RBSE Solutions for Class 6 Maths Chapter 6 Integers Ex 6.1

Rajasthan Board RBSE Solutions for Class 6 Maths Chapter 6 Integers Ex 6.1 Textbook Exercise Questions and Answers.

RBSE Class 6 Maths Solutions Chapter 6 Integers Ex 6.1

Question 1.
Write opposite of the following:
(a) Increase in weight
Answer:
Decrease in weight

(b) 30 km north
Answer:
30 km south

(c) 80 m east
Answer:
80 m west

(d) Loss of ₹ 700
Answer:
Profit of ₹ 700

(e) 100 m above sea level
Answer:
100 m below sea level.

Question 2.
Represent the following numbers as integers with appropriate signs :
(a) An aeroplane is flying at a height, two thousand metre above the ground.
Answer:
+ 2000 metre

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

(c) A deposit of rupees two hundred.
Answer:
+ 200 rupees

(d)Withdrawal of rupees seven hundred.
Answer:
- 700 rupees

Question 3.
Represent the following numbers on a number line :
(a) + 5
Answer:

(b) - 10
Answer:

(c) + 8
Answer:

(d) - 1
Answer:

(e) - 6
Answer:

Question 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?
Answer:
F

(b) Is point G a negative integer or a positive integer?
Answer:
Negative integer (- 6)

(c) Write integers for points B and E.
Answer:
B = + 4, E = - 10

(d) Which point marked on this number line has the least value?
Answer:
E has the least value as it represents - 10.

(e) Arrange all the points in decreasing order of value.
Answer:
Decreasing order: D, C, B, A, O, H, G, F, E

Question 5.
Following is the list of temperatures of five places in India, on a particular day of the year :

Place	Temperature
Siachen	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.
Answer:

Place	Temperature
Siachen	-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.
Answer:

(c) Which is the coolest place?
Answer:
Siachen

(d) Write the names of the places where temperatures are above 10°C.
Answer:
Ahmedabad and Delhi

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

(b) - 3, - 8
Answer:
- 3 is right of - 8 so (- 3 > - 8).

(c) 0, - 1
Answer:
0 is right of - 1 so (0 > -1).

(d) - 11, 10
Answer:
10 is right of - 11 so (19 > - 11).

(e) - 6, 6
Answer:
6 is right of - 6 so (6 > - 6).

(f) 1, - 100
Answer:
1 is right of -100 so (1 > - 100).

Question 7.
Write all the integers between the given pairs (write them in the increasing order):
(a) 0 and - 7
Answer:
The integers between 0 and - 7 are (increasing order):
-6,-5,-4,-3,-2,-1.

(b) - 4 and 4
Answer:
The integers between - 4 and 4 in increasing order are:
-3,-2,-1,0,1, 2, 3.

(c) - 8 and - 15
Answer:
The integers between - 8 and - 15 in increasing order are:
- 14, - 13, - 12, - 11, - 10, - 9.

(d) - 30 and - 23
Answer:
The integers between - 30 and - 23 in increasing order are:
- 29, - 28, - 27, - 26, - 25, - 24.

Question 8.
(a) Write four negative integers greater than - 20.
Answer:
Negative integers greater than - 20 are : - 19, - 18, - 17, - 16.

(b) Write four integers less than - 10.
Answer:
Negative integers less than -10 are : - 11, - 12, - 13, - 14.

Question 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.
Answer:
True.

(b) - 100 is to the right of - 50 on a number line.
Answer:
False, since (- 50 > -100), -100 is to the left of - 50 on the number line.

(c) Smallest negative integer is - 1.
Answer:
False, since - 1 is the greatest negative integer.

(d) - 26 is greater than - 25.
Answer:
False, since - 26 is smaller than - 25.

Question 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
Answer:
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
Answer:
If we move 5 numbers left to the 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?
Answer:
On left side, as - 13 is to the left of - 8.

(d) If we are at - 6 on the number line, in which direction should we move to reach -1?
Answer:
On right side, as - 1 is to the right of - 6.