PSEB Class 6 Maths Chapter 4 Integers Questions and Answers Solution
PSEB Punjab Board Class 6 Maths Textbook Solution Chapter 4 Integers Exercise Questions and Answers. We have also included some Additional questions, so that students can prepare more strongly.
Exercise 4.1
1.) Write two examples from day to day life in which we can use positive and negative integers.
ANSWER:
We have to write two examples from day to day life in which we can use positive and negative integers.
1.) Our body temperature is +370C
2.) A withdrawal of ₹10000 from bank account.
2.) Write the opposite of the following:
(a) A profit of 500
ANSWER:
We write opposite statement of given statement.
A loss of ₹500
(b) A withdrawal of ₹70 from bank account.
ANSWER:
We write opposite statement of given statement.
Deposit of ₹70 in bank account
(c) A deposit of ₹1000
ANSWER:
We write opposite statement of given statement.
Withdrawal of ₹1000
(d)326 B.C
ANSWER:
We write opposite statement of given statement.
326 AD
(e) 500m below Sea level
ANSWER:
We write opposite statement of given statement.
500m above sea level
(f) 25° above 0°C
ANSWER:
We write opposite statement of given statement.
25° below 0°C
3.) Represent the situations mentioned in Q2 in integers.
ANSWER:
We have to represent givensituations in integers.
(a) A profit of 500 = +500
(b) A withdrawal of ₹70 from bank account. = -70
(c) A deposit of ₹1000 = +1000
(d) 326 B.C = -326
(e) 500m below Sea level = -500m
(f) 25° above 0°C = +25
4.) Represent the following situations in Integers.
(a) A deposit of 500.
ANSWER:
We have to represent given situations in integers.
A deposit of 500. = +500
(b) An Aeroplane is flying at a height two thousand metre above the sea level.
ANSWER:
We have to represent given situations in integers.
An Aeroplane is flying at a height two thousand metre above the sea level. =+2000
(c) A withdrawal of ₹700 from Bank Account.
ANSWER:
We have to represent given situations in integers.
A withdrawal of ₹700 from Bank Account. =-700
(d) A diver dives to a depth of 6 feet below ground level.
ANSWER:
We have to represent given situations in integers.
A diver dives to a depth of 6 feet below ground level. = -6
5.) Represent the following numbers on number line.
(a) -5
ANSWER:
We have to represent -5on number line.
(b) +6
ANSWER:
We have to represent +6 on number line.
(c) 0
ANSWER:
We have to represent 0 on number line.
(d) +1
ANSWER:
We have to represent +1 on number line.
(e) -9
ANSWER:
We have to represent -9 on number line.
(f) -4
ANSWER:
We have to represent -4 on number line.
(g) +8
ANSWER:
We have to represent +8 on number line.
(h) +3
ANSWER:
We have to represent +3 on number line.
6.) Integers are represented on a horizontal number line as shown where A represents -2. With reference to the number line, answer the following questions:
(a) Which point represent -3?
ANSWER:
Point Brepresent -3
(b) Locate the point which represents the opposite of B and name it P.
ANSWER:
The opposite ofpoint B = +3
(c) Write integers for the points C and E.
ANSWER:
Integers for the point C =-7
Integers for the point E = +4
(d) Which point marked on the number line has the least value?
ANSWER:
Point Con the number line has the least value.
Point C = -7
7.) In each of the following pairs, which number is to the right of other on the number line?
(a) 2, 9
ANSWER:
We have to show from 2, 9 which number is to the right of other on the number line.
9 is to the right of other on the number line.
(b) -3,-8
ANSWER:
We have to show from -3,-8which number is to the right of other on the number line.
-3 is to the right of other on the number line.
(c) 0,-5
ANSWER:
We have to show from 0,-5which number is to the right of other on the number line.
0 is to the right of other on the number line.
(d) -11, 10
ANSWER:
We have to show from -11, 10 which number is to the right of other on the number line.
10is to the right of other on the number line.
(e) -9,9
ANSWER:
We have to show from -9, 9which number is to the right of other on the number line.
9 is to the right of other on the number line.
(f) 2,-200
ANSWER:
We have to show from 2,-200 which number is to the right of other on the number line.
2 is to the right of other on the number line.
