Selina Class 6 ICSE Solutions Mathematics : Chapter 7- Number Line

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

About Selina Publishers ICSE

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