Ncert solutions mathematics class 7 Solutions for Chapter 1 integers

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. The monkey jumps till the ninth step to drink water.

After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature of Bengaluru?

The following number line shows the temperature in degrees celsius at different places on a particular day.

Can we say the temperature of Srinagar and Shimla taken together is less than the temperature at Shimla?

Following number line shows the temperature in degree celsius (co) at different places on a particular day.

Can we say the temperature of Srinagar and Shimla taken together is less than the temperature at Srinagar?

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature of Ooty?

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature of Shimla?

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?

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature of Lahulspiti?

Use the sign of >, < or = in the blank to make the statements true.

39 + (-24) – (15) _________ 36 + (-52) – (- 36)

A monkey jumps 3 steps down and then jumps back 2 steps up.

If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers represent the monkey’s moves by completing the following:

– 3 + 2 – ______= – 8.

Select the correct option

If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers represent the monkeys moves in part by completing the following:

4 – 2 + _________= 8.

Select the correct option

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature difference between Lahulspiti and Srinagar?

Use the sign of >, < or = in the blank to make the statements true.

(-8) + (-4) __________ (-8) – (-4)

In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

Use the sign of >, < or = in the blank to make the statements true

23 – 41 + 11 __________ 23 – 41 – 11

State whether the following statement is TRUE or FALSE:

If a – (– b) = a + b verifies for a = 21, b = 18

A plane is flying at the height of 5000 m above 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?

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature of Srinagar?

Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1,642 from it, the next day. If the withdrawal of the amount from the account is represented by a negative integer, how much balance is left in Mohan’s account after the withdrawal?

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 Wednesday ?

Use the sign of >, < or = in the blank to make the statements true

(-3) + 7 – (19) _______ 15 – 8 + (-9)

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

Use the sign of >, < or = in the blank to make the statements true.

– 231 + 79 + 51 _________ -399 + 159 + 81

State whether the following statement is TRUE or FALSE:

If a – (– b) = a + b verifies for a = 28, b = 11.

State whether the following statement is TRUE or FALSE:

If a – (– b) = a + b verifies for a = 75, b = 84.

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 score at the end?

State whether the following statement is TRUE or FALSE:

If a – (– b) = a + b verifies for a = 118, b = 125.

The following number line shows the temperature in degrees celsius at different places on a particular day.

What is the temperature difference between the hottest and the coldest places among the above?

The following number line shows the temperature in degree celsius (co) at different places on a particular day.

Observe this number line and write the temperature of the places marked on it.

Q1) Following number line shows the temperature in degree celsius (°C) at different places on a particular day.

(a) Observe this number line and write the temperature of the places marked on it.

(b) What is the temperature difference between the hottest and the coldest places among the above?

(c) What is the temperature difference between Lahulspiti and Srinagar?

(d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

The following number line shows the temperature in degree celsius (co) at different places on a particular day.

What is the temperature difference between the hottest and the coldest places among the above?

The following number line shows the temperature in degree celsius (co) at different places on a particular day.

What is the temperature difference between Lahulspiti and Srinagar?

The following number line shows the temperature in degree celsius (co) at different places on a particular day.

Observe this number line and write the temperature of the places marked on it

The following number line shows the temperature in degree celsius (co) at different places on a particular day.

Can we say the temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Q2) 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?

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?

Q3)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?

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?

A plane is flying at a 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?

Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1,642 from it, the next day. If the withdrawal of the 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.

Q5) Mohan deposits Rs 2,000 in his bank account and withdraws Rs 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.

Q6) 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?

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

By which integer will you represent her final position from A?

In a magic square each row, column, and diagonal have the same sum.

Check which of the following is a Magic Square?

Q7) In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.

(i)

(ii)

Q8) Verify a – (– b) = a + b for the following values of a and b.

(i) a = 21, b = 18

(ii) a = 118, b = 125

(iii) a = 75, b = 84

(iv) a = 28, b = 11

Verify a – (– b) = a + b for the following values of a and b.

a = 21, b =18

Verify a – (– b) = a + b for the following values of a and b.

a = 75, b = 84

Verify a – (– b) = a + b for the following values of a and b.

a = 118, b = 125

Use the sign of >, < or = in the box to make the statements true.

(a) (-8) + (-4) [ ] (-8) – (-4)

Use the sign of >, < or = in the box to make the statements true.