8.) Write all the integers between the given pairs (write them in increasing order)
(a) 0 and-6
ANSWER:
We have to write all the integers between 0 and -6
All the integers between 0 and -6 = -5, -4, -3, -2, -1
(b) -6 and +6
ANSWER:
We have to write all the integers between -6 and +6
All the integers between -6 and +6 = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
(c) -9 and-17
ANSWER:
We have to write all the integers between -9 and -17
All the integers between -9 and -17 = -16, -15, -14, -13, -12, -11, -10
(d) -19 and-5
ANSWER:
We have to write all the integers between -19 and -5
All the integers between -19 and -5 = -18,-17, -16, -15, -14, -13, -12, -11, -10, -9,-8,-7,-6
9.) (a) Write five negative integers greater than ‘-15’.
ANSWER:
We have to write five negative integers greater than ‘-15’
Five negative integers greater than ‘-15’ = -14, -13, -12, -11, -10
(b) Write five integers smaller than ‘-20’.
ANSWER:
We have to write five integers smaller than ‘-20’
Five integers smaller than ‘-20’ = -21,-22,-23,-24,-25
(c) Write five integers greater than 0.
ANSWER:
We have to write five integers greater than 0.
Five integers greater than 0 = 2, 4, 6,8,10
(d) Write five integers smaller than 0.
ANSWER:
We have to write five integers smaller than 0.
Five integers smaller than 0 = -14, -13, -12, -11, -10, -9
10.) Encircle the greater integer in each given pair.
(a) -5,-7
ANSWER:
We have to find greater integer in each given pair.
Greater integer in -5,-7 = -5
(b) 0,-3
ANSWER:
We have to find greater integer in each given pair.
Greater integer in 0,-3 = 0
(c) 5, 7
ANSWER:
We have to find greater integer in each given pair.
Greater integer in 5,7 = 7
(d) -9, 0
ANSWER:
We have to find greater integer in each given pair.
Greater integer in -9, 0 = 0
(e) -9,-11
ANSWER:
We have to find greater integer in each given pair.
Greater integer in -9, -11= -9
(f) 14,4
ANSWER:
We have to find greater integer in each given pair.
Greater integer in14, 4 = 14
(g) -10, -100
ANSWER:
We have to find greater integer in each given pair.
Greater integer in -10, -100 = -10
(h) 10, 100
ANSWER:
We have to find greater integer in each given pair.
Greater integer in 10, 100 = 100
11.) Arrange the following integers in ascending order:
(a) 0, -7, -9, 5, -3, 2, 4
ANSWER:
We have to arrange 0, -7, -9, 5, -3, 2, and 4 in ascending order:
Ascending order:-9, -7, -4, -3, 0, 2, 5
(b) 8, -3, 7, 0, -9, -6
ANSWER:
We have to arrange 8, -3, 7, 0, -9, and 6 in ascending order:
Ascending order: -9, -6, -3, 0, 7, 8
12.) Arrange the following integers in descending order:
(a) -9, 3, 4, 6, 8, -3
ANSWER:
We have to arrange -9, 3, 4, 6, 8, and 3 in descending order:
Descending order:8, 4, 3, -3, -6, -9
(b) 4, 8,-3,-2, 5, 0
ANSWER:
We have to arrange 4, 8,-3,-2, 5, and 0 in descending order:
Descending order:8, 5, 4, 0,-2,-3
Exercise 4.2
1.) Using number line write the integer which is
(a) 5 less than -1
ANSWER:
We have to write integer which is 5 less than -1
Integer which is 5 less than -1 = -6
(b) 5 more than -5
ANSWER:
We have to write integer which is 5 more than -5
Integer which is 5 more than -5 = 0
(c) 2 less than 5
ANSWER:
