NCERT Exemplar Solutions - Mathematics - class 7 solutions for Chapter 1 Integers

An atom changes to a charged particle called ion if it loses or gains electrons. The charge on an ion is the charge on electrons plus charge on protons. Now, write the missing information in the table given below:

Name of Ion	Proton Charge	Electron Charge	Ion Charge
Oxide ion	+8	-10

If we multiply five positive integers and one negative integer, then the resulting integer is _____.

____ is the multiplicative identity for integers.

By observing the above number line, state which of the following statements is true.

When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, then find out which of the following integers always remains in the middle of the arrangement.

By observing the number line, state which of the following statements is not true.

The water level in a well was 20 m below ground level. During the rainy season, rainwater collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is _____________.

(– 9) × 20 = _____

On the number line, the value of (–3 ) x 3 lies on right hand side of __________.

State whether the following statement is true or false.

a – b = b – a

State whether the following statement is true or false.

[[(–32) ÷ 8]] ÷ 2 = -32 ÷ [[ 8÷ 2] ]

7×3=___=28–7

– 5 × 2 = _______ =–15 – (–5)

7 × 2 = 14 = _______– 7

–5×2= _______ =–15 – (–5)

7×1=7=___–7

7 x (–3) = - 21 = ___ - 7

7 × 0 = _______ = 7 - 7

7 x –2= _____ = -7–7

–5×–1=5=___

7 × – 1 = –7 = _______

Science Application Question:

An atom consists of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge of –1.

What will be the charge on an atom if it gains an electron?

Remember the number of electrons is equal to the number of protons..

–5×0=0=___

Science Application Question:

An atom consists of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge of –1.

What will be the charge on an atom if it loses an electron?

Remember the number of electrons is equal to the number of protons.

Which of the following is the pair of integers whose product is –12?

An atom changes to a charged particle called ion if it loses or gains electrons. The charge on an ion is the charge on electrons plus charge on protons. Now, write the missing information in the table given below:

Name of Ion	Proton Charge	Electron Charge	Ion Charge
Hydroxide ion	+9		-1

Which of the following are three consecutive numbers that form a pattern?

An atom changes to a charged particle called ion if it loses or gains electrons. The charge on an ion is the charge on electrons plus charge on protons. Now, write the missing information in the table given below:

Name of Ion	Proton Charge	Electron Charge	Ion Charge
Aluminium ion	+13	-10

State whether the following statement is TRUE or FALSE:

The product of -7 and 1 lies between -19 and 6.

An atom changes to a charged particle called ion if it loses or gains electrons. The charge on an ion is the charge on electrons plus charge on protons. Now, write the missing information in the table given below:

Name of Ion	Proton Charge	Electron Charge	Ion Charge
Sodium ion	+11		+1

Social Studies Application:

In chronology, 1 AD came immediately after 1 BC. While solving the given problems take 1 BC as –1 and 1 AD as +1.

Turks ruled Egypt in the year 1517 AD and Queen Nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she rule?

Social Studies Application:

In chronology, 1 AD came immediately after 1 BC. While solving the given problems take 1 BC as –1 and 1 AD as +1.

The Greco-Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did this era last?

Social Studies Application:

In chronology, 1 AD came immediately after 1 BC. While solving the given problems take 1 BC as –1 and 1 AD as +1.

Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD. What was his age when he died?

Social Studies Application:

In chronology, 1 AD came immediately after 1 BC. While solving the given problems take 1 BC as –1 and 1 AD as +1.

Greek mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

The table shows the lowest recorded temperatures for each continent. Arrange the continents in order from the lowest recorded temperature to the highest recorded temperature.

And select the correct option.

Continent	Temperature (in Fahrenheit)
Africa	-11°
Antarctica	–129°
Asia	–90°
Australia	– 9°
Europe	–67°
North America	– 81°
South America	–27°

State whether the following statement is TRUE or FALSE:

The product of 8 and -1 lies between -19 and 6.

State whether the following statement is TRUE or FALSE:

The product of -5 and 3 lies between -19 and 6.

Science Application Question:

An atom consists of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge of –1. What is the charge on an atom containing one proton and one electron?

Remember the number of electrons is equal to the number of protons.

State whether the following statement is TRUE or FALSE:

The product of 6 and -2 lies between -19 and 6.

