CBSE Class 6 Mathematics Integers Worksheet Set 04

1. Fill in the blanks :-

i) The set of whole numbers andnegative numbers is called _________.

ii) Put the correct sign (>, <, =)

i) (-14) + (-6) __________ (-14) - (-6)

ii) 45 - (-11) _________ 57 + (-3)

iii) 16 + (-16) = ______.

iv) -5 + _______ = 0

2. Match the following :-

i) 4 + 3            a) -1

ii) -4 + 3          b) 7

iii) -4 - 3          c) 1

iv) 4 - 3           d) -7

3. MCQ

i) On subtracting -8 from 0, we get
a) 0
b) 8
c) -8
d) 5

ii) Additive inverse of -5 is
a) 5
b) -4
c) 0
d) None

iii) (-42) + (-35) is equal to
a) -7
b) -77
c) 77
d) 7

4. Solve :-
i) Write all the integers in ascending order between 0 & -6.
ii) Represent in integer form
i) A submarine is 500m below the sea level.
ii) Deposit of ₹1000 in your account
iii) Solve on the number line
i) (-5) + 2
ii) (-5) - (-10)

Choose the correct alternative –

1. Integers are _____
a. always positive numbers
b. always natural numbers
c. always negative numbers
d. Either positive or negative numbers.

2. If profit is a positive number, which of the following is a negative number?
a. Gain
b. Sum of negative and positive integers
c. Profit +loss
d. loss

3. Positive whole numbers are also called ____.
a. Negative integers
b. Positive integers
c. Natural integers
d. Whole numbers

4. Negative whole number like -1,-2,------ are called _______________.
a. Positive integers
b. Positive numbers
c. Negative integers
d. Negatives numbers

5. Which expression is correct?
a. -6 < -8
b. -6 = -8
c. -8 >-6
d. -6 > -8

6. Which one of the following is the largest number given?
a. 6
b. 9
c. -6
d. -10

7. Arrange 0,-2,9,3,-4,8 in ascending order.
a. 0,-2,3,-4,8,9
b. -4,-2,0,3,8,9
c. 8,9,3,-4,-2,0
d. 0,-2,3,-4,9,8

8. What are the integers between -2 and 5 ?
a. 0,-2,-3,-4,5
b. -2,1,2,3,4,5
c. -1,0,1,2,3,4
d. -1,2,3,4,5

1. Write the opposite of the following:

a) Spending Rs. 700 b) 2 years after c) going north

2. FILL in the blanks:

a) Sum of an integer and its additive inverse is always equal to ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐.

b) A negative integer is always _______than 0.

c) The _______integer is its own opposite/additive inverse.

3. Write the successor &predecessor of each of the following:

a) ‐35 b) ‐501 c)‐199 d)‐300

4. Fill in the blanks by appropriate symbol > or < :

a)‐14 __‐8 b)‐430 __‐330 c)‐10 __ 0

5. Write all integers between

a)‐5 &1 b)‐4 &4 c)‐5 & ‐11

6. Write the integer: a) 7 less than ‐2 b) 5 more than‐6

7. Find the sum:

a) 150 &‐125 b)‐1, 36 & ‐95 c) – 1020, ‐327 & 890 d) 125 & ‐215

8. Subtract:

a) ‐832 from237 b) 19 from ‐19 c)‐15 from ‐25

9. Find the value:

a) ‐16 – (‐14) +25 b)‐21 + (‐9 ) + 53 + (‐33 ) – (‐ 14 )

c) ‐30 + (‐ 120) ‐ (‐150) + ( ‐ 150 ) – 300

10. From the sum of ‐15 and ‐ 54, subtract – 63

11. Raju deposited Rs.5500 in his account on Monday & the withdraw Rs.3850 on Tuesday .Next week he again deposited Rs.1285. What was his balance in account?