We have to write integer which is 2 less than 5
Integer which is 2 less than 5 = 3
(d) 3 less than -2
ANSWER:
We have to write integer which is 3 less than -2
Integer which is 3 less than -2 = -5
2.) Using number line, add the following integers:
(a) 9+(-3)
ANSWER:
We have to add 9+ (-3)
9+ (-3) = 9 -3 = 6
(b) 5+(-11)
ANSWER:
We have to add 5+ (-11)
5+ (-11) = 5 – 11 = -6
(c) (- 1) + (- 4)
ANSWER:
We have to add (- 1) + (- 4)
(- 1) + (- 4) = -5
(d) (-5)+12
ANSWER:
We have to add (-5) + 12
(-5) + 12 = -5 + 12 = 7
(e) (- 1) + (- 2) + (- 4)
ANSWER:
We have to add (- 1) + (- 2) + (- 4)
(- 1) + (- 2) + (- 4) = -7
(f) (- 2) + 4 + (- 5)
ANSWER:
We have to add (- 2) + 4 + (- 5)
(- 2) + 4 + (- 5) = -7 + 4 = -3
(g) (- 3) + (5) + (- 4)
ANSWER:
We have to add (- 3) + (5) + (- 4)
(- 3) + (5) + (- 4) = -7 + 5 = -2
3.) Add without using number line:
(a) 18+13
ANSWER:
We have to add 18+13
18+13 = 31
(b) 18+(-13)
ANSWER:
We have to add 18+(-13)
18+ (-13) = 18 -13 = 5
(c) (-18) +13
ANSWER:
We have to add (-18) +13
-18 +13 = -5
(d) (- 18) + (- 13)
ANSWER:
We have to add (- 18) + (- 13)
(- 18) + (- 13) = -31
(e) 180+(-200)
ANSWER:
We have to add 180 + (-200)
180 + (-200) = 180 -200 = -20
(f) 777+ (-67)
ANSWER:
We have to add 777+ (-67)
777+ (-67) = 777- 67 = 710
(g) 1262 + (- 366) + (- 962)
ANSWER:
We have to add 1262 + (- 366) + (- 962)
1262 – 366 – 962 = -66
(h) 30 + (- 27) + 21 + (- 19) + (- 3) + (11) + (- 9)
ANSWER:
We have to add 30 + (- 27) + 21 + (- 19) + (- 3) + (11) + (- 9)
30 – 27 + 21 – 19 – 3 + 11 – 9 = 4
(i) (- 7) + (- 9) + 4 + 16
ANSWER:
We have to add (- 7) + (- 9) + 4 + 16
(- 7) + (- 9) + 4 + 16 =
– 7 – 9 + 4 + 16 = 4
(j) 37 + (- 2) + (- 65) + (- 8)
ANSWER:
We have to add 37 + (- 2) + (- 65) + (- 8)
37 + (- 2) + (- 65) + (- 8) = 37 – 2 – 65 – 8 = -38
4.) Write the successor and predecessor of the following:
(a) -15
ANSWER:
We have to write successor and predecessor of the -15
Successor of the -15 = -14
Predecessor of the -15 = -16
(b) 27
ANSWER:
We have to write successor and predecessor of the 27
Successor of the 27 = 28
Predecessor of the 27 = 26
(c) -79
ANSWER:
We have to write successor and predecessor of the -79
Successor of the -79 = -78
Predecessor of the -79 = -80
(d) 0
ANSWER:
We have to write successor and predecessor of the 0
Successor of the 0 = 1
Predecessor of the 0 = -1
(e) 29
ANSWER:
We have to write successor and predecessor of the 29
Successor of the 29 = 30
Predecessor of the 29 = 28
(f) -18
ANSWER:
We have to write successor and predecessor of the -18
Successor of the -18 = -17
Predecessor of the -18 = -19
(g) -21
ANSWER:
We have to write successor and predecessor of the -21
Successor of the -21 = -20
Predecessor of the -21 = -22
(h) 99
ANSWER:
We have to write successor and predecessor of the 99
Successor of the 99 = 98
Predecessor of the 99 = 100
(i) -1
ANSWER:
We have to write successor and predecessor of the -1
Successor of the -1 = 0
Predecessor of the -1 = -2
(j) -13
ANSWER:
We have to write successor and predecessor of the -13
Successor of the -13 = -12
Predecessor of the -13 = -14
5.) Complete the following addition table:
ANSWER:
We have fill addition in table.
