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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.

Answer»

(i) 5 is greater than -2 and -5 is less than 2. 

(ii) -3 is less than 0 and 3 is greater than 0. 

(iii) On a number line, if x is to the left of y, then x is less than y. 

(iv) On a number line, x is to the right of y, then y is less than x.

2.

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

Answer»

(i) 3 > 0

(ii) 0 > -8

(iii) -9 < -3

(iv) -3 < 3

(v) 5 > -1

(vi) -13 < 0

(vii) -8 > -18

(viii) 516 > -316

3.

In each of the following pairs, state which integer is greater : (i) -15, -23 (ii) -12, 15 (iii) 0, 8 (iv) 0, -3

Answer»

(i) -15, -23 

-15 is greater than -23 as -15 lies on the right side of-23 on the number line 

(ii) -12, 15 

15 is greater than than -12 as 15 lies on the right side of -12 on the number line 

(iii) 0, 8 

8 > 0 

(iv) 0, -3 

0 > – 3

4.

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.

Answer»

(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 less than 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 the opposite of 3. 

(viii) 8 is greater than -5 and -8 is less than -5.

5.

In each of the following pairs, which integer is smaller :(i) 0, -6(ii) 2, -3(iii) 15, -51(iv) 13, 0

Answer»

(i) 0, -6

-6 < 0

(ii) 2, -3

-3 < 2

(iii) 15, -51

-51 < 15

(iv) 13, 0

0 < 13

6.

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.

Answer»

(i) False

(ii) True

(iii) True

(iv) True

(v) False

(vi) False