Choose the correct option:-

Q1 The opposite of 10 km of north is
a) 20km north
b) 10km south
c) -10km south
d) None

Q2 The sum of two integers having negative sign is
a) Zero
b) Always negative
c) Always positive
d) Sometimes negative sometimes positive

Q3 Fill in the blank with correct symbol >,<,,=
(-25)-(-42) ___(-42)-(-25)
a) > b) < c) =

Q4 Using the number line, write the integer which is
a) 3 more than -1
b) 4 less than 2
c) 5 more than -2
d) 3 less than -2

Q5 Write four negative integers greater than -16.

Q6 Write five integers less than -5.

Q7 Draw a number line and answer the following
a) Which number will we reach if we move 3 steps to the right of -1?
b) If we are (-5) on the number line, in which direction should we move to reach 3 ?

Q8 Solve the following
a) (-19) + 19
b) (-24) + (-30 )
c) 280 + (-170)
d) 2 + (-30) + (-5) + 5
e) (-55) + (-11) + 6 + (-13)
f) (-24) - 58
g) (-7) - (-3) + 8
h) (-10) + 6 -13 + 6
i) 35 - (-16) + 19
j) 20 - (-13) + 11 - (-9)

Q9 Find the value of
a) l-5 -2l
b) - l9 - 4l
c) l – 11l - l3l
d) 15 + l -10 l

Q10 Give the additive inverse of
a) -62
b) – 7 +8
c) 100
d) - ( - 3 )

Q11 Using number line solve the following
a) ( -3 ) + ( -4 )
b) ( -6) + 4

Q12 Arrange each of the following in increasing order
a) 3, -7 , 10, -2, 1 , 0, -10
b) 0 , 2, -3, 5, -7, -1

Q13 Subtract the sum of 1280 and (- 675) from (-419)

Q14 The sum of two integers is 71, If one of the integer is (-145). Find the other.

Q15 Write all the integers between the given pairs (in increasing order)
(a) -3 and 0
(b) -4 and 2
( c) -5 and -1
(d) -50 and -35

Q16 Represent the following numbers as integers with appropriate signs:
(a) A gain of Rs. 2000.
(b) A loss of Rs. 500.
(c) 150c above 00c.
(d) 90c below 00c
(e) 100 Km. above sea level
(f) 5m. fall into a pit dug in the ground.

Q17 Calculate the sum : 2+(-2)+2+(-2)+2+(-2)+2__________
a) If the number of terms is 210.
b) If the number of terms is 115

I Fill in the blanks:

1. -5 + (-11) = ______________

2. 8 + (-6) = ____________

3. (-26) + (-37) = ___________

4. Write the greatest negative integer _____________

5. Write all integers between - 30 and -20 ___________

6. Find the sum of - 45 and 30

7. Which is greater : -65 or -56 ?

8. Which integer is neither positive nor negative ?

II. Draw a number line and answer the following :

1. Which number will we reach if we move 4 numbers to the right of -2 ?

2. If we are at -6 on the number line, in which direction should we move to reach -1 ?

3. Using the number line write the integer
a) 4 less than -1 2) 6 more than -6

4. Use number line and add the following integers :
a) (-1) + (-8) b) (-1) + (-2) + (-4) c) -8 - (-10)

5. Fill in the blanks with >, < or =

a) 54 - (-11) _________ 57 + (-4)

b) (-35) - (-52) _________ (-52) - (-35)

