An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero. Examples of integers are: - 5 , 0 , 1 , 5 , 8 , 97 , and 3 , 043 . A set of integers, which is represented as Z , includes: Positive Integers: An integer is positive if it is greater than zero. Example: 1 , 2 , 3 , . . . Negative Integers: An integer is negative if it is less than zero. Example: - 1 , - 2 , - 3 , . . . Zero is defined as neither negative nor positive integer. It is a whole number. Z = . . . - 7 , - 6 , - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , . . .

If a = − 9 and b = − 6 , show that ( a − b ) ≠ ( b − a ) .

Given a = − 9 and b = − 6 , To show: ( a − b ) ≠ ( b − a ) . Solve the LHS and RHS separately, First, on evaluating LHS, we get: ( a − b ) = − 9 − ( − 6 ) = − 3 Similarly, on evaluating RHS, we get: ( b − a ) = − 6 − ( − 9 ) = 3 As, - 3 ≠ 3 , So, LHS ≠ RHS. Hence, ( a − b ) ≠ ( b − a ) .

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Earn 100

What is integer?

Important Questions on Integers

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Find

36 - (- 64)

and

(- 64) - 36

. Are they equal?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

In a class test $(+ 3)$ marks are given for every correct answer and $(- 2)$ marks are given for every incorrect answer and no marks for not attempting any question. Radhika scored $20$ marks. If she has got $12$ correct answers, how many questions has she attempted incorrectly?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Following number line shows the temperature in degree Celsius $(° C)$ at different places on a particular day. Observe this number line and write the temperature of the places marked on it.

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

The sum of two integers is

- 16

. If one of them is

53

, find the other.

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

The temperature at

12

noon was

10 ° C

above zero. If it decreases at the rate of

2 ° C

per hour until midnight, at what time would the temperature be

8 ° C

below zero? What would be the temperature at mid-night?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Verify

a - (- b) = a + b

for the values

a = 21, b = 18

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

What will be the sign of the product, if we multiply 103 negative integers and 65 positive integers?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Write down a pair of integers whose sum is

- 7

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

An elevator descends into a mine shaft at the rate of

6

m / \min

. If the descent starts from

10

m

above the ground level, how long will it take to reach

- 350 m

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

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?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

a = - 9

and

b = - 6

, show that

(a - b) \neq (b - a)

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

In a quiz, team A scored

- 40, 10, 0

and team B scored

10, 0, - 40

in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Mohan deposits

₹ 2,000

in his bank account and withdraws

₹ 1,642

from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

The sum of two integers is

65

. If one of them is

- 31

, find the other.

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

At Srinagar temperature was

- 5 ° C

on Monday and then it dropped by

2 ° C

on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by

4 ° C

. What was the temperature on this day?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

A water tank has steps inside it. A monkey is sitting on the topmost step (i.e. the first step). The water level is at the ninth step. He jumps $3$ steps down and then jumps back $2$ steps up. In how many jumps will he reach the water level?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Write a pair of negative integers whose difference gives

8

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

Rita goes $20$ $km$ towards east from a point A to the point B. From B, she moves $30$ $km$ towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

A plane is flying at the height of $5000 m$ above the sea level. At a particular point, it is exactly above a submarine floating $1200 m$ below the sea level. What is the vertical distance between them?

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Mathematics>Arithmetic>Integers>Integer and Its Representation on Number Line

The difference of an integer

a a n d (- 6) i s 4

. Find the value of $a$ .

What is integer?

Important Questions on Integers

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