Class 6: Maths Chapter 7 solutions. Complete Class 6 Maths Chapter 7 Notes.
Selina Class 6 ICSE Solutions Mathematics : Chapter 7- Number Line
Selina 6th Maths Chapter 7, Class 6 Maths Chapter 7 solutions
Exercise 7(A) page no: 55
1. Fill in the blanks, using the following number line:
(i) An integer, on the given number line, is ………. than every number on its left.
(ii) An integer on the given number line is greater than every number to its ………..
(iii) 2 is greater than -4 implies 2 is to the ……….. of -4.
(iv) -3 is …………. than 2 and 3 is ………… than -2.
(v) -4 is ……….. than -8 and 4 is ……….. than 8.
(vi) 5 is ………….. than 2 and -5 is ………… than -2.
(vii) -6 is …………. than 3 and the opposite of -6 is …………. than opposite of 3.
(viii) 8 is ………….. than -5 and -8 is ……………. than 5.
Solution:
(i) An integer, on the given number line, is greater than every number on its left.
(ii) An integer, on the given number line, is greater than every number to its left.
(iii) 2 is greater than -4 implies 2 is on the right of -4
(iv) -3 is less than 2 and 3 is greater than -2
(v) -4 is greater than -8 and 4 is lessthan 8
(vi) 5 is greater than 2 and -5 is less than -2
(vii) -6 is less than 3 and the opposite of -6 is greater than opposite of 3
(viii) 8 is greater than -5 and -8 is less than 5
2. In each of the following pairs, state which integer is greater :
(i) – 15, – 23
(ii) – 12, 15
(iii) 0, 8
(iv) 0, – 3
Solution:
(i) -15, -23
-15 lies on the right side of -23 on the number line. Therefore, -15 is greater than -23
(ii) -12, 15
15 lies on the right side of -12 on the number line. Hence, 15 is greater than -12
(iii) 0, 8
8 lies on the right side of 0 on the number line. Therefore, 8 is greater than 0
(iv) 0, -3
0 lies on the right side of -3 on the number line. Hence, 0 is greater than -3
3. In each of the following pairs, state which integer is smaller :
(i) 0, – 6
(ii) 2, – 3
(iii) 15, – 51
(iv) 13, 0
Solution:
(i) -6 lies on the left side of 0 on the number line. Hence, -6 is smaller than 0
(ii) -3 lies on the left side of 2 on the number line. Therefore, -3 is smaller than 2
(iii) -51 lies on the left side of 15 on the number line. Hence, -51 is smaller than 15
(iv) 0 lies on the left side of 13 on the number line. Therefore, 0 is smaller than 13
4. In each of the following pairs, replace * with < or > to make the statement true:
(i) 3 * 0
(ii) 0 * – 8
(iii) – 9 * – 3
(iv) – 3 * 3
(v) 5 * – 1
(vi) – 13 * 0
(vii) – 8 * – 18
Solution:
(i) 3 lies on the right side of 0 on the number line ⇒ 3 > 0
Hence, 3 is greater than 0
(ii) 0 lies on the right side of -8 on the number line ⇒ 0 > -8
Therefore, 0 is greater than -8
(iii) -9 lies on the left side of -3 on the number line ⇒ -9 < -3
Hence, -9 is smaller than -3
(iv) -3 lies on the left side of 3 on the number line ⇒ -3 < 3
Therefore, -3 is smaller than 3
(v) 5 lies right side of -1 on the number line ⇒ 5 > -1
Hence, 5 is greater than -1
(vi) -13 lies left side of 0 on the number line ⇒ -13 < 0
Therefore, -13 is smaller than 0
(vii) -8 lies on the right side of -18 on the number line ⇒ -8 > -18
Hence, -8 is greater than -18
5. In each case, arrange the given integers in ascending order, using a number line:
(i) -8, 0, -5, 5, 4, -1
(ii) 3, -3, 4, -7, 0, -6, 2
Solution:
(i) -8, 0, -5, 5, 4, -1
Draw a number line and mark the given integers in ascending order as -8, -5, -1, 0, 4, 5 on the number line as shown below
(ii) 3, -3, 4, -7, 0, -6, 2
Draw a number line and mark the given integers in ascending order as -7, -6, -3, 0, 2, 3, 4 on the number line as shown below
6. In each case, arrange the given integers in descending order, using a number line:
(i) -5, -3, 8, 15, 0, -2
(ii) 12, 23, -1, 0, 7, 6
Solution:
(i) -5, -3, 8, 15, 0, -2
Draw a number line and mark the given integers on it. Arranging these integers in descending order 15, 8, 0, -2, -3, -5 as shown below on the number line
(ii) 12, 23, -1, 0, 7, 6
Draw a number line and mark the given integers on it. Arranging these integers in descending order 23, 12, 7, 6, 0, -1 as shown below on the number line
7. For each of the statements given below, state whether it is true or false:
(i) The smallest integer is 0.
