Worksheet on Integers and the Number Line

Worksheet on Integers and the Number Line | Integers on Number Line Worksheet PDF

Printable Worksheets on Integers and the Number Line have got various exercises that have problems on marking integers, adding, subtracting integers, filling the missing integers, comparing and ordering integers on a number line, etc. 6th Grade Math Students can Practice the Questions on Integers on Number Line Worksheet with Answers and get a grip on the concepts. The Problems can range from simple sums to associated word www.canadianpharmacy365.net problems. Solve the Plotting Integers on a Number Worksheet PDF and get an idea of the type of questions framed on the topic.

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Representing Integers on a Number Line Worksheet

I. Find the integer, using the number line, which is:
(i) 7 more than 2
(ii) 7 less than 4
(iii) 10 more than -3
(iv) 6 less than 2
(v) 5 less than 0
(vi) 3 less than -8

Solution:

number line
(i) 9
(ii) -3
(iii) 7
(iv) -4
(v) -5
(vi) -11


II. Show the given integers on the number line:
-5, 8, -3, 0, 2

Solution:

worksheet on integers and the number line


III. Write all the integers between:
(i) -3 and +6
(ii) -4 and +4
(iii) -15 and -8
(iv) -8 and -2

Solution:

(i) -2, -1, 0, 1, 2, 3, 4, 5
(ii) -3, -2, -1, 0, 1, 2, 3
(iii)-14, -13, -12, -11, -10, -9
(iv) -7, -6, -5, -4, -3


IV. State whether the statements are True or False:
(i) The smallest integer is 0.
(ii) The opposite of -21 is 21.
(iii) The opposite of zero is zero.
(iv) Every negative integer is greater than 0.
(v) 1 is greater than every positive integer.
(vi) zero is not an integer.

Solution:

(i) False
(ii) True
(iii) True
(iv) False
(v) False
(vi) False


V. Write the opposite integer of each number:
(i) 6
(ii) 115
(iii) -682
(iv) -777
(v) -9
(vi) -54
(vii) 1000
(viii) 0

Solution:

(i) -6
(ii) -115
(iii) 682
(iv) 777
(v) 9
(vi) 54
(vii) -1000
(viii) 0


VI. Draw a number line and answer the following questions:

(i) Which number will we reach if we start from -2 and move 6 steps to the right?
(ii) Which number will we reach if we start from -3 and move 7 steps to the left?
(iii) Which number will we reach if we start from -7 and move 8 steps to the right?

Solution:

number line
(i) 4
(ii) -10
(iii) 1


VII. Write the next four integers in each of the following sequences:
(i) -14, -12, -10, -8, ……., ……., ……., …….
(ii) 20, 15, 10, ……., ……., ……., …….
(iii) -80, -70, -60, ……., ……., ……., …….
(iv) 14, 10, 6, ……., ……., ……., …….

Solution:

(i) -6, -4, -2, 0
(ii) 5, 0, -5, -10
(iii) -50, -40, -30, -20
(iv) -3, -7, -11, -15
(iv) 2, 0, -2,-4


VIII. Find the integers in the given numbers:
\(\frac { 1 }{ 3 } \) ; 6; \(\frac { 31 }{ 43} \); -5; \(\frac { 7 }{ 15 } \); 0; \(\frac { -1 }{ 2 } \); -1; 700; \(\frac { 10 }{ 91 } \); -256; 1000; 1

Solution:

6,-5,0,-1,700, -256, 1000,1


IX. Express the given situation as positive or negative integers:
(i) Going 10th floor above the ground.
(ii) Moving 20 m below sea level.
(iii) Withdrawing Rs 15000 from a bank.
(iv) Going 3 floors above the ground.
(v) Flying 1200 km above sea level.

Solution:

(i) positive
(ii) negative
(iii) negative
(iv) positive
(v) positive


X. Fill in the blanks
i. Opposite of 5 is _____
ii. An integer on the number line, is lesser than any number on its _______
iii. Absolute value of +14 is _______ and absolute value of -10 is ______
iv. If 20 m below sea level is represented by -20; then -65 represents ___________; and +220 represents ___________.
v. If +85 represents gain of Rs 85; then +25 represents ___________; and -65 represents ___________.
vi. 7 is ___________ than 0 and -5 is ___________ than -2.
vii. -6 will be written to the …………… of zero.
viii. -2 is a …………… integer.
ix. |-10| = ___________, |+10| = ___________ and – |-10| = ___________.
x. If +18 represents depositing in the bank of Rs 18; then +89represents ___________; and -53 represents withdrawl; then -34 represents  ___________.
xi. -5 is ___________ than -8 and 4 is ___________ than 8.

Solution:

i. -5
ii. right
iii. 14, 10
iv. below the sea level , above the sea level
v. gain, loss
vi. greater than, lesser than
vii. left side
viii. negative
ix. 10, 10, -10
x. deposit, withdrawl
xi. greater, less


 

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