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Page 1
Chapter 3: Integers
PRACTICE SET 4 [PAGE 15]
Practice Set 4 | Q 1 | Page 15
Classify the following numbers as positive numbers and negative numbers.
–5, +4, –2, 7, +26, –49, –37, 19, –25, +8, 5, –4, –12, 27
SOLUTION
The negative numbers are -5, -2, -49, -37, -25, -4, -12
The positive numbers are +4, 7, +26, 19, +8, 5, 27
Practice Set 4 | Q 2 | Page 15
Given below are the temperatures in some cities. Write to them using the proper signs.
Place Shimla Leh Delhi Nagpur
Temperature 7°C above
0°
12°C above
0°
22°C above
0°
31°C above
0°
SOLUTION
The temperature of Shimla is -7 °C.
The temperature of Leh is -12 °C.
The temperature of Delhi is +22 °C.
The temperature of Nagpur is +31 °C.
Practice Set 4 | Q 3.1 | Page 15
Write the number in the following example using the proper signs.
A submarine is at a depth of 512 metres below sea level.
SOLUTION
-512 m
Practice Set 4 | Q 3.2 | Page 15
Write the number in the following example using the proper signs.
The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
SOLUTION
8848 m
Practice Set 4 | Q 3.3 | Page 15
Write the number in the following example using the proper signs.
A kite is flying at a distance of 120 metres from the ground.
Page 2
Chapter 3: Integers
PRACTICE SET 4 [PAGE 15]
Practice Set 4 | Q 1 | Page 15
Classify the following numbers as positive numbers and negative numbers.
–5, +4, –2, 7, +26, –49, –37, 19, –25, +8, 5, –4, –12, 27
SOLUTION
The negative numbers are -5, -2, -49, -37, -25, -4, -12
The positive numbers are +4, 7, +26, 19, +8, 5, 27
Practice Set 4 | Q 2 | Page 15
Given below are the temperatures in some cities. Write to them using the proper signs.
Place Shimla Leh Delhi Nagpur
Temperature 7°C above
0°
12°C above
0°
22°C above
0°
31°C above
0°
SOLUTION
The temperature of Shimla is -7 °C.
The temperature of Leh is -12 °C.
The temperature of Delhi is +22 °C.
The temperature of Nagpur is +31 °C.
Practice Set 4 | Q 3.1 | Page 15
Write the number in the following example using the proper signs.
A submarine is at a depth of 512 metres below sea level.
SOLUTION
-512 m
Practice Set 4 | Q 3.2 | Page 15
Write the number in the following example using the proper signs.
The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
SOLUTION
8848 m
Practice Set 4 | Q 3.3 | Page 15
Write the number in the following example using the proper signs.
A kite is flying at a distance of 120 metres from the ground.
SOLUTION
120 m
Practice Set 4 | Q 3.4 | Page 15
Write the number in the following example using the proper signs.
The tunnel is at a depth of 2 metres under the ground.
SOLUTION
-2 m
PRACTICE SET 5 [PAGE 18]
Practice Set 5 | Q 1.1 | Page 18
Add: 8 + 6
SOLUTION
8 + 6 = 14
Practice Set 5 | Q 1.2 | Page 18
Add: 9 + ( –3)
SOLUTION
9 + ( –3)
= 9 – 3
= 6
Practice Set 5 | Q 1.3 | Page 18
Add: 5 + ( –6)
SOLUTION
5 + ( –6)
= 5 – 6
= –1
Practice Set 5 | Q 1.4 | Page 18
Add: –7 + 2
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.5 | Page 18
Add: –8 + 0
SOLUTION
Page 3
Chapter 3: Integers
PRACTICE SET 4 [PAGE 15]
Practice Set 4 | Q 1 | Page 15
Classify the following numbers as positive numbers and negative numbers.
–5, +4, –2, 7, +26, –49, –37, 19, –25, +8, 5, –4, –12, 27
SOLUTION
The negative numbers are -5, -2, -49, -37, -25, -4, -12
The positive numbers are +4, 7, +26, 19, +8, 5, 27
Practice Set 4 | Q 2 | Page 15
Given below are the temperatures in some cities. Write to them using the proper signs.
Place Shimla Leh Delhi Nagpur
Temperature 7°C above
0°
12°C above
0°
22°C above
0°
31°C above
0°
SOLUTION
The temperature of Shimla is -7 °C.
The temperature of Leh is -12 °C.
The temperature of Delhi is +22 °C.
The temperature of Nagpur is +31 °C.
Practice Set 4 | Q 3.1 | Page 15
Write the number in the following example using the proper signs.
A submarine is at a depth of 512 metres below sea level.
