NCERT Solutions: Integers (Exercise 6.1)

# 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. (c) 80 m East

The opposite of 80 m East is 80 m West. (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 (b) -10 (c) + 8 (d) -1 (e) -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. Ans:

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

Plot the name of the city against its temperature.

Number line (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) (b) -3, -8

–3 lies to the right on the number line (- 3 > – 8) (c) 0, -1

0 lies to the right on the number line (0 > -1) (d) -11, 10

10 lies to the right on the number line (10 > -11) (e) -6, 6

6 lies to the right on the number line (6 > -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 (b) -4 and 4

-3, -2, -1, 0, 1, 2, 3 are the integers between -4 and 4 (c) -8 and -15

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