– 5 × 1 = _______ = - 10 - (- 5)

Which of the following are two integers such that one is smaller than -11 and the other is greater than - 11, but their difference is -11?

Which of the following form a pair of integers whose product is – 36 and the difference is 15?

State whether the following statement is TRUE or FALSE:

1 is a multiplicative identity.

What is a x 1 ?

State whether the following statement is TRUE or FALSE:

(-a) ÷ b = a ÷ (-b)

State whether the following statement is TRUE or FALSE:

(-a) ÷ (-b) = a ÷ b

What is a x (-1)=?

a x 0 = ?

Which of the following is a positive and a negative integer whose difference is a negative integer?

State whether the following statement is TRUE or FALSE:

0 is multiplicative identity.

What is a ÷ (-a) ?

Which of the following is a positive and a negative integer whose sum is a positive integer?

Which of the following are two integers that are smaller than – 6 but their difference is greater than – 6?

Which of the following are two integers that are greater than – 10 but their sum is smaller than – 10?

The table given below shows the elevations relative to sea level of four locations. Taking sea level as zero, answer the following question,

Location	Elevation (in m)
A	-180
B	1600
C	-55
D	3200

Which location is farthest from sea level?

You have Rs. 500 in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is left in your account after these transactions?

Cheque No.	Date	Transaction Description	Payment	Deposit
384102 275146	4/9 12/9	Jal Board Deposit	Rs. 120	Rs. 200
384103 801351	22/9 29/9	LIC India Deposit	Rs. 240	Rs. 150

Which of the following is a positive and a negative integer whose sum is a negative integer?

Which are two negative integers whose difference is 7?

Which of the following are two integers whose product is smaller than both the integers?

Which of the following are two integers whose product is greater than both the integers?

Ramu evaluated the expression –7 – (–3) and came up with the answer -10.

What is the error made by Ramu?

Reeta evaluated the expression –4 + d for the value of d = –6 and gave an answer of 2.

What is the error made by Reeta?

The table given below shows the elevations relative to sea level of four locations. Taking sea level as zero, answer the following question,

Location	Elevation (in m)
A	-180
B	1600
C	-55
D	3200

Which location is closest to sea level?

Which of the following is a positive and a negative integer whose difference is a positive integer?

You are at an elevation 380 m above sea level as you start a motor ride. During the ride, your elevation changes by the following meters: 540 m, – 268 m, 116 m, –152 m, 490 m, –844 m, 94 m. What is your elevation relative to the sea level at the end of the ride ?

If * is an operation such that for integers a and b we have $a*b=a\times b+(a\times a+b\times b)$ then find $(-3)*(-5)$

Evaluate –39 x 99 ,using distributive property.

Evaluate 68 x ( –17)+ ( –68) x 3 ,using distributive property.

Below u, v, w and x represent different integers, where u = –4 and x≠ 1. By using following equations,

u × v = u

x × w = w

u + x = w

What is the value of w?

Sana and Fatima participated in an apple race. The race was conducted in 6 parts. In the first part, Sana won by 10 seconds. In the second part, she lost by 1 minute, then won by 20 seconds in the third part and lost by 25 seconds in the fourth part, she lost by 37 seconds in the fifth part and won by 12 seconds in the last part. Who won the race finally?

If * is an operation such that for integers a and b we have $a*b=a\times b+(a\times a+b\times b)$ then find $(-6)*2$

If ▲ is an operation such that for integers a and b we have $a\Delta b=a\times b-2\times a\times b+b\times b(-a)\times b+b\times b$ then find $4\Delta(-3)$

A multistory building has 25 floors above the ground level each of height 5 m. It also has 3 floors in the basement each of height 5m. A lift in the building moves at a rate of 1m/s. If a man starts from 50 m above the ground, how long will it take him to reach at 2^nd floor of the basement?

A green grocer had a profit of Rs. 47 on Monday, a loss of Rs. 12 on Tuesday and loss of Rs. 8 on Wednesday. What is net profit or loss in 3 days?

Convert the following from fahrenheit to celsius using $C=\frac{5}{9}\left(F-32\right)$

Gas	Freezing Point at Sea Level (°F)	Freezing Point at Sea Level (°C)
Helium	-458

Convert the following from fahrenheit to celsius using $C=\frac{5}{9}\left(F-32\right)$

Gas	Freezing Point at Sea Level (°F)	Freezing Point at Sea Level (°C)
Oxygen	-369

In a test, +3 marks are given for every correct answer and –1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks though she got 10 correct answers. How many incorrect answers has she attempted?

