Selina solutions concise mathematics class 6 icse Solutions for Chapter 7 number line

Q1)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 the opposite of 3.

(viii) 8 is …………. than -5 and -8 is ……….. than -5.

Q2)In each of the following pairs, state which integer is greater :

(i) -15, -23

(ii) -12, 15

(iii) 0, 8

(iv) 0, -3

Q3)In each of the following pairs, which integer is smaller :

(i) 0, -6

(ii) 2, -3

(iii) 15, -51

(iv) 13, 0

Q4)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

Q5)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

Q6)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

Q7)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.

Q1)Use a number line to evaluate each of the following :

(i) (+ 7) + (+ 4)

(ii) 0 + (+ 6)

(iii) (+ 5) + 0

Q2)Use a number line to evaluate each of the following :

(i) (-4) + (+5)

(ii) 0 + (-2)

(iii) (-1) + (-4)

Q3)Use a number line to evaluate each of the following :

(i) (+ 4) + (-2)

(ii) (+3) + (-6)

(iii) 3 + (-7)

Q4)Use a number line to evaluate each of the following :

(i) (-1) + (-2)

(ii) (-3) + (-4)

(iii) (-2) + (-5)

Q5)Use a number line to evaluate each of the following :

(i) (+ 10) – (+2)

(ii) (+8)- (-5)

(iii) (-6) – (+2)

(iv) (-7) – (+5)

(v) (+4) – (-2)

(vi) (-8) – (-4)

Q6)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

Q1)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.

Q2)Using a number line, write the numbers -15, 7, 0, -8 and -3 in ascending order of value.

Q3)Using a number line, write the numbers 8, -6, 2 -12, 0, 15 and -1 in descending order of value.

Q4)

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)