 - 8 - 1$

Find the sum of the first $1000$ positive integers.

State whether true or false:

The sum of a negative integer and a positive integer is always a negative integer.

Fill in the blanks :
The sum of two negative integers is always a _____ integer.