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and –2 for every incorrect answer and 0 for not supplying any answer. If Yash secured 94 marks in a test, what are the possibilities of his marking correct or wrong answer?

In a test, +3 marks are given for every correct answer and –1 mark are given for every incorrect answer. Sona attempted all the questions and scored +20 marks though she got 10 correct answers. How many questions were given in the test?

The table given below shows the elevations relative to sea level of four locations. Taking sea level as zero, answer the following question,

Location	Elevation (in m)
A	-180
B	1600
C	-55
D	3200

Arrange the locations from the least to the greatest elevation

If ▲ is an operation such that for integers a and b we have $a\Delta b=a\times b-2\times a\times b+b\times b(-a)\times b+b\times b$ then find

$(-7)\Delta(-1)$

Below u, v, w and x represent different integers, where u = –4 and x≠ 1, w=0. By using the following equations,

u × v = u

x × w = w

u + x = w

What is the value of x?

Taking today as zero on the number line, if the day before yesterday is 17 January, what is the date 3 days after tomorrow?

Convert the following from fahrenheit to celsius using $C=\frac{5}{9}\left(F-32\right)$

Gas	Freezing Point at Sea Level (°F)	Freezing Point at Sea Level (°C)
Hydrogen	-435

Below u, v, w and x represent different integers, where u = –4 and x≠ 1. By using following equations,

u × v = u

x × w = w

u + x = w

What is the value of v?

Convert the following from fahrenheit to celsius using $C=\frac{5}{9}\left(F-32\right)$

Gas	Freezing Point at Sea Level (°F)	Freezing Point at Sea Level (°C)
Krypton	-251

The highest point measured above sea level is the summit of Mt. Everest which is 8,848 m above sea level and the lowest point is Challenger Deep at the bottom of Mariana Trench which is 10911 m below sea level. What is the vertical distance between these two points?

Convert the following from fahrenheit to celsius using $C=\frac{5}{9}\left(F-32\right)$

Gas	Freezing Point at Sea Level (°F)	Freezing Point at Sea Level (°C)
Argon	-309

The height of place A is 1800 m above sea level. Another place B is 700 m below sea level. What is the difference between the levels of these two places?

Evaluate (–85 ) x 43 + 43 x (–15) ,using distributive property.

Evaluate 53 x ( –9) – (–109) x 53 ,using distributive property.

Which of the following are two integers which are smaller than – 5 and their difference is – 5?

Which of the following are two integers that are greater than – 4 but their sum is smaller than – 4?

The next number in the pattern –62, –37, –12... is ____________.

Division is the inverse operation of ____________

Which of the following statements is not true?

51 ÷ _____ = – 51

(– 23) × (42) = (– 42) × _____

State whether the following statement is true or false.

5 – ( – 8) is same as 5 + 8.

State whether the following statement is true or false.

If a, b, c are integers and b≠ 0 then,

a × (b – c)= a × b – a × c

If we multiply ________ number of negative integers, then the resulting integer is positive.

(–25)×(–2)= _____.

113 ÷ _____ = – 1

State whether the following statement is true or false.

Integers are closed under subtraction.

On the following number line value, ‘Zero’ is represented by the point _________.

If we multiply six negative integers and six positive integers, then the resulting integer is ___.

23 x (–99)= __ x (–100 + __)= 23 x __+ 23 x __

(–5)×(–6)×(–7)= _____.

If represent some integers on number line,

then descending order of these numbers is ___________.

We get additive inverse of an integer a when we multiply it by ________.

The value of 5 ÷ (–1) does not lie between ________.

(– 11) × 7 is not equal to ______.

3×(–1)×(–15)= _____.

[[12 × ( – 7)]] × 5 = _____× [[(– 7) ×_____ ]]

____ x (–1) = –35

___ x (–1) = 47

Which of the following is the multiplicative identity for an integer a?

State whether the following statement is true or false.

(– 9) + (– 11) is greater than (– 9) – ( – 11).

65 ÷ (–13) = __

_____÷(–1)= – 83

$\left[\left(-8\right)\times\left(-3\right)\right]\times\left(-4\right)$ is not equal to ________.

( – 100) ÷ ( – 10) =___

_____÷(–1)=75

$\left(-25\right)\times\left[6+4\right]$ is not same as _________.