39 + (-24) – (15) [ ] 36 + (-52) – (- 36)

Use the sign of >, < or = in the box to make the statements true.

23 – 41 + 11 [ ] 23 – 41 – 11

Use the sign of >, < or = in the box to make the statements true.

(-3) + 7 – (19) [ ] 15 – 8 + (-9)

Q9) Use the sign of >, < or = in the box to make the statements true.

(a) (– 8) + (– 4) \square (–8) – (– 4)

(b) (– 3) + 7 – (19) \square 15 – 8 + (– 9)

(c) 23 – 41 + 11 \square 23 – 41 – 11

(d) 39 + (– 24) – (15) \square 36 + (– 52) – (– 36)

(e) – 231 + 79 + 51 \square (–399) + 159 + 81

Use the sign of >, < or = in the box to make the statements true.

(e) – 231 + 79 + 51 [ ] -399 + 159 + 81

A water tank has stepped 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?

A water tank has stepped inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

Q10) 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.

(i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?

(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?

(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) – 3 + 2 – … = – 8 (b) 4 – 2 + … = 8. In (a) the sum (– 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

A water tank has stepped inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) – 3 + 2 – … = – 8 (b) 4 – 2 + … = 8. In (a) the sum (– 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

Find pair of negative integers whose difference gives 8.

Fill in the blanks to make the following statement true:

\left(13+(-12)\right)+(\dots\dots\dots\dots)=13+\left((-12)+(-7)\right)

Fill in the blanks to make the following statement true:

(– 4) + [15 + (–3)] = [– 4 + 15] +…………

Find a pair of integer whose sum is -7.

Fill in the blanks to make the following statement true:

–53 + ………… = –53

Fill in the blanks to make the following statement true:

17 + ………… = 0

Find negative integer and a positive integer whose sum is – 5.

Find negative integer and a positive integer whose difference is – 3.

Find a pair of integer whose sum is 0.

Fill in the blanks to make the following statement true:

(–5) + (– 8) = (– 8) + (…………)

In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more?

Find a pair of integer whose difference is – 10.

Q1) Write down a pair of integers whose:

(a) sum is –7 (b) difference is –10 (c) sum is 0

Write down a pair of integers whose:

sum is 0

Write down a pair of integers whose:

Difference is – 10

Write down a pair of integers whose:

(a) sum is -7

Write a negative integer and a positive integer whose difference is – 3.

Write a pair of negative integers whose difference gives 8

Q2) (a) Write a pair of negative integers whose difference gives 8.

(b) Write a negative integer and a positive integer whose sum is –5.

(c) Write a negative integer and a positive integer whose difference is –3.

Write a negative integer and a positive integer whose sum is – 5.

Q3) 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?

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?

Q4) Fill in the blanks to make the following statements true:

(i) (–5) + (– 8) = (– 8) + (…………)

(ii) –53 + ………… = –53

(iii) 17 + ………… = 0

(iv) [13 + (– 12)] + (…………) = 13 + [(–12) + (–7)]

(v) (– 4) + [15 + (–3)] = [– 4 + 15] + …………

Fill in the blanks to make the following statements true:

–53 + ………… = –53

Fill in the blanks to make the following statements true:

17 + ………… = 0

Fill in the blanks to make the following statements true:

(– 4) + [15 + (–3)] = [– 4 + 15] +…………

Fill in the blanks to make the following statements true:

(–5) + (– 8) = (– 8) + (…………)

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted. Reshma gets five correct answers and five incorrect answers, what is her score?

Fill in the blank with an appropriate integer:

5 × _____ = –35

Determine the integer which when multiplied with (–1) gives -37.

Determine the integer which when multiplied with (–1) gives -22.

Find the product using suitable properties:

8 × 53 × (–125) = _______

A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

State whether the following statement is TRUE or FALSE:

18\times[7+(-3)]=[18\times7]+[18\times(-3)]

For any integer a, what is

(–1) × a = ?

Find the product using suitable properties:

625 × (–35) + (– 625) × 65= ____________

Find the product using suitable properties:

15 × (–25) × (– 4) × (–10)

Find the product using suitable properties:

26 × (– 48) + (– 48) × (–36) = _____

(–15) × 0 × (–18) = _______

(–1) × 225 = __________

(–316) × (–1) = _____

(–12) × (–11) × (10) = _______

(–18) × (–5) × (– 4) = ________

(–1) × (–2) × (–3) × 4 = ________

(–3) × (–6) × (–2) × (–1) = __________

9 × (–3) × (– 6) = ______

State whether the following statement is TRUE or FALSE:

(–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags?