6. Find :
i) 60 - (-20) - (+10) ii) (-15) + 12 - 9 +1

I. ANSWER THE FOLLOWING:

1. Which is the smallest positive integer?

2. Which is the greatest negative integer?

3. Write absolute value of a) | – 13 | b) – | – 30 |

4. Which integer is neither positive nor negative?

5. Write the opposite of – 875.

6. Which is greater: – 41 or – 14 ?

7. Write the integer which is 5 more than – 5 .

8. Find ( – 19 ) + 9 .

9. Replace * by < or >
i) 3 * 3 ii) 0 * – 125

10. Subtract – 1140 from – 780.

II. ANSWER THE FOLLOWING:

1. Write all integers belween – 35 and – 31.

2. Sum of two integers is 1890. If one of them is – 412 . Find the other integer.

3. Fill the boxes with < or >
i) ( - 9 ) + ( - 6 ) ............. ( - 6 ) - ( - 9 )

4. Add i) - 2050        ii) 396       c) - 493
               + 687          -159          + 108

5. Simplify
i) – 37 + 28 – 6 + 23
ii) 1 - 3 + 5 – 7 + 9 – 11 + 13 – 17
iii) 0 + 2 – 4 + 6 – 8 + 10 – 12 + 14

6. Represent all integers belwees – 5 and + 3 on the number line.

7. Write the integer which is i) 3 more than – 2 (ii) 4 less than – 1
iii) – 2 more than – 5 iv) – 3 less than – 4
Show answers on number line.

8. Arrange in increasing and decreasing order.
i) – 12 , 0 , 7 , -9 , 8 , – 8 , –14
ii) – 3, 2, – 5 , 10 , 11 , – 15 , 6 , 25
ii) – 6 , 0 , – 5 , – 7 , 3, 4, – 16 , 8

9. Find the value of i) 9 – / – 7 / ii) – / – 15 / iii) 26 – / –10 / + / – 13 / iv) 4 + / – 4 / + 4 + / – 4 /

10. Draw a number line and answer the following:
a) Which number will we reach if we move 3 number to the left of – 5 .
b) If we are at + 3 in which direction should we move to reach – 10.

Negative Numbers and Integers

1. Draw a number line and represent the integers O, 2, +4, -3, -5 and 6

2. Write the absolute values of the following integers. 17, -8, 0, -16, 25 and -11

3. Write the additive inverse of the following integers. -17, 25, -101, 249, -2167 and 3190

4. Put > or < sign in the boxes.
i) (-7) + 12 - (-2) ................. (-6) -11 + (-3)
ii) 5 – (-16) + (-4)  ................. (-2) – (-7) + 6
iii) (-15) – (-7) + 13  ................. 4 + (-12) – (-3)
iv) 7 – 5 + (-21)  ................. 6 – 18 + (-5)

5. What should be added to the sum of (-26) and 31 to make it equal to the sum of (-35) and (-11)?

6. Which is greater? The sum of 72 and (-42) or the sum of (-65) and 96. By how much?

7. Subtract the sum of 32 and (-11) from the sum of 49 and (-53)

8. Evaluate :

i) (-40) + (-21) + (-16) vi) (-66) + (-22) +45 – (-33)

ii) 72 + (-16) + 40 + (-22) vii) 3000 + (-1000) - (-2000)

iii) 63 + (-24) + (-23) viii) 28 + (-50) - (-41) + (-100)

iv) 53 + (-42) – (-29) + (-11) ix) (-1001) – (-450) + (-750)

v) (-100) + 47 + (-29) + 16 x) (-16) + (-12) - (-21) + (-30) + 40

9. Write the next four integers of the following progressions:

+5, +8, +11, ____, ____, ____, ____.

-5, -9, -13, ____, ____, ____, ____.

-15, -25, -35, ____, ____, ____, ____.

-6, -3, 0, ____, ____, ____, ____.

-12, -5, 2, ____, ____, ____, ____.

10. Write the following integers in ascending order:
i) -8, 11, 14, 0, -7, -3, -1 ii) 15, -12, -6, -5, 8, 2, 0

Comparing Integers (A)

Compare the pairs of integers using \(<\), \(>\), or \(=\)

Question 1. Compare: 2 and 2
\(2 = 2\)
Answer: \(2 = 2\)
In simple words: Both numbers are equal.

Exam Tip: Any number is always equal to itself.

Question 2. Compare: -13 and 15
\(-13 < 15\)
Answer: \(-13 < 15\)
In simple words: Any negative number is always less than any positive number.