SOLUTION
-512 m
Practice Set 4 | Q 3.2 | Page 15
Write the number in the following example using the proper signs.
The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
SOLUTION
8848 m
Practice Set 4 | Q 3.3 | Page 15
Write the number in the following example using the proper signs.
A kite is flying at a distance of 120 metres from the ground.
SOLUTION
120 m
Practice Set 4 | Q 3.4 | Page 15
Write the number in the following example using the proper signs.
The tunnel is at a depth of 2 metres under the ground.
SOLUTION
-2 m
PRACTICE SET 5 [PAGE 18]
Practice Set 5 | Q 1.1 | Page 18
Add: 8 + 6
SOLUTION
8 + 6 = 14
Practice Set 5 | Q 1.2 | Page 18
Add: 9 + ( –3)
SOLUTION
9 + ( –3)
= 9 – 3
= 6
Practice Set 5 | Q 1.3 | Page 18
Add: 5 + ( –6)
SOLUTION
5 + ( –6)
= 5 – 6
= –1
Practice Set 5 | Q 1.4 | Page 18
Add: –7 + 2
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.5 | Page 18
Add: –8 + 0
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.6 | Page 18
Add: –5 + ( –2)
SOLUTION
–5 + ( –2)
= – 5 – 2
= –7
Practice Set 5 | Q 2 | Page 18
Complete the table given below.
+ 8 4 –3 –5
–2 –2 + 8 = +16
6
0
–4
SOLUTION
+ 8 4 –3 –5
–2 –2 + 8 = +6 –2 + 4 = +2 –2 – 3 = –5 –2 – 5 = –7
6 6 + 8 = 14 6 + 4 = 10 6 – 3 = 3 6 – 5 = 1
0 0 + 8 = 8 0 + 4 = 4 0 – 3 = –3 0 – 5 = –5
–4 –4 + 8 = 4 –4 + 4 = 0 –4 – 3 = –7 –4 – 5 = –9
PRACTICE SET 6 [PAGE 19]
Practice Set 6 | Q 1 | Page 19
Write the opposite number of each of the numbers given below.
Number 47 + 52 – 33 – 84 – 21 + 16 – 26 80
Opposite
number
Page 4
Chapter 3: Integers
PRACTICE SET 4 [PAGE 15]
Practice Set 4 | Q 1 | Page 15
Classify the following numbers as positive numbers and negative numbers.
–5, +4, –2, 7, +26, –49, –37, 19, –25, +8, 5, –4, –12, 27
SOLUTION
The negative numbers are -5, -2, -49, -37, -25, -4, -12
The positive numbers are +4, 7, +26, 19, +8, 5, 27
Practice Set 4 | Q 2 | Page 15
Given below are the temperatures in some cities. Write to them using the proper signs.
Place Shimla Leh Delhi Nagpur
Temperature 7°C above
0°
12°C above
0°
22°C above
0°
31°C above
0°
SOLUTION
The temperature of Shimla is -7 °C.
The temperature of Leh is -12 °C.
The temperature of Delhi is +22 °C.
The temperature of Nagpur is +31 °C.
Practice Set 4 | Q 3.1 | Page 15
Write the number in the following example using the proper signs.
A submarine is at a depth of 512 metres below sea level.
SOLUTION
-512 m
Practice Set 4 | Q 3.2 | Page 15
Write the number in the following example using the proper signs.
The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
SOLUTION
8848 m
Practice Set 4 | Q 3.3 | Page 15
Write the number in the following example using the proper signs.
A kite is flying at a distance of 120 metres from the ground.
SOLUTION
120 m
Practice Set 4 | Q 3.4 | Page 15
Write the number in the following example using the proper signs.
The tunnel is at a depth of 2 metres under the ground.
SOLUTION
-2 m
PRACTICE SET 5 [PAGE 18]
Practice Set 5 | Q 1.1 | Page 18
Add: 8 + 6
SOLUTION
8 + 6 = 14
Practice Set 5 | Q 1.2 | Page 18
Add: 9 + ( –3)
SOLUTION
9 + ( –3)
= 9 – 3
= 6
Practice Set 5 | Q 1.3 | Page 18
Add: 5 + ( –6)
SOLUTION
5 + ( –6)
= 5 – 6
= –1
Practice Set 5 | Q 1.4 | Page 18
Add: –7 + 2
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.5 | Page 18
Add: –8 + 0
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.6 | Page 18
Add: –5 + ( –2)
SOLUTION
–5 + ( –2)
= – 5 – 2
= –7
Practice Set 5 | Q 2 | Page 18
Complete the table given below.