-35 x 107 is not same as __________.

(–43) x ( -99)+ 43 is equal to ________.

( – 225) ÷ 5 =___

When (–16) is divided by _______ the quotient is 4.

(–16) ÷ 4 is not same as _________.

If a and b are two integers, then which of the following may not be an integer?

Which of the following does not represent an integer?

Which of the following is an odd one out which gives a different result?

88 x __ = –88

Add the pair of numbers given in options.

Which of the following is an odd pair which when added gives a different result?

State whether the following statement is true or false.

(–1)×(–2)×(–3)=1×2×3

State whether the following statement is true or false.

When we multiply two integers, their product is

always greater than both the integers.

State whether the following statement is true or false.

(a + b) × c = a × c + a × b

Which of the following has a different result from the given options?

(– 10) × (– 5) + (– 7) is equal to ______.

Which of the following shows the maximum rise in temperature?

Which of the following is not the additive inverse of a?

For a non-zero integer a, which of the following is not defined?

Which of the following is an odd one out which gives a different result?

Add the pair of numbers given in options.

Which of the following is an odd pair which when added gives a different result?

(–a) + b

= b + (Additive inverse of _____).

__´x (–93) = 93

(– 95) ÷ _____ = 95

State whether the following statement is true or false.

Sum of two negative integers always gives a

number smaller than both the integers.

(-40) x _____ = 80

Which of the following is an odd one out which gives a different result?

___÷ (–10) = 0

(–157) × (–19) + 157 = ______

( – 69) ÷ ( 69) = _____

[[ (-8) + _____ ]] + _____ = _____ + [[ (-3) + _____ ]] = -3

On the following number line, (–4) × 3 is represented by the point___.

If X, Y and Z are integers then (X+___ ) + Z = _____ + (Y + _____ )

____ x (-23) = -920

(–28)÷(–28)=_

(– 43) + _____ = – 43

(–8)+(–8)+(–8)= _____×(–8)

11 × (– 5) = _____

State whether the following statement is true or false.

When we change the order of integers their

difference remains the same.

State whether the following statement is true or false.

Difference of two negative integers cannot be a

positive integer

When we divide a negative integer by a positive integer, we divide them as whole numbers and put a ___ sign before quotient.

State whether the following statement is true or false.

(–237) × 0 is equal to 0 × (–39)

State whether the following statement is true or false.

(– 23) + 47 is same as 47 + (–

23).

State whether the following statement is true or false.

We can write a pair of integers whose sum is not

an integer.

State whether the following statement is true or false.

When we change the order of integers, their sum

remains the same.

State whether the following statement is true or false.

Going 500 m towards east first and then 200 m

back is same as going 200 m towards west first and

then going 500 m back.

State whether the following statement is true or false.

(–19)×(–11)=19×11

State whether the following statement is true or false.

(–5)×(33)=5×(–33)

State whether the following statement is true or false.

(–20)×(5–3)=(–20)×(–2)

State whether the following statement is true or false.

4×(–5)=(–10)×(–2)

State whether the following statement is true or false.

Product of two negative integers is a negative integer.

State whether the following statement is true or false.

Product of a negative integer and a positive integer is a positive integer.

State whether the following statement is true or false.

–3×3=–12–(–3)

State whether the following statment is true or false.

Integers are closed under multiplication.

State whether the following statement is true or false.

Product of three negative integers is a negative integer.

State whether the following statement is true or false.

99 × 101 can be written as (100 –

1) × (100 + 1)

State whether the following statement is true or false.

Multiplication is not commutative for integers.

State whether the following statement is true or false.

(–1) is not a multiplicative identity of integers.

State whether the following statement is true or false.

a × b = b × a

State whether the following statement is true or false.

a ÷ b = b ÷ a

While multiplying a positive integer and a negative integer, we multiply them as ________ numbers and put a ________ sign before the product.

State whether the following statement is true or false.

Multiplication fact

(–8) × (–10)= 80

is same as division fact

80 ÷ (– 8) = (–10)

State whether the following statement is true or false.

The sum of an integer and its additive inverse is

zero (0).

State whether the following statement is true or false.

a ÷ (–b) = – (a ÷ b)

State whether the following statement is true or false.

Integers are closed under division.

State whether the following statement is true or false.

a ÷ ( –1) = – a

State whether the following statement is true or false.

