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Worksheet on Ordering Integers

Practice the questions given in the worksheet on ordering integers. We know, an integer on a number line is always greater than every integer on its left and lesser than every integer on its right. The questions are based on comparing the integers, arranging the integers in ascending order and arranging the integers in descending order.

I. In each of the following pairs, state which integer is greater:

(i) -5, -7

(ii) -7, 5

(iii) 0, 8

(iv) 0, -3

(v) 27, -315

(vi) -37, -25

(vii) -15, 0

(viii) -1, -53

II. In each of the following pairs, state which integer is smaller:

(i) 0, -4

(ii) 2, -35

(iii) 15, -51

(iv) 13, 0

(v) -6, 3

(vi) 12, 23

(vii) -3, 0

(viii) -19, -1

III. Fill in the blanks by < or > to make the statement true:

(i) 3 _____ 0

(ii) 0 _____ -8

(iii) -9 _____ -3

(iv) -3 _____ 3

(v) 5 _____ -1

(vi) -13 _____ 0

(vii) -8 _____ -18

(viii) 516 _____ -316

IV. In each case, arrange the given integers in ascending order:

(i) -8, 0, -5, 5, 4, -1

(ii) 3, -3, 4, -7, 0, -6, 2

(iii) -1, -7, 8, -3, 0, 3, 17

(iv) 15, 19, -10, -7, 6, -6


V. 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


VI. State whether the following are true or false:

(i) - 4 > - 2

(ii) - 99 > - 9

(iii) - 1000 > - 10000

(iv) - 599 > - 600


VII. Replace with < or to make the statement true:

(i) 90  ✸  - 83

(ii) - 45  ✸  - 19

(iii) -125  ✸  250

(iv) 223  ✸  290


VIII. Look at the numbers marked by dots '•' and fill in the blanks.

Fill in The Blanks Comparing and Ordering Integers

IX. Write the following integers in increasing order.

(i) -9, -5, 17, 0, 6, 7, 9, -26

(ii) 15, 11, -63, -29, -5, 5, 8, 6


X. Write the following integers in decreasing order.

(i) 7, 3, -7, -2, 4, 0, -19

(ii) -70, -8, -6, 0, 42, -1, 9


XI. The temperature on Sunday in Manali was 12°C, on Monday it was 0°C and on Monday it was -4°C. Of these days, which was the coldest day? Which day had a highest temperature?


Answers for the worksheet on ordering integers are given below to check the exact answers of the above questions on finding the greater and smaller integers.


Answers:

I. (i) -5

(ii) 5

(iii) 8

(iv) 0

(v) 27

(vi) -25

(vii) 0

(viii) -1


II. (i) -4

(ii) -35

(iii) -51

(iv) 0

(v) -6

(vi) 12

(vii) -3

(viii) -19

III. (i) >

(ii) >

(iii) <

(iv) <

(v) >

(vi) <

(vii)  >

(viii) >

IV. (i) -8, -5, -1, 0, 4, 5

(ii) -7, -6, -3, 0, 2, 3, 4

(iii) -7, -3, -1, 0, 3, 8, 17

(iv) -10, -7, -6, 6, 15, 19


V. (i) 15, 8, 0, -2, -3, -5

(ii) 23, 12, 7, 6, 0, -11

(iii) 12, 11, 5, -1, -21, -31

(iv) 98, 56, 4, 0, -35, -53


VI. (i) False

(ii) False

(iii) True

(iv) True


VII. (i) > 

(ii) <

(iii) >

(iv) <


VIII. (i) -70 < -20 

(ii) -400 < 0

(iii) -15 < 0

(iv) -8 < -2


IX. (i) -26, -9, -5, 0, 6, 7, 9, 17

(ii) -63, -29, -5, 5, 6, 8, 11, 15


X. (i) 7, 4, 3, 0, -2, -7, -19

(ii) 42, 9, 0, -1, -6, -8, -70


XI. Tuesday; Sunday


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