Exercise 4.3
1.) Fill the suitable integer in box:
(a) 2+ — = 0
ANSWER:
2+ — = 0
— = -2
(b) — +11=0
ANSWER:
— +11=0
— = -11
(c) -5+ — = 0
ANSWER:
-5+ — = 0
— = 5
(d) –+ (-9) = 0
ANSWER:
— + (-9) = 0
— – 9 = 0
— = 9
(e) 3 + — = 0
ANSWER:
3 + — = 0
— = -3
(f)– +0=0
ANSWER:
— + 0 = 0
— = 0
2.) Subtract using number line:
(a) 5 from-7
ANSWER:
We have to subtract 5 from -7
-7 – 5 = -12
(b) -3 from-6
ANSWER:
We have to subtract -3 from -6
-6 – (-3) = -6 + 3
-6 + 3 = -3
(c) -2 from 8
ANSWER:
We have to subtract -2 from 8
8 – (-2) = 8 + 2 = 10
(d) 3 from 9
ANSWER:
We have to subtract 3 from 9
9 – 3 = 6
3.) Subtract without using number line:
(a) -6 from 16
ANSWER:
We have to subtract -6 from 16
16 – (-6)
= 16 + 6 = 22
(b) -51 from 55
ANSWER:
We have to subtract -51 from 55
55 – (-51)
55 + 51 = 106
(c) 75 from-10
ANSWER:
We have to subtract 75 from-10
-10 – 75 = -85
(d) -31 from-47
ANSWER:
We have to subtract -31 from -47
-47 – (-31)
= -47 + 31 = -16
4.) Find:
(a) 35-(20)
ANSWER:
We have to find 35-(20)
35- 20 = 15
(b) (-20)-(13)
ANSWER:
We have to find (-20)-(13)
-20-13 = -33
(c) (-15)-(-18)
ANSWER:
We have to find (-15)-(-18)
(-15) +18 = 3
(d) 72-(90)
ANSWER:
We have to find 72-(90)
72- 90 = -18
(e) 23-(-12)
ANSWER:
We have to find 23-(-12)
23 + 12 = 35
(f) (-32)-(40)
ANSWER:
We have to find (-32)-(40)
-32 -40 = -72
5.) Simplify.
(a) 2-4+6-8-10
ANSWER:
We have to simplify 2-4+6-8-10.
We 1st add positive integers and then we add negative integers.
2-4+6-8-10 = (2 + 6) – 4 – 8 -10
8 – 22 = -14
2-4+6-8-10 = -14
(b) 4-2-2-4-2+2
ANSWER:
We have to simplify 4-2-2-4-2+2
We 1st add positive integers and then we add negative integers.
4-2-2-4-2+2 = (4+2) – 2 – 2 – 4 – 2
6 – 10
4-2-2-4-2+2 = – 4
(c) 4-(-9) + 7-(-3)
ANSWER:
We have to simplify 4-(-9) + 7-(-3)
We 1st add positive integers and then we add negative integers.
4-(-9) + 7-(-3) = 4 + 9 + 7 + 3
4 + 9 + 7 + 3 = 13 + 10
4-(-9) + 7-(-3) = 23
(d) (-7)+(-19)+(-7)
ANSWER:
We have to simplify (-7) + (-19) + (-7)
We 1st add positive integers and then we add negative integers.
(-7) + (-19) + (-7)
= -7 -19 -7
(-7) + (-19) + (-7) = -33
Multiple Choice Questions
1.) How many integers are between -3 to 3?
(a) 5
(b) 6
(c) 4
(d) 3
ANSWER:(a) 5
2.) Which of the following integer is greater than -3?
(a) -5
(b) -4
(c) 0
(d) -10
ANSWER:(c) 0
3.) Which of the following integers are in ascending order?
(a) -5, -9, -7, -8
(c) -5, -7,-8,-9
(b)-9, -8, -7, -5
(d)-8,-5,-9,-7
ANSWER:(c) -5, -7,-8,-9
4.) Which of the following integers are in descending order?
(a) 3, 0, -2, -5
(b) -5, -2, 0, 3
(d)-2, 0, -5, 3
(c) -5, 3, -2, 0
ANSWER:(a) 3, 0, -2, -5
5.) The given number line represents:
(a) 5+1
(b) 1+5
(c) 1+1+1+1+1
(d) 5+5+5+5+5
ANSWER:(c) 1+1+1+1+1
6.) 3 less than -2 =
(a) -5
(b) -6
(c) 5
(d) 6
ANSWER:(a) -5
7.) (-2)+8=
(a) -6
(b)-10
(c) 10
(d) 6
ANSWER:(d) 6
8.) Which of the following statements is true about the given number line.
(a) Value of A is greater than value of B.
(b) Value of A is greater than value of C.
(c) Value of B is less than value of C.
(d) Value of C is less than value of B.
ANSWER:(c) Value of B is less than value of C.
9.) (-7) + (-12) + 11 =
(a) -19
(b) 30
(c)-23
(d) -8
ANSWER:(d) -8
10.) 15 – (-12) + (-27) =
(a) 0
(b) -54
(c)-24
(d) 54
ANSWER:(a) 0