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Solutions for Chapter 2: Integers
Below listed, you can find solutions for Chapter 2 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 3 [English] Class 6 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 2 Integers Exercise 2.1 [Pages 32 - 34]
Fill in the blanks
The potable water available at 100 m below the ground level is denoted as ___________ m
A swimmer dives to a depth of 7 feet from the ground into the swimming pool. The integer that represents this, is __________ feet
−46 is to the _______ of −35 on the number line
There are _________ integers from −5 to +5 (both inclusive)
__________ is an integer which is neither positive nor negative
Say True or False
Each of the integers −18, 6, −12, 0 is greater than −20
True
False
−1 is to the right of 0
True
False
−10 and 10 are at equal distance from 1
True
False
All negative integers are greater than zero
True
False
All whole numbers are integers
True
False
Mark the numbers 4, −3, 6, −1 and −5 on the number line
On the number line, which number is 4 units to the right of −7?
On the number line, which number is 5 units to the left of 3?
Find the opposite of the following number
44
Find the opposite of the following number
−19
Find the opposite of the following number
0
Find the opposite of the following number
− 312
Find the opposite of the following number
789
If 15 km east of a place is denoted as +15 km, what is the integer that represents 15 km west of it?
From the following number line, identify the correct and the wrong representation with reason
From the following number line, identify the correct and the wrong representation with reason
From the following number line, identify the correct and the wrong representation with reason
From the following number line, identify the correct and the wrong representation with reason
From the following number line, identify the correct and the wrong representation with reason
Write all the integers between the given numbers.
7 and 10
Write all the integers between the given numbers.
−5 and 4
Write all the integers between the given numbers.
−3 and 3
Write all the integers between the given numbers.
−5 and 0
Put the appropriate signs as <, > or = in the box
−7 `square` 8
Put the appropriate signs as <, > or = in the box
−8 `square` −7
Put the appropriate signs as <, > or = in the box
−999 `square` −1000
Put the appropriate signs as <, > or = in the box
−111 `square` −111
Put the appropriate signs as <, > or = in the box
0 `square` −200
Arrange the following integers in ascending order
−11, 12, −13, 14, −15, 16, −17, 18, −19, −20
Arrange the following integers in ascending order.
−28, 6, −5, −40, 8, 0, 12, −1, 4, 22
Arrange the following integers in ascending order.
−100, 10, −1000, 100, 0, −1, 1000, 1, −10
Arrange the following integers in descending order.
14, 27, 15, −14, −9, 0, 11, −17
Arrange the following integers in descending order.
−99, −120, 65, −46, 78, 400, −600
Arrange the following integers in descending order.
111, −222, 333, −444, 555, −666, 7777, −888
Objective Type Questions
There are __________ positive integers from −5 to 6
5
6
7
11
The opposite of 20 units to the left of 0 is
20
0
−20
40
One unit to the right of −7 is ___________
+1
−8
−7
−6
3 units to the left of 1 is
−4
–3
−2
3
The number which determines marking the position of any number to its opposite on a number line is
−1
0
1
10
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 2 Integers Exercise 2.2 [Pages 34 - 36]
Miscellaneous Practice Problems
Write two different real life situations that represent the integer −3
Mark the following numbers on a number line
All integers which are greater than −7 but less than 7
Mark the following numbers on a number line
The opposite of 3
Mark the following numbers on a number line
5 units to the left of −1
Construct a number line that shows the depth of 10 feet from the ground level and its opposite
Identify the integers and mark on the number line that are at a distance of 8 units from −6
Answer the following questions from the number line given below
i) Which integer is greater: G or K? Why?
ii) Find the integer that represents C.
iii) How many integers are there between G and H?
iv) Find the pairs of letters which are opposite of a number.
v) Say True or False: 6 units to the left of D is −6.
If G is 3 and C is −1, what numbers are A and K on the number line?
Find the integers that are 4 units to the left 0 and 2 units to the right of −3
Challenge Problems
Is there the smallest and the largest number in the set of integers? Give reason
Look at the Celsius Thermometer and answer the following questions:
i) What is the temperature that is shown in the Thermometer?
ii) Where will you mark the temperature 5°C below 0°C in the Thermometer?
iii) What will be the temperature if 10°C is reduced from the temperature shown in the Thermometer?
iv) Mark the opposite of 15°C in the Thermometer
P, Q, R and S are four different integers on a number line. From the following clues, find these integers and write them in ascending order.
i) S is the least of the given integers.
ii) R is the smallest positive integer.
iii) The integers P and S are at the same distance from 0.
iv) Q is 2 units to the left of integer R.
Assuming that the home to be the starting point, mark the following places in order on the number line as per instructions given below and write their corresponding integers.
Places: Home, School, Library, Playground, Park, Departmental Store, Bus Stand, Railway Station, Post Office, Electricity Board.
Instructions:
i) Bus Stand is 3 units to the right of Home.
ii) Library is 2 units to the left of Home.
iii) Departmental Store is 6 units to the left of Home.
iv) Post Office is 1 unit to the right of the Library.
v) Park is 1 unit right of Departmental Store.
vi) Railway Station is 3 units left of Post Office.
vii) Bus Stand is 8 units to the right of Railway Station.
viii) School is next to the right of Bus Stand.
ix) Playground and Library are opposite to each other.
x) Electricity Board and Departmental Store are at equal distance from Home.
Complete the table using the following hints:
C1: the first non-negative integer.
C3: the opposite to the second negative integer.
C5: the additive identity in whole numbers.
C6: the successor of the integer in C2.
C8: the predecessor of the integer in C7.
C9: the opposite to the integer in C5.
The following bar graph shows the profit (+) and loss (−) of a small scale company (in crores) between the years 2011 to 2017.
i) Write the integer that represents a profit or a loss for the company in 2014?
ii) Denote by an integer on the profit or loss in 2016.
iii) Denote by integers on the loss for the company in 2011 and 2012.
iv) Say True or False: The loss is minimum in 2012.
v) Fill in: The amount of loss in 2011 is _______ as profit in 2013.
Solutions for 2: Integers
![Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 2 - Integers Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 2 - Integers - Shaalaa.com](/images/mathematics-term-3-english-class-6-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 2 - Integers
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Concepts covered in Mathematics - Term 3 [English] Class 6 TN Board chapter 2 Integers are Concept of Integers, Representation of Integers on the Number Line, Additive Inverse, Concept for Ordering of Integers.
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