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NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

Document Description: NCERT Solutions: Integers (Exercise 6.1) for Class 6 2022 is part of Mathematics (Maths) Class 6 preparation. The notes and questions for NCERT Solutions: Integers (Exercise 6.1) have been prepared according to the Class 6 exam syllabus. Information about NCERT Solutions: Integers (Exercise 6.1) covers topics like and NCERT Solutions: Integers (Exercise 6.1) Example, for Class 6 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for NCERT Solutions: Integers (Exercise 6.1).

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Q1. Write opposites of the following:

(a) Increase in weight

The opposite of increase in weight is decrease in weight.

(b) 30 km North

The opposite of 30 km North is 30 km South.

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(c) 80 m East

The opposite of 80 m East is 80 m West.

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(d) Loss of Rs 700

The opposite of loss of Rs 700 is gain of Rs 700.

(e) 100 m above sea level

The opposite of 100 m above sea level is 100 m below sea level.


Q2. Represent the following numbers as integers with appropriate signs.

(a) An aeroplane is flying at a height two thousand metre above the ground.

(+) 2000 meters

(b) A submarine is moving at a depth, eight hundred metre below the sea level.

(-) 800 meters

(c) A deposit of rupees two hundred.

(+) 200 Rupees

(d) Withdrawal of rupees seven hundred.

(-) 700 Rupees


Q3. Represent the following numbers on a number line:

(a) + 5

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(b) -10

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6 

(c) + 8

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(d) -1

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(e) -6

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6 


Q4. The adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:
(a) If point D is + 8, then which point is -8?
(b) Is point G a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of value.

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6Ans: 

(a) If point D is +8, then point F is -8
(b) Point G is a negative integer
(c) Point B is 4 and point E is – 10
(d) The least value on this number line is point E as it represents – 10
(e) The points in decreasing order of value are D, C, B, A, O, H, G, F, E


Q5. Following is the list of temperatures of five places in India on a particular day of the year. 

Place

Temperature

Siachin

10°C below 0°C ...........

Shimla

2°C below 0°C............

Ahmedabad

30°C above 0°C.............

Delhi

20°C above 0°C.............

Srinagar

5°C below 0°C...........


(a) Write the temperatures of these places in the form of integers in the blank column.

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(b) Following is the number line representing the temperature in degree Celsius.

Plot the name of the city against its temperature.

Number line
NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(c) Which is the coolest place?

Siachin is the coolest place. 

(d) Write the names of the places where temperatures are above 10°C.

Ahmedabad and Delhi are the places where the temperatures are above 10°C. 


Q6. In each of the following pairs, which number is to the right of the other on the number line?

(a) 2, 9

9 lies to the right on the number line (9 > 2)

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(b) -3, -8 

–3 lies to the right on the number line (- 3 > – 8)

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(c) 0, -1

0 lies to the right on the number line (0 > -1)

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(d) -11, 10

10 lies to the right on the number line (10 > -11)

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(e) -6, 6

6 lies to the right on the number line (6 > -6) 

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(f) 1, -100

1 lies to the right on the number line (1 > -100)


Q7. Write all the integers between the given pairs (write them in increasing order.)

(a) 0 and -7 

-6, -5, -4, -3, -2, -1 are the integers between 0 and -7

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(b) -4 and 4

-3, -2, -1, 0, 1, 2, 3 are the integers between -4 and 4

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(c) -8 and -15

-14, -13, -12, -11, -10, -9 are the integers between -8 and -15

NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(d) -30 and -23

-29, -28, -27, -26, -25, -24 are the integers between -30 and -23


Q8. Answer the following questions.

(a) Write four negative integers greater than -20.

-19, -18, -17, -16 are the integers greater then -20

(b) Write four negative integers less than -10.

-11, -12, -13, -14 are the integers less than -10


Q9. For the following statements, write True (T) or False (F). If the statement is false, correct the statement.

(a) -8 is to the right of -10 on a number line.

True as (-8 > -10)

(b) -100 is to the right of -50 on a number line.

False as (-50 is greater than -100). 

Correct Statement: -100 lies to the left of -50 on the number line. OR -50 lies to the right of -100 on a number line. 

(c) Smallest negative integer is -1

False. 

Correct Statement: Greatest negative integer is -1.

(d) -26 is greater than -25.

False.

Correct Statement: -26 is smaller than -25 OR -25 is greater than -26.  


Q10. Draw a number line and answer the following:

(a) Which number will we reach if we move 4 numbers to the right of -2.

If we move 4 numbers to the right of -2, we will reach at 2. 


NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(b) Which number will we reach if we move 5 numbers to the left of 1.

If we move 5 numbers to the left of 1, we will reach at -4.
NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6

(c) If we are at -8 on the number line, in which direction should we move to reach -13?

As -13 lies to the left of -8 on the number line, we should move towards the left direction.

(d) If we are at -6 on the number line, in which direction should we move to reach -1?

As -1 lies to the right of -6 on the number line, we should move towards the right direction.

The document NCERT Solutions: Integers (Exercise 6.1) Notes | Study Mathematics (Maths) Class 6 - Class 6 is a part of the Class 6 Course Mathematics (Maths) Class 6.
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