Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line

Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line

Selina Publishers Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line

Number Line Exercise 7A – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Fill in the blanks, using the following number line :
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 22
(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 the opposite of 3.
(viii) 8 is …………. than -5 and -8 is ……….. than -5.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 1

Question 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:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 2

Question 3.
In each of the following pairs, which integer is smaller :
(i) 0, -6
(ii) 2, -3
(iii) 15, -51
(iv) 13, 0
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 3

Question 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
(viii) 516 * -316
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 4

Question 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:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 5

Question 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, -11, 0, 7, 6
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 6

Question 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 integar 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:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 7

Number Line Exercise 7B – Selina Concise Mathematics Class 6 ICSE Solutions

Use a number line to evaluate each of the following :
Question 1.
(i) (+ 7) + (+ 4)
(ii) 0 + (+ 6)
(iii) (+ 5) + 0
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 8

Question 2.
(i) (-4) + (+5)
(ii) 0 + (-2)
(iii) (-1) + (-4)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 9

Question 3.
(i) (+ 4) + (-2)
(ii) (+3) + (-6)
(iii) 3 + (-7)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 10

Question 4.
(i) (-1) + (-2)
(ii) (-2) + (-5)
(iii) (-3) + (-4)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 11

Question 5.
(i) (+ 10) – (+2)
(ii) (+8)- (-5)
(iii) (-6) – (+2)
(iv) (-7) – (+5)
(v) (+4) – (-2)
(vi) (-8) – (-4)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 12
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 13

Question 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:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 14
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 15

Number Line Revision Exercise – Selina Concise Mathematics Class 6 ICSE Solutions

Question 1.
Fill in the blanks :
(i) 5 is …………… than -2 and -5 is ………… than 2.
(ii) -3 is ………… than 0 and 3 is …………. than 0.
(iii) on a number line, if x is to the left of y, then x is ………… than y.
(iv) on a number line if x is to the right of y, then y is …………. than x.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 16

Question 2.
Using a number line, write the numbers -15, 7, 0, -8 and -3 in ascending order of value.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 17

Question 3.
Using a number line, write the numbers 8, -6, 2 -12, 0, 15 and -1 in descending order of value.
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 18

Question 4.
Using a number line, evaluate :
(i) (+5) + (+4)
(ii) (+6) + (+8)
(iii) (-3) + (+5)
(iv) (-3) + (+7)
(v) (+6) + (-2)
(vi) (-3) + (+3)
(vii) (-5) + (-5)
(viii) (-7) + (-1)
(ix) (+6) – (+2)
(x) (+5) – (-3)
(xi) (+4) – (-1)
(xii) (-7) – (-2)
Solution:
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 19
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 20
Selina Concise Mathematics Class 6 ICSE Solutions Chapter 7 Number Line 21

Selina Concise Mathematics Class 6 ICSE Solutions