Exam Tip: Negative numbers lie to the left of zero on the number line, while positive numbers lie to the right.

Question 3. Compare: -2 and 6
\(-2 < 6\)
Answer: \(-2 < 6\)
In simple words: A negative integer is always smaller than a positive integer.

Question 4. Compare: 3 and -12
\(3 > -12\)
Answer: \(3 > -12\)
In simple words: Positive 3 is greater than negative 12.

Exam Tip: Compare the signs first; positive is always greater than negative.

Question 5. Compare: -8 and 8
\(-8 < 8\)
Answer: \(-8 < 8\)
In simple words: Negative 8 is less than positive 8.

Exam Tip: Opposites have the same magnitude, but the positive one is greater.

Question 6. Compare: 3 and -12
\(3 > -12\)
Answer: \(3 > -12\)
In simple words: Positive numbers are always greater than negative numbers.

Exam Tip: Check the sign of the numbers before comparing.

Question 7. Compare: -7 and -1
\(-7 < -1\)
Answer: \(-7 < -1\)
In simple words: Between two negative numbers, the one with the smaller absolute value is greater.

Exam Tip: For negative numbers, the number closer to zero is greater.

Question 8. Compare: -11 and 6
\(-11 < 6\)
Answer: \(-11 < 6\)
In simple words: Negative 11 is less than positive 6.

Exam Tip: Negative is always less than positive.

Question 9. Compare: 15 and 14
\(15 > 14\)
Answer: \(15 > 14\)
In simple words: 15 is greater than 14.

Exam Tip: For positive numbers, standard greater-than rules apply.

Question 10. Compare: -12 and 4
\(-12 < 4\)
Answer: \(-12 < 4\)
In simple words: Negative 12 is smaller than positive 4.

Exam Tip: Negative integers are always smaller than positive integers.

Question 11. Compare: 7 and 15
\(7 < 15\)
Answer: \(7 < 15\)
In simple words: 7 is less than 15.

Exam Tip: Compare digit values for positive numbers.

Question 12. Compare: -11 and 13
\(-11 < 13\)
Answer: \(-11 < 13\)
In simple words: Negative 11 is less than positive 13.

Exam Tip: Any negative number is less than any positive number.

Question 13. Compare: -14 and -6
\(-14 < -6\)
Exam Tip: With negative numbers, larger absolute value means smaller value.

Question 14. Compare: 14 and 10
\(14 > 10\)
Answer: \(14 > 10\)
In simple words: 14 is greater than 10.

Exam Tip: Standard positive number comparison.

Question 15. Compare: -3 and 6
\(-3 < 6\)
Answer: \(-3 < 6\)
In simple words: Negative 3 is less than positive 6.

Exam Tip: Negative is always less than positive.

Question 16. Compare: -11 and 7
\(-11 < 7\)
Answer: \(-11 < 7\)
In simple words: Negative 11 is less than positive 7.

Exam Tip: Always check signs first.

Question 17. Compare: 4 and 5
\(4 < 5\)
Answer: \(4 < 5\)
In simple words: 4 is less than 5.

Exam Tip: Basic counting numbers comparison.

Question 18. Compare: 5 and -9
\(5 > -9\)
Answer: \(5 > -9\)
In simple words: Positive 5 is greater than negative 9.

Exam Tip: Positive integers are always greater than negative integers.

Question 19. Compare: -14 and 4
\(-14 < 4\)
Answer: \(-14 < 4\)
In simple words: Negative 14 is less than positive 4.

Exam Tip: Negative numbers are smaller than positive numbers.

Question 20. Compare: 7 and -6
\(7 > -6\)
Answer: \(7 > -6\)
In simple words: Positive 7 is greater than negative 6.

Exam Tip: Positive numbers are always greater.

Question 21. Compare: 1 and -10
\(1 > -10\)
Answer: \(1 > -10\)
In simple words: Positive 1 is greater than negative 10.