The successor of 0 × (–25) is 1 × (–25)

When the integers 10, 0, 5, – 5, – 7 are arranged in descending or ascending order, they find out which of the following integers always remains in the middle of the arrangement.

(a) 0 (b) 5 (c) – 7 (d) – 5

By observing the number line (Fig. 1.2), the state which of the following statements is not true.

a) B is greater than –10 (b) A is greater than 0

(c) B is greater than A (d) B is smaller than 0

A ribbon of length 5¼ m is cut into small pieces each of length ¾m. A number of pieces will be:

(a) 5 (b) 6 (c) 7 (d) 8

By observing the above number line (Fig. 1.2), a state which of the following statements is true.

(a) B is 2 (b) A is – 4 (c) B is –13 (d) B is – 4

Next three consecutive numbers in the pattern 11, 8, 5, 2, –, –, — are

(a) 0, – 3, – 6 (b) – 1, – 5, – 8 (c) – 2, – 5, – 8 (d) – 1, – 4, – 7

The next number in the pattern – 62, – 37, – 12 _________ is

(a) 25 (b) 13 (c) 0 (d) –13

Which of the following statements is not true?

(a) When two positive integers are added, we always get a positive integer.

(b) When two negative integers are added we always get a negative integer.

(c) When a positive integer and a negative integer are added we always get a negative integer.

(d) The additive inverse of an integer 2 is (– 2) and the additive inverse of (– 2) is 2.

On the following number line value, ‘Zero’ is shown by the point

(a) X (b) Y (c) Z (d) W

If ⊗, O, and • represent some integers on a number line, then descending order of these numbers is

On the number line, the value of (–3) × 3 lies on the right-hand side of

(a) – 10 (b) – 4 (c) 0 (d) 9

The value of 5 ÷ (–1) does not lie between

(a) 0 and – 10 (b) 0 and 10 (c) – 4 and – 15 (d) – 6 and 6

The water level in a well was 20m below ground level. During the rainy season, rainwater collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is

(a) 17 m (b) 18 m (c) 96 m (d) 97 m

(– 11) × 7 is not equal to

(a) 11 × (– 7) (b) – (11 × 7) (c) (– 11) × (– 7) (d) 7 × (– 11)

(– 10) × (– 5) + (– 7) is equal to

(a) – 57 (b) 57 (c) – 43 (d) 43

Which of the following is not the additive inverse of a?

(a) – (– a) (b) a × (– 1) (c) – a (d) a ÷ (–1)

Which of the following is the multiplicative identity for an integer a?

(a) a (b) 1 (c) 0 (d) – 1

[(– 8) × (– 3)] × (– 4) is not equal to

(a) (– 8) × [(– 3) × (– 4)] (b) [(– 8) × (– 4)] × (– 3)

(c) [(– 3) × (– 8)] × (– 4) (d) (– 8) × (– 3) – (– 8) × (– 4)

(– 25) × [6 + 4] is not same as

(a) (– 25) × 10 (b) (– 25) × 6 + (– 25) × 4 (c) (– 25) × 6 × 4 (d) – 250

– 35 × 107 is not same as

(a) – 35 × (100 + 7) (b) (– 35) × 7 + ( – 35) × 100

(c) – 35 × 7 + 100 (d) (– 30 – 5) × 107

(– 43) × (– 99) + 43 is equal to

(a) 4300 (b) – 4300 (c) 4257 (d) – 4214

(– 16) ÷ 4 is not same as

(a) ( – 4) ÷ 16 (b) – ( 16 ÷ 4) (c) 16 ÷ (– 4) (d) – 4

Which of the following does not represent an integer?

(a) 0 ÷ (– 7) (b) 20 ÷ (– 4) (c) (– 9) ÷ 3 (d) (– 12) ÷ 5

Which of the following is different from the others?

(a) 20 + (–25) (b) (– 37) – (– 32) (c) (– 5) × (–1) (d) ( 45 ) ÷ (– 9)

Which of the following shows the maximum rise in temperature?

(a) 23° to 32° (b) – 10° to + 1° (c) – 18° to – 11° (d) – 5° to 5°

If a and b are two integers, then which of the following may not be an integer?

(a) a + b (b) a – b (c) a × b (d) a ÷ b

For a non-zero integer a, which of the following is not defined?