+ 8 4 –3 –5
–2 –2 + 8 = +16
6
0
–4
SOLUTION
+ 8 4 –3 –5
–2 –2 + 8 = +6 –2 + 4 = +2 –2 – 3 = –5 –2 – 5 = –7
6 6 + 8 = 14 6 + 4 = 10 6 – 3 = 3 6 – 5 = 1
0 0 + 8 = 8 0 + 4 = 4 0 – 3 = –3 0 – 5 = –5
–4 –4 + 8 = 4 –4 + 4 = 0 –4 – 3 = –7 –4 – 5 = –9
PRACTICE SET 6 [PAGE 19]
Practice Set 6 | Q 1 | Page 19
Write the opposite number of each of the numbers given below.
Number 47 + 52 – 33 – 84 – 21 + 16 – 26 80
Opposite
number
SOLUTION
Number 47 + 52 – 33 – 84 – 21 + 16 – 26 80
Opposite
number
– 47 – 52 + 33 + 84 + 21 –16 + 26 – 8
PRACTICE SET 7 [PAGE 19]
Practice Set 7 | Q 1 | Page 19
Write the proper sings > , < or = in the boxes below.
(1) –4 ____ 5 (2) 8 ___ –10 (3) +9 ____ +9 (4) – 6 ___ 0
(5) 7 ______ 4 (6) 3 ___ 0 (7) –7 ___ 7 (8) –12 ____ 5
(9) –2 _____ –
8
(10) –1 __ –2 (11) 6 ___ -3 (12) –14
____ –14
SOLUTION
(1) -4 < 5 (2) 8 > -10 (3) +9 = +9 (4) -6 < 0
(5) 7 > 4 (6) 3 > 0 (7) -7 < 7 (8) -12 < 5
(9) -2 > -8 (10) -1 > -2 (11) 6 > -3 (12) -14 = -14
PRACTICE SET 8 [PAGE 20]
Practice Set 8 | Q 1 | Page 20
Subtract the numbers in the top row from the numbers in the first column and write the
proper number in each empty box.
– 6 9 –4 –5 0 +7 –8 –3
3 3 – 6 = –3
8 8 - (-5) = 13
–3
–2
Page 5
Chapter 3: Integers
PRACTICE SET 4 [PAGE 15]
Practice Set 4 | Q 1 | Page 15
Classify the following numbers as positive numbers and negative numbers.
–5, +4, –2, 7, +26, –49, –37, 19, –25, +8, 5, –4, –12, 27
SOLUTION
The negative numbers are -5, -2, -49, -37, -25, -4, -12
The positive numbers are +4, 7, +26, 19, +8, 5, 27
Practice Set 4 | Q 2 | Page 15
Given below are the temperatures in some cities. Write to them using the proper signs.
Place Shimla Leh Delhi Nagpur
Temperature 7°C above
0°
12°C above
0°
22°C above
0°
31°C above
0°
SOLUTION
The temperature of Shimla is -7 °C.
The temperature of Leh is -12 °C.
The temperature of Delhi is +22 °C.
The temperature of Nagpur is +31 °C.
Practice Set 4 | Q 3.1 | Page 15
Write the number in the following example using the proper signs.
A submarine is at a depth of 512 metres below sea level.
SOLUTION
-512 m
Practice Set 4 | Q 3.2 | Page 15
Write the number in the following example using the proper signs.
The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
SOLUTION
8848 m
Practice Set 4 | Q 3.3 | Page 15
Write the number in the following example using the proper signs.
A kite is flying at a distance of 120 metres from the ground.
SOLUTION
120 m
Practice Set 4 | Q 3.4 | Page 15
Write the number in the following example using the proper signs.
The tunnel is at a depth of 2 metres under the ground.
SOLUTION
-2 m
PRACTICE SET 5 [PAGE 18]
Practice Set 5 | Q 1.1 | Page 18
Add: 8 + 6
SOLUTION
8 + 6 = 14
Practice Set 5 | Q 1.2 | Page 18
Add: 9 + ( –3)
SOLUTION
9 + ( –3)
= 9 – 3
= 6
Practice Set 5 | Q 1.3 | Page 18
Add: 5 + ( –6)
SOLUTION
5 + ( –6)
= 5 – 6
= –1
Practice Set 5 | Q 1.4 | Page 18
Add: –7 + 2
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.5 | Page 18
Add: –8 + 0
SOLUTION
–7 + 2 = –5
Practice Set 5 | Q 1.6 | Page 18
Add: –5 + ( –2)
SOLUTION
–5 + ( –2)
= – 5 – 2
= –7
Practice Set 5 | Q 2 | Page 18
Complete the table given below.
