This document is a worksheet for Class 6 Mathematics on the topic of integers, covering definitions, ordering integers, solving problems, and finding additive inverses. It includes exercises to arrange integers, fill in blanks, solve equations, and answer questions based on temperature data. The worksheet aims to enhance students' understanding of integers and their applications in various scenarios.

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CLASS 6
Subject - MATHS
Chapter - INTEGERS
INTEGERS
A number that can be written without a fractional component is referred to
as an integer. An example of an integer is 1, 0, -1.
This worksheet is for class 6 maths, comprising the topic of integers. It is
important to understand different types of numbers systems.
After completing this worksheet, students will be able to have a better
understanding of the following topics:
1. What are the integers?
2. How to present the integers on a number line?
What are the integers?
A number that can be written without a fractional component is referred to
as an integer.
How to present the integers on a number line?
1. Arrange the following in ascending order -
a. -12,12,32,1,-1,0
b. -32,21,31,0,-21
c. 32,21,-12,1,-11
d. -313,292,-331,229
e. 21,2,-21,-32,1,0

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2. Arrange the following in descending order -
a. -12,12,32,1,-1,0
b. -32,21,31,0,-21
c. 32,21,-12,1,-11
d. -313,292,-331,229
e. 21,2,-21,-32,1,0
3. Fill in the blanks -
a. ______ + (-1) = 22
b. ____ + 12 = -20
c. -22 + ____ = 0
d. -123 + ___ = 1
e. ____+ (-21) = 50
4. Solve the following -
a. -22+13-45
b. -131+56-84
c. 95-85+2
d. -99-45+152
e. -444+1000-566
5. Write the additive inverse of the following -
a. -1
b. 1
c. ⅔
d. 3.13
e. 0
6. Solve the following -

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a. -88464+46484
b. 84646-746846
c. -48468464+64684
d. -746468+6846+7646
e. 684461-686468+65464
7. Fill in the blanks -
a. _____ x (-20) = -180
b. ____ x (10)= -120
c. _____x (23)= -23
d. 100 x ____ = -5500
e. 21 x ____ = 0
8. Write 3 integers greater than -12.
9. Write 3 integers smaller than -12.
10. Using the table below, answer the questions that follow -
Sl no. Place Temperature (degree Celsius)
2018 2019
1. Himachal -12 -21
2. Mathura -23 30
3. Coorg -14 -21
a. What is the difference in temperature at Himachal and Coorg in 2018?
b. What is the temperature difference in Himachal in the years 2018 and
2019?
c. How much temperature dropped when compared between the
temperature of Himachal in 2018 and the temperature of Coorg in 2019

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d. According to the table, which is the coldest place and in which year?
e. According to the table, which is the hottest place and in which year?
Answer
1. Arrange the following in ascending order
Ans.
a. -12,-1,0,1,12,32
b. -12,-11,1,21,32
c. -331,-313,229,292
d. -32,-21,0,1,2,21
2. Arrange the following in descending order
Ans.
a. 32,12,1,0,-1,-12
b. 32,21,1,-11,-12
c. 292,229,-313,-331
d. 21,2,1,0,-21,-32
3. Fill in the blanks
Ans.
a. 23
b. -32
c. 22
d. 124
e. 71
4. Solve the following
Ans.
a. -54
b. -159
c. 12
d. 8
e. -10
5. Write the additive inverse of the following:

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Ans.
a. 1
b. -1
c. - ⅔
d. -3.13
e. 0
6. Solve the following
Ans.
a. -41980
b. -662200
c. -48403780
d. -731976
e. 63457
7. Fill in the blanks
Ans.
a. 9
b. -12
c. -1
d. -55
e. 0
8. Write 3 integers greater than -12.
Ans. -11, 0, 1
9. Write 3 integers smaller than -12.
Ans. -13, -122, -100
10. Using the table below answer the following questions -
Ans.
a. 2°C
b. -9°C
c. 9°C
d. Mathura in 2018
e. Mathura in 2019

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