(a) a ÷ 0 (b) 0 ÷ a (c) a ÷ 1 (d) 1 ÷ a

Encircle the odd one of the following

(a) (–3, 3) (b) (–5, 5) (c) (–6, 1) (d) (–8, 8)

Encircle the odd one of the following

(a) (–1, –2) (b) (–5, +2) (c) (–4, +1) (d) (–9, +7)

Encircle the odd one of the following

(a) (–9) × 5 × 6 × (–3) (b) 9 × (–5) × 6 × (–3)

(c) (–9) × (–5) × (–6) × 3 (d) 9 × (–5) × (–6) × 3

Encircle the odd one of the following

(a) (–100) ÷ 5 (b) (–81) ÷ 9 (c) (–75) ÷ 5 (d) (–32) ÷ 9

Encircle the odd one of the following

(a) (–1) × (–1) (b) (–1) × (–1) × (–1)

(c) (–1) × (–1) × (–1) × (–1) (d) (–1) × (–1) × (–1) × (–1) × (–1) × (–1)

(–a) + b = b + Additive inverse of __________.

____ ÷ (–10) = 0

(–157) × (–19) + 157 = ___________

[[(–8) + ______ ]] + ________ = ________ + [[(–3) + ________ ]] = –3

On the following number line, (–4) × 3 is represented by the point _____.

If x, y and z are integers then (x +___ ) + z = _____ + (y + _____ )

(– 43) + _____ = – 43

(– 8) + (– 8) + (– 8) = _____ × (– 8)

11 × (– 5) = – ( _____ × _____ ) = _____

(– 9) × 20 = _____

(– 23) × (42) = (– 42) × _____

While multiplying a positive integer and a negative integer, we multiply them as ________ numbers and put a ________ sign before the product.

If we multiply ________ number of negative integers, then the resulting integer is positive.

If we multiply six negative integers and six positive integers, then the resulting integer is _______

If we multiply five positive integers and one negative integer, then the resulting integer is _______.

___ is the multiplicative identity for integers.

We get the additive inverse of an integer a when we multiply it by _________.

( – 25) × ( – 2) =

(– 5) × ( – 6) × ( – 7) =

3 × ( – 1) × ( – 15) =

[[12 × ( – 7)]]× 5 = ___ × [[(– 7) × ___ ]]

23 × ( – 99) = ___ × ( – 100 + ___ ) = 23 × ___ + 23 × ___

___ × ( – 1) = – 35

____ × ( – 1) = 47

fill in the blanks to make the statements true.

88 × ___ = – 88

fill in the blanks to make the statements true.

___ × (–93) = 93

fill in the blanks to make the statements true.

( – 40) × __ = 80

fill in the blanks to make the statements true.

___ × (–23) = – 920

When we divide a negative integer by a positive integer, we divide them as whole numbers and put a ______ sign before quotient.

When –16 is divided by _________ the quotient is 4.

Division is the inverse operation of ____________

fill in the blanks to make the statements true.

65 ÷ ( – 13) =

fill in the blanks to make the statements true.

( – 100) ÷ ( – 10) =

fill in the blanks to make the statements true.

( – 225) ÷ 5 =

fill in the blanks to make the statements true.

_____÷ ( – 1 ) = – 83

fill in the blanks to make the statements true.

_ ÷ ( – 1) = 75

fill in the blanks to make the statements true.

51 ÷ _____ = – 51

fill in the blanks to make the statements true.

113 ÷ _____ = – 1

fill in the blanks to make the statements true.

(– 95) ÷ _____ = 95

fill in the blanks to make the statements true.

( – 69) ÷ ( 69) = _____

fill in the blanks to make the statements true.

( – 28) ÷ ( – 28) = _____

state whether the statements are True or False.

5 – ( – 8) is same as 5 + 8.

(– 9) + (– 11) is greater than (– 9) – ( – 11).

The Sum of two negative integers always gives a number smaller than both the integers.

Difference of two negative integers cannot be a positive integer.

We can write a pair of integers whose sum is not an integer.

Integers are closed under subtraction.

(– 23) + 47 is same as 47 + (– 23).

When we change the order of integers, their sum remains the same.

When we change the order of integers their difference remains the same.

Going 500 m towards east first and then 200 m back is the same as going 200 m towards west first and then going 500 m back.

(– 5) × (33) = 5 × (– 33)

(– 19) × (– 11) = 19 × 11

Ncert exemplar solutions mathematics class 7 Solutions for Chapter 1 integers