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Questions and Solutions for NCERT Class 6th Mathematics Chapter 6 – Integers Exercise – 6.1

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Questions and Solutions for NCERT Class 6th Mathematics Chapter 6 – Integers – Exercise 6.1

1. Write opposites of the following :
(a) Increase in weight

Ans: Decrease in weight

(b) 30 km north

Ans: 30 km south

(c) 326 BC

Ans: 326 AD

(d) Loss of Rs 700

Ans: Profit of Rs 700

(e) 100 m above sea level

Ans: 100 m below sea level

2. Represent the following numbers as integers with appropriate signs.
(a) An aeroplane is flying at a height two thousand metre above the ground.

Ans: +2000 m

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

Ans: +800 m

(c) A deposit of rupees two hundred.

Ans: +200 Rupees

(d) Withdrawal of rupees seven hundred.

Ans: -700 Rupees

3. Represent the following numbers on a number line :

(a) + 5

(b) – 10

(c) + 8

(d) – 1

(e) – 6

4. 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?

Ans: F is -8

(b) Is point G a negative integer or a positive integer?

Ans: G is a negative point

(c) Write integers for points B and E.

Ans: B = +4

E = -10

(d) Which point marked on this number line has the least value?

Ans: E

(e) Arrange all the points in decreasing order of value.

Ans: D, C, B, A, O, H, G, F, E

5. 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.

Ans: Siachin = -10°C

Shimla = -2°C

Ahmedabad = +30°C

Delhi = + 20°C

Srinagar = -5 °C

(b) Following is the number line representing the temperature in degree Celsius. Plot the name of the city against its temperature.

(c) Which is the coolest place?

Ans: Siachin

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

Ans: Ahmedabad and Delhi

6. In each of the following pairs, which number is to the right of the other on the number line?
(a) 2, 9

Ans: 9 is right to 2 on the number line

(b) – 3, – 8

Ans: -3 is right to -8 on the number line

(c) 0, – 1

Ans: 0 is right to -1 on the number line

(d) – 11, 10

Ans: 10 is right to -11 on the number line

(e) – 6, 6

Ans: -6 is right to 6 on the number line

(f) 1, – 100

Ans: 1 is right to -100 on the number line

7. Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7

Ans: -6, -5, -4, -3, -2, -1

(b) – 4 and 4

Ans: -3, -2, -1, 0, 1, 2, 3

(c) – 8 and – 15

Ans: -14, -13, -12, -11, -10, -9

(d) – 30 and – 23

Ans: -29, -28, -27, -26, -25, -24

8. (a) Write four negative integers greater than – 20.

Ans: -19, -18, -17, 16

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

Ans: -11, -17, -21, -28

9. 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.

Ans: True

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

Ans: False

(c) Smallest negative integer is – 1.

Ans: False

(d) – 26 is greater than – 25.

Ans: False

10. Draw a number line and answer the following :
(a) Which number will we reach if we move 4 numbers to the right of – 2.

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

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

Ans: On left side

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

Ans: On right side

You can find the solutions for Class 6 Mathematics previous exercises from here

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