Determine the integer whose product with (–1) is -0.

-1 × ____ = -2

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted. Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted. Mohan gets four correct and six incorrect answers. What is his score?

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

Fill in the blank with an appropriate integer:

__ × (– 8) = –56

-1 × ____ = -5

-1 × ____ = -4

-1 × ____ = -1

Fill in the blank with an appropriate integer:

_ × (–12) = 132

3 × (–1)= _____

Find the product using suitable properties:

(– 41) × 102 = _______

(–21) × (–30) = _______

Find the product using suitable properties:

(–57) × (–19) + 57 = _____

Find the product using suitable properties:

(–17) × (–29) =___

Find the product using suitable properties:

7 × (50 – 2) = _________

Replace the blank with an integer to make it a true statement.

(–3) × _____ = 27

Find each of the following products:

(–1) × 225

Q1) Find each of the following products:

(a) 3 × (–1)

(b) (–1) × 225

(c) (–21) × (–30)

(d) (–316) × (–1)

(e) (–15) × 0 × (–18)

(f) (–12) × (–11) × (10)

(g) 9 × (–3) × (– 6)

(h) (–18) × (–5) × (– 4)

(i) (–1) × (–2) × (–3) × 4

(j) (–3) × (–6) × (–2) × (–1)

Find each of the following products:

(–21) × (–30)

Find each of the following products:

(–316) × (–1)

Find each of the following products:

3 × (–1)

Find each of the following products:

9 × (–3) × (– 6)

Find each of the following products:

(–15) × 0 × (–18)

Find each of the following products:

(–3) × (–6) × (–2) × (–1)

Find each of the following products:

(–12) × (–11) × (10)

Find each of the following products:

(–18) × (–5) × (– 4)

Find each of the following products:

(–1) × (–2) × (–3) × 4

Q2) Verify the following:

(a) 18 × [7 + (–3)] = [18 × 7] + [18 × (–3)]

Verify the following:

Verify the following:

Determine the integer whose product with (–1) is

–22

For any Integer, a, what is (–1) × an Equal to?

Q3) (i) For any integer a, what is (–1) × a equal to?

(ii) Determine the integer whose product with (–1) is

(a) –22 (b) 37 (c) 0

Determine the integer whose product with (–1) is

0

Determine the integer whose product with (–1) is

37

Q4) Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.

Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.

Find the product, using suitable properties:

625 × (–35) + (– 625) × 65

Find the product, using suitable properties:

8 × 53 × (–125)

Find the product, using suitable properties:

15 × (–25) × (– 4) × (–10)

Find the product, using suitable properties:

(– 41) × 102

Find the product, using suitable properties:

26 × (– 48) + (– 48) × (–36)

Find the product, using suitable properties:

(–57) × (–19) + 57

Find the product, using suitable properties:

(–17) × (–29)

Find the product, using suitable properties:

7 × (50 – 2)

Q5) Find the product, using suitable properties:

(a) 26 × (– 48) + (– 48) × (–36)

(b) 8 × 53 × (–125)

(c) 15 × (–25) × (– 4) × (–10)

(d) (– 41) × 102

(e) 625 × (–35) + (– 625) × 65

(f) 7 × (50 – 2)

(g) (–17) × (–29)

(h) (–57) × (–19) + 57

A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

Q6) A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5°C every hour. What will be the room temperature 10 hours after the process begins?

Q7) In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

(i) Mohan gets four correct and six incorrect answers. What is his score?

(ii) Reshma gets five correct answers and five incorrect answers, what is her score?

(iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

In a class test containing 10 questions, 5 marks are awarded for every correct answer, and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

Reshma gets five correct answers and five incorrect answers, what is her score?

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

In a class test containing 10 questions, 5 marks are awarded for every correct answer, and (–2) marks are awarded for every incorrect answer and 0 for questions not attempted.

Mohan gets four correct and six incorrect answers. What is his score?

Q8) A cement company earns a profit of Rs 8 per bag of white cement sold and a loss of Rs 5 per bag of grey cement sold.

(a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold.

What is the number of white cement bags it must sell to have neither profit nor loss if the number of grey bags sold is 6,400 bags?

