Worksheet on Integers and the Number Line

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

6th Grade Math Practice

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