Exam Tip: Positive is always greater than negative.

Question 22. Compare: 15 and 2
\(15 > 2\)
Answer: \(15 > 2\)
In simple words: 15 is greater than 2.

Question 23. Compare: 5 and 0
\(5 > 0\)
Answer: \(5 > 0\)
In simple words: Any positive number is greater than zero.

Exam Tip: Zero is greater than any negative number, but less than any positive number.

Question 24. Compare: 9 and -1
\(9 > -1\)
Answer: \(9 > -1\)
In simple words: Positive 9 is greater than negative 1.

Exam Tip: Positive numbers are always greater than negative numbers.

Question 25. Compare: -14 and -15
\(-14 > -15\)
Answer: \(-14 > -15\)
In simple words: -14 is closer to zero than -15, making it greater.

Exam Tip: With negative numbers, the smaller absolute value is the greater number.

Question 26. Compare: 2 and -3
\(2 > -3\)
Answer: \(2 > -3\)
In simple words: Positive 2 is greater than negative 3.

Exam Tip: Positive numbers are always greater than negative numbers.

Question 27. Compare: 12 and 1
\(12 > 1\)
Answer: \(12 > 1\)
In simple words: 12 is greater than 1.

Exam Tip: Standard positive number comparison.

Question 28. Compare: 7 and 9
\(7 < 9\)
Answer: \(7 < 9\)
In simple words: 7 is less than 9.

Exam Tip: Standard positive number comparison.

Question 29. Compare: 4 and -1
\(4 > -1\)
Answer: \(4 > -1\)
In simple words: Positive 4 is greater than negative 1.

Exam Tip: Positive is always greater than negative.

Question 30. Compare: 3 and -7
\(3 > -7\)
Answer: \(3 > -7\)
In simple words: Positive 3 is greater than negative 7.

Exam Tip: Positive numbers are greater than negative numbers.

Question 31. Compare: 15 and 12
\(15 > 12\)
Answer: \(15 > 12\)
In simple words: 15 is greater than 12.

Exam Tip: Standard positive number comparison.

Question 32. Compare: -6 and 8
\(-6 < 8\)
Answer: \(-6 < 8\)
In simple words: Negative 6 is less than positive 8.

Exam Tip: Negative numbers are always less than positive numbers.

Question 33. Compare: -12 and -6
\(-12 < -6\)
Answer: \(-12 < -6\)
In simple words: -12 is to the left of -6 on the number line.

Exam Tip: For negative numbers, larger absolute value means smaller value.

Question 34. Compare: -3 and -10
\(-3 > -10\)
Answer: \(-3 > -10\)
In simple words: -3 is closer to zero than -10, so it is greater.

Question 35. Compare: 14 and -15
\(14 > -15\)
Answer: \(14 > -15\)
In simple words: Positive 14 is greater than negative 15.

Exam Tip: Positive numbers are always greater than negative numbers.

Question 36. Compare: -13 and 11
\(-13 < 11\)
Answer: \(-13 < 11\)
In simple words: Negative 13 is less than positive 11.

Exam Tip: Negative numbers are smaller than positive numbers.

Question 37. Compare: 2 and -11
\(2 > -11\)
Answer: \(2 > -11\)
In simple words: Positive 2 is greater than negative 11.

Exam Tip: Positive is always greater than negative.

Question 38. Compare: 14 and 13
\(14 > 13\)
Answer: \(14 > 13\)
In simple words: 14 is greater than 13.

Exam Tip: Standard positive number comparison.

Question 39. Compare: 2 and -5
\(2 > -5\)
Answer: \(2 > -5\)
In simple words: Positive 2 is greater than negative 5.

Exam Tip: Positive numbers are always greater than negative numbers.

Question 40. Compare: 10 and -9
\(10 > -9\)
Answer: \(10 > -9\)
In simple words: Positive 10 is greater than negative 9.

Exam Tip: Positive is always greater than negative.