**Selina Concise Mathematics Class 6 ICSE Solutions – Negative Numbers and Integers**

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**EXERCISE 6**

**Question 1.**

**Fill in the blanks :**

(i) Negative of -20 is ……….

(ii) Negative of 0 is …………

(iii) Negative of 8 is ………..

(iv) If 10 represents gain of ₹ 10, then -10 represents …………..

(v) If going south is negative then going north is …………

(vi) Because 5 < 7, therefore -5 ……….. -7. (vii) If 3 > -2, then 3 is on the ………….. of -2.

(viii) If -8 < -6, then -8 is on the …………. of-6.

**Solution:**

(i) 20

(ii) 0

(iii) -8

(iv) loss of ₹ 10

(v) positive

(vi) less than

(vii) right side

(viii) left side

**Question 2.**

Use a number line to write the following integers in ascending (increasing) order :

(i) -5, 8, 0, -9, 4, -14 and 12

(ii) -6, 7, 0, -9, 5 and 9

**Solution:**

(i) -5, 8, 0, -9, 4, -14 and 12

Draw a number line for integers,, as shown below, and mark on it all the given integers.

Clearly, the given integers in the ascending order are :

-14 < -9 < -5 < 0 < 4 < 8 < 12

(ii) -6, 7, 0, -9, 5 and 9

Draw a number line for integers, as shown below, and mark on it all the given integers.

Clearly, the given integers in the ascending order are :

-9 < -6 < 0 < 5 < 7 < 9

**Question 3.**

Use a number line to write the following integers in descending (decreasing) order :

(i) -10, 0, 3, -4, 12, 11, -1 and 5

(ii) -4, 3, -8, -12, -7 and 6.

**Solution:**

(i) -10, 0, 3,-4, 12, 11,-1 and 5

Draw a number line for integers, as shown below, and mark on it all the given integers.

Clearly, the given integers in the descending order are :

6 > 3 > 0 > -7 > -8 > -10 > – 12

(ii) -4, 3, -8, -12, -7 and 6.

Draw a number line for integers, as shown below, and mark on it all the given integers.

Clearly, the given integers in the descending order are :

6 > 3 > -4 > -7 > -8 > -12

**Question 4.**

Add:

(i) 13 and 15

(ii) -13 and 15

(iii) 13 and -15

(iv) -13 and -15

**Solution:**

(i) 13 and 15

13 + 15 = 28

(ii) -13 and 15

(-13) + 15 = 2

(iii) 13 and -15

= (13)+ (-15)

= 13 – 15 = -2

(iv) -13 and-15

= (-13) + (-15)

= -13 – 15 = -28

**Question 5.**

Add:

(i) 259 from 214

(ii) -528 and -243

(iii) -623 and 326

(iv) 258 and -473

(v) -622 and -254

(vi) 257 and -254

**Solution:**

(i) 259 from 214

= 259 + 214 = 473

(ii) -528 and-243

= -528 + (-243)

= -528 – 243

= -771

(iii) -623 and 326

= -623 + 326 = -297

(iv) 258 and —473

= 258 +(-473)

= 258 – 473

= -215

(v) -622 and-254

= -622 +(-254)

= -622 – 254

= -876

(vi) 257 and-254

= 257 +(-254)

= 257 – 254

= 3

**Question 6.**

Subtract :

(i) 5 from 8

(ii) -5 from 8

(iii) 4 from -7

(iv) -8 from -2

(v) -3 from 12

(vi) -6 from -3

**Solution:**

(i) 5 from 8

= 8 – 5 = 3

(ii) -5 from 8

= 8 – (-5)

= 8 + 5 = 13

(ii) 4 from -7

= -7 – 4

= -11

(iv) -8 from -2 = -2 – (-8)

= -2 + 8

= 6

(v) -3 from 12

= -12 – 3 = -15

(vi) -6 from -3

= -3 – 3 (-6)

= – 3 + 6 = + 3

**Question 7.**

Subtract:

(i) -123 from 453

(ii) -78 from -12

(iii) 329 and -124

(iv) -222 from 0

**Solution:**

(i) -123 from 453

= + 453 – (-123)

= 453 + 123 = 576

(ii) -78 from -12

= -12 – (-78)

= -12 + 78 = 66

(iii) 329 and-124

= + 329 – 124 = 205

(iv) -222 from 0

= 0 – (-222)

= 0 + 222 = 222

**Question 8.**

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:**

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