Worksheet on Ordering Integers

Worksheet on Ordering Integers | Comparing and Ordering Integers Worksheet

Ordering Integers Worksheets has various activities to arrange integers in increasing, decreasing order, comparing integers, etc. Ample Exercises provided will give you enough practice and takes your preparation to the next level. 6th Grade Math Students can download these printable comparing and ordering worksheets for free and ace up their preparation. The best way to become proficient in the topic of ordering integers is to practice the questions on a regular basis.

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Ordering Integers Worksheet with Answer Key

I. In each of the following pairs, State which integer is greater:
(i) -2, -5
(ii) -8, 5
(iii) 0, 9
(iv) 0, -4
(v) 13, -318
(vi) -27, -23
(vii) -10, 0
(viii) -1, -30

Solution:

(i) -2 is the right of the number -5 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore,-2 is greater than -5.
(ii) 5 is the right of the number -8 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore, 5 is greater than -8.
(iii)9 is the right of the number 0 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore, 9 is greater than 0.
(iv) 0 is the right of the number -4 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore, 0 is greater than -4.
(v) 13 is the right of the number -318 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore,13 is greater than -318.
(vi)-23 is the right of the number -27 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore,-23 is greater than -27.
(vii) 0 is the right of the number -10 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore, 0 is greater than -10.
(viii) -1 is the right of the number -30 on the number line.
As you move right of the number line, the integer gets larger in value.
Therefore, -1 is greater than -30.


II. In each case, arrange the given integers in ascending order:
(i) -6, 0, -7, 7, 3, -1, 8.
(ii) 2, -2, 5, -8, 0, -6, 3
(iii) -2, -5, 9, -1, 0, 8, 15
(iv) 12, 15, -10, -5, 9, -6, 17
(v) 4, -5, 0, 7, 8, -3, 6
(vi) 7, -3, 5, 2,-4, -6
(vii) 3, -1, 0, -5, 7, 9, 8

Solution:

(i) The given integers in ascending order are -7,-6, -1, 0, 3, 7,8.
(ii) The given integers in ascending order are -8, -6, -2, 0,2, 3, 5.
(iii) The given integers in ascending order are -5,-2, -1, 0, 8, 9, 15.
(iv) The given integers in ascending order are -10, -6, -5, 9,12, 15, 17
(v) The given integers in ascending order are -5, -3, 0, 4, 6, 7, 8
(vi) The given integers in ascending order are -6, -4, -3, 2, 5, 7
(vii) The given integers in ascending order are -5, -1, 0, 3, 7, 8, 9.


III. In each case, arrange the given integers in descending order:
(i) -5, -3, 8, 15, 0, -2
(ii) 12, 23, -11, 0, 7, 6
(iii) -1, -21, -31, 12, 5, 11
(iv) 56, -35, 98, -53, 4, 0
(v) 25, -15, 58, 68, -34, -45
(vi) 33, -25, -17, 19, 38, -28
(vii) 28, 35, -14, 47, -56, -39

Solution:

(i) The given integers in descending order are 15, 8, 0, -2, -3, -5.
(ii) The given integers in descending order are 23, 12, 7, 6, 0, -11.
(iii) The given integers in descending order are 12, 11, 5, -1, -21, -31.
(iv) The given integers in descending order are 98, 56, 4, 0, -35, -53.
(v) The given integers in descending order are 68, 58, 25, -15, -34, -45.
(vi) The given integers in descending order are 38, 33, 19, -17, -25, -28.
(vii) The given integers in descending order are 47, 35, 28, -14, -39, -56.


IV. Fill in the blanks by < or > to make the statement true:
(i) 4 _____ 0
(ii) 0 _____ -6
(iii) -8 _____ -4
(iv) -4 _____ 4
(v) -6 _____ 9

Answers:

(i) >
(ii) >
(iii) <
(iv) <
(v) <


V. In each of the following pairs, state which integer is smaller:
(i) 0, -3
(ii) 5, -38
(iii) 20, -35
(iv) 33, 0
(v) -8, 4

Solution:

(i) -3 is smaller than 0.
(ii) -38 is smaller than 5.
(iii) -35 is smaller than 20.
(iv) 0 is smaller than 33.
(v) -8 is smaller than 4.


VI. Match the following
a) 5 _____ -5          i) less than
b) -7 _____ -6        ii) greater than
C) -4 _____ -4        iii) Equals to

Solution:

a) greater than
b) less than
c) Equal to


VII. Write two integers that are greater than -5 but their sum is smaller than -5?

Solution:

The two integers greater than -5 are -6, -7.
Their sum=-6 +(-7)=-6-7=-13
-13 is smaller than -5.


VIII. A meteorologist recorded temperatures in five districts in the A.P. List these cities in order from least to greatest according to their temperatures.

Districts Temperatures
Guntur -10
Krishna -14
Prakasam -18
East Godavari 6
West Godavari -9
Solution:

Since the temperatures are given as integers, use the number line.
As we move to the right of the number line, the integer gets larger in value. As we move to the left, the integer gets smaller in value.
number line
The cities in order from least to greatest are given below

Districts Temperatures
Prakasam -18
Krishna -14
Guntur -10
West Godavari -9
East Godavari 6

IX. Rakesh is comparing the temperatures of three days in December.
The temperatures on Friday and Saturday were opposites.
The temperature on Thursday was neither positive nor negative.
The temperature dropped below zero on Saturday. Write the 3 days
in order from the highest to the lowest temperature.

Solution:

Given,
Friday and Saturday were opposites and Saturday dropped below zero.so Friday had the highest temperature.
Thursday wasn’t positive or negative so it would be exactly zero.
Saturday dropped below zero so it had the lowest temperature.
Hence, the order would be
Friday
Thursday
Saturday


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