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. Circle the integers in the given numbers:**

\(\frac{1}{5}\); 8; \(\frac{37}{49}\); -7; \(\frac{7}{19}\); 0; -\(\frac{1}{2}\); -1; 900; \(\frac{10}{99}\); -256; 1000; 1

**II. 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) -5 is a …………… integer.

(iv) Zero is neither …………… nor negative integer.

(v) -7 will be written to the …………… of zero.

(vi) 4 is greater than -4 implies 4 is on the ___________ of -4.

(vii) -5 is ___________ than 3 and 7 is ___________ than -5.

(viii) -6 is ___________ than -10 and 3 is ___________ than 9.

(ix) 8 is ___________ than 0 and -6 is ___________ than -1.

(x) -7 is ___________ than 6 and opposite of -4 is
___________ than opposite of -9.

(xi) -12 is ___________ than -8 and -10 is ___________ than opposite of 5.

(xii) If +15 represents gain of $15; then +45 represents ___________; and -75 represents ___________.

(xiii) If 30 m below sea level is represented by -30; then -95 represents ___________; and +450 represents ___________.

(xiv) If fall in temperature by 15° C is denoted by +15, then -115 denotes ___________; and +47 denotes ___________.

(xv) Absolute value of +24 is ___________ and absolute value of -35 is ___________.

(xvi) |-11| = ___________, |+11| = ___________ and - |-11| = ___________.

(xvii) If absolute value of a number = the number itself; then the number is ___________ or ___________

(xviii) The opposite of +46 is ___________ and that of -88 is ___________

**III. Express the given situation as positive or negative
integers:**

(i) Going 15^{th} floors above the ground.

(ii) Moving 30 m below sea level.

(iii) Withdrawing $6500 from a bank.

(iv) Going 2 floors above the ground.

(v) Flying 3500 km above the sea level.

**IV. 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

**V. Show the given integers on the number line:**

-8, 6, -4, 0, 1

**VI. Write all the integers between:**

(i) -2 and +5

(ii) -3 and +3

(iii) -12 and -7

(iv) -7 and -3

**VII. 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.

**VIII. Write the opposite integer of each number:**

(i) 6

(ii) 115

(iii) -682

(iv) -777

(v) -9

(vi) -54

(vii) 1000

(viii) 0

**IX. Draw a number line and answer the following questions:**

(i) Which number will we reach if we start from -4 and move 7 steps to the right?

(ii) Which number will we reach if we start from -1 and move 9 steps to the left?

(iii) Which number will we reach if we start from -9 and move 9 steps to the right?

**X. Write the next four integers in each of the following
sequences:**

(i) -12, -10, -8, -6, ……., ……., ……., …….

(ii) 15, 10, 5, ……., ……., ……., …….

(iii) -40, -30, -20, ……., ……., ……., …….

(iv) 9, 5, 1, ……., ……., ……., …….

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. **8; -7; 0; -1; 900; -256; 1000; 1

**II.** (i) greater

(ii) left

(iii) negative

(iv) positive

(v) left

(vi) right

(vii) less; greater

(viii) greater; less

(ix) greater; less

(x) less; less

(xi) less; less

(xii) gain of $45; loss of $75

(xiii) 95 m below sea-level; 450 m above sea-level

(xiv) rise in temperature by 115° C; fall in temperature by 47° C

(xv) 24 and 35

(xvi) 11, 11 and -11

(xvii) positive or zero

(xviii) -46; +88

**III.** (i) positive

(ii) negative

(iii) negative

(iv) positive

(v) positive

**IV.** (i) 8

(ii) -5

(iii) 8

(iv) -5

(v) -7

(vi) -10

**V.**

**VI.** (i) -1, 0, +1, +2, +3, +4

(ii) -2, -1, 0, +1, +2

(iii) -11, -10, -9, -8

(iv) -6, -5, -4

**VII.** (i) False

(ii) True

(iii) True

(iv) True

(v) False

(vi) False

**VIII.** (i) -6

(ii) -115

(iii) +682

(iv) +777

(v) +9

(vi) +54

(vii) -1000

(viii) 0

**IX.** (i) +3

(ii) -10

(iii) 0

**X.** (i) -4, -2, 0, +2

(ii) 0, -5, -10, -15

(iii) -10, 0, +10, +20

(iv) -3, -7, -11, -15

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