Class 6: Maths Chapter 6 solutions. Complete Class 6 Maths Chapter 6 Notes.
Selina Class 6 ICSE Solutions Mathematics : Chapter 6- Negative Numbers And Integers
Selina 6th Maths Chapter 6, Class 6 Maths Chapter 6 solutions
Exercise 6 page no: 52
1. Fill in the blanks:
(i) Negative of -20 is ………….
(ii) Negative of 0 is …………
(iii) Negative of 8 is ………….
(iv) If 10 represents gain of ₹ 10, then -10 represents …………
(v) If going south is negative then going north is ……….
(vi) Because 5 < 7, therefore -5 ………… -7.
(vii) If 3 > -2, then 3 is on the ……….. of – 2.
(viii) If -8 < -6, then -8 is on the ……….. of -6.
Solution:
(i) Negative of -20 is 20
(ii) Negative of 0 is 0
(iii) Negative of 8 is -8
(iv) If 10 represents gain of ₹ 10, then -10 represents loss of ₹ 10
(v) If going south is negative then going north is positive
(vi) Because 5 < 7, therefore -5 greater than -7
(vii) If 3 > -2, then 3 is on the right side of -2
(viii) If -8 < -6, then -8 is on the left side of -6
2. Use a number line to write the following integers in ascending (increasing) order:
(i) -5, 8, 0, -9, 4, -14 and 12
(ii) -6, 7, 0, -9, 5 and 9
Solution:
(i) -5, 8, 0, -9, 4, -14 and 12
Draw a number line for given integers and mark on it all the integers as shown below
Hence, the given integers in the ascending order are:
-14 < -9 < -5 < 0 < 4 < 8 < 12
(ii) -6, 7, 0, -9, 5 and 9
Draw a number line for given integers and mark on it all the integers as shown below
Hence, the given integers in the ascending order are:
-9 < -6 < 0 < 5 < 7 < 9
3. Use a number line to write the following integers in descending (decreasing) order:
(i) -10, 0, 3, -4, 12, 11, -1 and 5
(ii) -4, 3, -8, -12, -7 and 6
Solution:
(i) -10, 0, 3, -4, 12, 11, -1 and 5
Draw a number line for the given integers and mark on it all the integers as shown below
Hence, the given integers in the descending order are:
12 > 11 > 5 > 3 > 0 > -1 > -4 > -10
(ii) -4, 3, -8, -12, -7 and 6
Draw a number line for the given integers and mark on it all the integers as shown below
Hence, the given integers in the descending order are:
6 > 3 > -4 > -7 > -8 > -12
4. Add:
(i) 13 and 15
(ii) -13 and 15
(iii) 13 and -15
(iv) -13 and -15
Solution:
(i) 13 and 15
On adding these numbers, we get
13 + 15 = 28
(ii) -13 and 15
On adding these numbers, we get
(-13) + 15 = 2
(iii) 13 and – 15
On adding these numbers, we get
13 + (-15) = 13 – 15
= -2
(iv) -13 and -15
On adding these numbers, we get
(-13) + (-15) = – 13 – 15
= – 28
5. Add:
(i) 259 and 214
(ii) -528 and -243
(iii) -623 and 326
(iv) 258 and -473
(v) -622 and -254
(vi) 257 and – 254
Solution:
(i) 259 and 214
On adding, we get
= 259 + 214
= 473
(ii) -528 and -243
On adding, we get
= -528 + (- 243)
= -528 – 243
= – 771
(iii) – 623 and 326
On adding, we get
= – 623 + 326
= – 297
(iv) 258 and -473
On adding, we get
= 258 + (- 473)
= 258 – 473
= – 215
(v) -622 and -254
On adding, we get
= – 622 + (- 254)
= – 622 – 254
= – 876
(vi) 257 and – 254
On adding, we get
= 257 + (- 254)
= 257 – 254
= 3
6. Subtract:
(i) 5 from 8
(ii) -5 from 8
(iii) 4 from -7
(iv) -8 from -2
(v) -3 from 12
(vi) -6 from -3
Solution:
(i) 5 from 8
On subtracting, we get
= 8 – 5
= 3
(ii) -5 from 8
On subtracting, we get
= 8 – (-5)
= 8 + 5
= 13
(iii) 4 from – 7
On subtracting, we get
= – 7 – 4
= – 11
(iv) – 8 from – 2
On subtracting, we get
= – 2 – (- 8)
= – 2 + 8
= 6
(v) – 3 from 12
On subtracting, we get
= 12 – (-3)
= 12 + 3
= 15
(vi) – 6 from – 3
On subtracting, we get
= – 3 – (- 6)
= – 3 + 6
= 3
7. Subtract:
(i) – 123 from 453
(ii) -78 from – 12
(iii) 329 from – 124
(iv) -222 from 0
Solution:
(i) – 123 from 453
On subtracting, we get
= 453 – (- 123)
= 453 + 123
= 576
(ii) – 78 from -12
On subtracting, we get
= – 12 – (-78)
= – 12 + 78
= 66
(iii) 329 from -124
On subtracting, we get
= – 124 – 329
= – 453
(iv) –222 from 0
On subtracting, we get
= 0 – (-222)
= 0 + 222
= 222
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Selina Class 6 ICSE Solutions Mathematics : Chapter 6- Negative Numbers And Integers
Chapterwise Selina Publishers ICSE Solutions for Class 6 Mathematics :
- Chapter 1- Number System
- Chapter 2- Estimation
- Chapter 3- Numbers In Indian And International Systems
- Chapter 4- Place Value
- Chapter 5- Natural Numbers And Whole Numbers
- Chapter 6- Negative Numbers And Integers
- Chapter 7- Number Line
- Chapter 8- HCF And LCM
- Chapter 9- Playing With Numbers
- Chapter 10- Sets
- Chapter 11- Ratio
- Chapter 12- Proportion
- Chapter 13- Unitary Method
- Chapter 14- Fractions
- Chapter 15- Decimal Fractions
- Chapter 16- Percent (Percentage)
- Chapter 17- Idea of Speed, Distance and Time
- Chapter 18- Fundamental Concepts
- Chapter 19- Fundamental Operations
- Chapter 20- Substitution
- Chapter 21- Framing Algebraic Expressions (Including Evaluation)
- Chapter 22- Simple (Linear) Equations
- Chapter 23- Fundamental Concepts
- Chapter 24- Angles
- Chapter 25- Properties of Angles and Lines
- Chapter 26- Triangles
- Chapter 27- Quadrilateral
- Chapter 28- Polygons
- Chapter 29- The Circle
- Chapter 30- Revision Exercise Symmetry
- Chapter 31- Recognition of Solids
- Chapter 32- Perimeter and Area of Plane Figures
- Chapter 33- Data Handling
- Chapter 34- Mean and Median
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