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 sea-level; 450 m above sea-level

(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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