(ii) The opposite of -17 is 17
(iii) The opposite of zero is zero
(iv) Every negative integer is smaller than 0
(v) 0 is greater than every positive integer
(vi) Since zero is neither negative nor positive, it is not an integer
Solution:
(i) False
(ii) True
(iii) True
(iv) True
(v) False
(vi) False
Exercise 7(B) page no: 59
1. Use a number line to evaluate each of the following:
1. (i) (+7) + (+4) (ii) 0 + (+6) (iii) (+5) + 0
2. (i) (-4) + (+5) (ii) 0 + (-2) (iii) (-1) + (+4)
3. (i) (+4) + (-2) (ii) (+3) + (-6) (iii) 3 + (-7)
4. (i) (-1) + (-2) (ii) (-3) + (-4) (iii) (-2) + (-5)
5, (i) (+10) – (+2) (ii) (+8) – (-5) (iii) (-6) – (+2)
(iv) (-7) – (+5) (v) (+4) – (-2) (vi) (-8) – (-4)
Solution:
1. (i) (+7) + (+4)
Move 7 units to the right of zero for (+7) and move 4 units to the right of +7 for (+4)
Hence, (+7) + (+4) = +11
(ii) 0 + (+6)
No movement for 0 and move 6 units to the right of zero for (+6)
Hence, 0 + (+6) = +6
(iii) (+5) + 0
Move 5 units to the right of 0 for (+5) and for 0, no movement
Hence, (+5) + 0 = +5
2. (i) (-4) + (+5)
Move 4 units to the left of 0 for (-4) and move 5 units to the right of -4 for (+5)
Hence, (-4) + (+5) = +1
(ii) 0 + (-2)
No movement for 0 and move 2 units to the left of 0 for -2
Hence, 0 + (-2) = -2
(iii) (-1) + (+4)
Move 1 unit to the left of 0 for (-1) and move 4 units to the right of -1 for (+4)
Hence, (-1) + (+4) = +3
3. (i) (+4) + (-2)
Move 4 units to the right of 0 for (+4) and move 2 units to the left of +4 for (-2)
Hence, (+4) + (-2) = +2
(ii) (+3) + (-6)
Move 3 units to the right of 0 for (+3) and move 6 units to the left of 3 for (-6)
Hence, (+3) + (-6) = -3
(iii) 3 + (-7)
Move 3 units to the right of 0 for (3) and move 7 units to the left of 3 for (-7)
Hence, 3 + (-7) = -4
4. (i) (-1) + (-2)
From 0, move 1 unit to the left for (-1) and move 2 units to the left of -1 for (-2)
Hence, (-1) + (-2) = -3
(ii) (-3) + (-4)
From 0, move 3 units to the left for (-3) and move 4 units to the left of -3 for (-4)
Hence, (-3) + (-4) = -7
(iii) (-2) + (-5)
Move 2 units to the left from 0 for (-2) and move 5 units to the left of -2 for (-5)
Hence, (-2) + (-5) = -7
5. (i) (+10) – (+2)
From +2, it took 8 steps to reach the position of number +10 to the right
Hence, (+10) – (+2) = +8
(ii) (+8) – (-5)
Starting from the position of -5, it took 13 steps towards right to reach +8
Hence, (+8) – (-5) = + 13
(iii) (-6) – (+2)
From +2, it took 8 steps towards left to reach -6
Hence, (-6) – (+2) = -8
(iv) (-7) – (+5)
From +5, it took 12 steps towards left to reach -7
Hence, (-7) – (+5) = -12
(v) (+4) – (-2)
From +4, it took 6 steps towards left to reach the number -2
Hence, (+4) – (-2) = +6
(vi) (-8) – (-4)
From -8, it took 4 steps towards right to reach -4
Hence, -8 – (-4) = -4
6. Using a number line, find the integer which is:
(i) 3 more than -1
(ii) 5 less than 2
(iii) 5 more than -9
(iv) 4 less than -4
(v) 7 more than 0
(vi) 7 less than -8
Solution:
(i) 3 more than -1
To get 3 more than -1, from -1 move 3 units to the right of -1 to get 2
Therefore, 3 more than -1 = 2
(ii) 5 less than 2
To get 5 less than 2, from 2 move 5 units to the left of 2 to get -3
Therefore, 5 less than 2 = -3
(iii) 5 more than -9
To get 5 more than -9, from -9 move 5 units to the right of -9 to get -4
Therefore, 5 more than -9 = -4
(iv) 4 less than -4
To get 4 less than -4, from -4 move 4 units to the left of -4 to get -8
Therefore, 4 less than -4 = -8
(v) 7 more than 0
To get 7 more than 0, from 0 move 7 units to the right of 0 to get 7
Therefore, 7 more than 0 = 7
(vi) 7 less than -8
To get 7 less than -8, from -8 move 7 units to the left of -8 to get -15
Therefore, 7 less than -8 = -15
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Selina Class 6 ICSE Solutions Mathematics : Chapter 7- Number Line
Download PDF: Selina Class 6 ICSE Solutions Mathematics : Chapter 7- Number Line PDF
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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