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold.

The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

Replace the blank with an integer to make it a true statement.

5 × _____ = –35

Replace the blank with an integer to make it a true statement.

_____ × (–12) = 132

Replace the blank with an integer to make it a true statement.

_____ × (– 8) = –56

Q9) Replace the blank with an integer to make it a true statement.

(a) (–3) × _____ = 27

(b) 5 × _____ = –35

(c) _____ × (– 8) = –56

(d) _____ × (–12) = 132

Replace the blank with an integer to make it a true statement.

(–3) × _____ = 27

Evaluate:

13 ÷ (–1)

Fill in the blanks:

(–206) ÷ _____ = 1

Evaluate:

[(-6)+5)]\div[(-2)+1]

Fill in the blanks:

____ ÷ (4) = –3

Evaluate:

(-31)\div[(-30)+(-1)]

Evaluate:

0 ÷ (–12)

Evaluate:

(–30) ÷ 10

Evaluate:

(–36) ÷ (–9)

Evaluate:

(– 49) ÷ (49)

Evaluate:

50 ÷ (–5)

Fill in the blanks:

– 87 ÷ _____ = 87

State whether the following statement is TRUE or FALSE:

a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)

for a = 12, b = – 4, c = 2

Fill in the blanks:

20 ÷ _____ = –2

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?

Find a pair of integers (a, b) such that a ÷ b = –3.

One such pair is (6, –2) because 6 ÷ (–2) = (–3).

Select the correct option which satisfies the given condition.

Fill in the blanks:

____ ÷ 48 = –1

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.

Evaluate:

[(-36)\div12]\div3

The temperature at 12 noon was 10^oC above zero. If it decreases at the rate of 2^oC per hour until night. What would be the temperature at 12 mid-night?

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. Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

State whether the following statement is TRUE or FALSE:

a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)

for a = (–10), b = 1, c = 1.

Fill in the blanks:

(–75) ÷ _____ = –1

Fill in the blanks:

369 ÷ _____ = 369

Fill in the blanks:

____ ÷ 1 = – 87

Evaluate each of the following:

(–36) ÷ (–9)

Q1) Evaluate each of the following:

(a) (–30) ÷ 10

(b) 50 ÷ (–5)

(c) (–36) ÷ (–9)

(d) (– 49) ÷ (49)

(e) 13 ÷ [(–2) + 1]

(f) 0 ÷ (–12)

(g) (–31) ÷ [(–30) + (–1)]

(h) [(–36) ÷ 12] ÷ 3

Evaluate each of the following:

[(–36) ÷ 12] ÷ 3

Evaluate each of the following:

Evaluate each of the following:

50 ÷ (–5)

Evaluate each of the following:

(– 49) ÷ (49)

Evaluate each of the following:

Evaluate each of the following:

0 ÷ (–12)

Evaluate each of the following:

(–30) ÷ 10

Evaluate each of the following:

Q2) Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c.

(a) a = 12, b = – 4, c = 2 (b) a = (–10), b = 1, c = 1

Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c.

a = 12, b = – 4, c = 2

Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c.

a = (–10), b = 1, c = 1

Fill in the blanks:

20 ÷ _____ = –2

Fill in the blanks:

(–206) ÷ _____ = 1

Fill in the blanks:

(–75) ÷ _____ = –1

Fill in the blanks:

– 87 ÷ _____ = 87

Fill in the blanks:

369 ÷ _____ = 369

Fill in the blanks:

_____ ÷ 1 = – 87

Fill in the blanks:

_____ ÷ 48 = –1

Fill in the blanks:

_____ ÷ (4) = –3

Q3) Fill in the blanks:

(a) 369 ÷ _____ = 369

(b) (–75) ÷ _____ = –1

(c) (–206) ÷ _____ = 1

(d) – 87 ÷ _____ = 87

(e) _____ ÷ 1 = – 87

(f) _____ ÷ 48 = –1

(g) 20 ÷ _____ = –2

(h) _____ ÷ (4) = –3

Write five pairs of integers (a, b) such that a ÷ b = –3. One such pair is (6, –2) because 6 ÷ (–2) = (–3).

Q4) Write five pairs of integers (a, b) such that a ÷ b = –3. One such pair is (6, –2) because 6 ÷ (–2) = (–3).

Q5) 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?

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?

Q6) 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. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

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 did she attempt incorrectly?

Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

Q7) 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.

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.