Practice the questions given in the worksheet on integers and the number line. The questions are based on integers and how to find the integers using a number line.
I. Using the following number line, fill in the blanks:
(i) An integer, on the given number line, is ___________ than every number on its left
(ii) An integer, on the given number line, is greater than every number on its ___________.
(iii) 4 is greater than 4 implies 4 is on the ___________ of 4.
(iv) 5 is ___________ than 3 and 7 is ___________ than 5.
(v) 6 is ___________ than 10 and 3 is ___________ than 9.
(vi) 8 is ___________ than 0 and 6 is ___________ than 1.
(vii) 7 is ___________ than 6 and opposite of 4 is
___________ than opposite of 9.
(viii) 12 is ___________ than 8 and 10 is ___________ than opposite of 5.
(ix) If +15 represents gain of $15; then +45 represents ___________; and 75 represents ___________.
(x) If 30 m below sea level is represented by 30; then 95 represents ___________; and +450 represents ___________.
(xi) If fall in temperature by 15° C is denoted by +15, then 115 denotes ___________; and +47 denotes ___________.
(xii) Absolute value of +24 is ___________ and absolute value of 35 is ___________.
(xiii) 11 = ___________, +11 = ___________ and  11 = ___________.
(xiv) If absolute value of a number = the number itself; then the number is ___________ or ___________
(xv) The opposite of +46 is ___________ and that of 88 is ___________
II. Find the integer, using the number line, which is:
(i) 5 more than 3
(ii) 9 less than 4
(iii) 12 more than 4
(iv) 8 less than 3
(v) 7 less than 0
(vi) 4 less than 6
III. State whether the statements are true or false:
(i) The smallest integer is 0.
(ii) The opposite of 17 is 17
(iii) The opposite of zero is zero.
(iv) Every negative integer is smaller than 0.
(v) 0 is greater than every positive integer.
(vi) Since, zero is neither negative nor positive; it is not an integer.
Answers for the worksheet on integers and the number line are given below to check the exact answers of the above questions using number line.
Answers:
I. (i) greater
(ii) left
(iii) right
(iv) less; greater
(v) greater; less
(vi) greater; less
(vii) less; less
(viii) less; less
(ix) gain of $45; loss of $75
(x) 95 m below sealevel; 450 m above sealevel
(xi) rise in temperature by 115° C; fall in temperature by 47° C
(xii) 24 and 35
(xiii) 11, 11 and 11
(xiv) positive or zero
(xv) 46; +88
II. (i) 8
(ii) 5
(iii) 8
(iv) 5
(v) 7
(vi) 10
III. (i) False
(ii) True
(iii) True
(iv) True
(v) False
(vi) False
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