+ 8 4 –3 –5
–2 –2 + 8 = +16
6
0
–4
SOLUTION
+ 8 4 –3 –5
–2 –2 + 8 = +6 –2 + 4 = +2 –2 – 3 = –5 –2 – 5 = –7
6 6 + 8 = 14 6 + 4 = 10 6 – 3 = 3 6 – 5 = 1
0 0 + 8 = 8 0 + 4 = 4 0 – 3 = –3 0 – 5 = –5
–4 –4 + 8 = 4 –4 + 4 = 0 –4 – 3 = –7 –4 – 5 = –9
PRACTICE SET 6 [PAGE 19]
Practice Set 6 | Q 1 | Page 19
Write the opposite number of each of the numbers given below.
Number 47 + 52 – 33 – 84 – 21 + 16 – 26 80
Opposite
number
SOLUTION
Number 47 + 52 – 33 – 84 – 21 + 16 – 26 80
Opposite
number
– 47 – 52 + 33 + 84 + 21 –16 + 26 – 8
PRACTICE SET 7 [PAGE 19]
Practice Set 7 | Q 1 | Page 19
Write the proper sings > , < or = in the boxes below.
(1) –4 ____ 5 (2) 8 ___ –10 (3) +9 ____ +9 (4) – 6 ___ 0
(5) 7 ______ 4 (6) 3 ___ 0 (7) –7 ___ 7 (8) –12 ____ 5
(9) –2 _____ –
8
(10) –1 __ –2 (11) 6 ___ -3 (12) –14
____ –14
SOLUTION
(1) -4 < 5 (2) 8 > -10 (3) +9 = +9 (4) -6 < 0
(5) 7 > 4 (6) 3 > 0 (7) -7 < 7 (8) -12 < 5
(9) -2 > -8 (10) -1 > -2 (11) 6 > -3 (12) -14 = -14
PRACTICE SET 8 [PAGE 20]
Practice Set 8 | Q 1 | Page 20
Subtract the numbers in the top row from the numbers in the first column and write the
proper number in each empty box.
– 6 9 –4 –5 0 +7 –8 –3
3 3 – 6 = –3
8 8 - (-5) = 13
–3
–2
SOLUTION
– 6 9 –4 –5 0 +7 –8 –3
3 3 – 6 = –
3
3 – 9 = –
6
3 + 4 =
7
3 + 5 = 8 3 – 0 = 3 3 – 7 = –4 3 + 8 =
11
3 + 3 =
6
8 8 – 6 = 2 8 – 9 = –
1
8 + 4 =
12
8 – (– 5) =
13
8 – 0 = 8 8 – 7 = 1 8 + 8 =
16
8 + 3 =
11
–
3
–3 – 6 =
–9
–3 – 9 =
–12
–3 + 4
= 1
–3 + 5 = 2 –3 – 0 =
–3
–3 – 7 = –
10
–3 + 8
= 5
–3 + 3
= 0
–
2
–2 – 6 =
–8
–2 – 9 =
–11
– 2 + 4
= 2
–2 + 5 = 3 –2 – 0 =
–2
–2 – 7 = –
9
–2 + 8
= 6
–2 + 3
= 1
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FAQs on Textbook Solutions: Integers - Mathematics Class 6 (Maharashtra Board)
| 1. What are integers and how are they classified? |  |
Ans.Integers are whole numbers that can be positive, negative, or zero. They are classified into three categories: positive integers (1, 2, 3,...), negative integers (-1, -2, -3,...), and zero (0). Together, these make up the set of integers, which is denoted by the symbol Z.
| 2. How do you perform basic operations with integers? | |
Ans.Basic operations with integers include addition, subtraction, multiplication, and division. For addition, when two integers have the same sign, you add their absolute values and keep the sign. For subtraction, you can add the opposite of the integer being subtracted. In multiplication, the product of two integers with the same sign is positive, while the product of integers with different signs is negative. Division follows the same sign rules as multiplication.
| 3. Why are integers important in mathematics and everyday life? | |
Ans.Integers are fundamental in mathematics because they form the basis for many concepts in arithmetic, algebra, and number theory. In everyday life, integers are used in various situations such as measuring temperature (where negative values indicate below zero), financial transactions (profits or losses), and many more scenarios where whole numbers are applicable.
| 4. What are some real-life examples of integers? | |
Ans.Real-life examples of integers include temperatures (like -5 degrees Celsius), bank balances (a negative balance indicates debt), and scores in games (a score of -2 means the player is below par). Additionally, integers are used in countdowns and levels below sea level, reinforcing their practical application in daily activities.
| 5. How can we represent integers on a number line? | |
Ans.Integers can be represented on a number line, which is a straight line marked with numbers at equal intervals. The center of the line typically represents zero, while positive integers extend to the right and negative integers extend to the left. This visual representation helps in understanding the relative positions and values of different integers, making it easier to perform operations and comparisons.
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