Chapter 5: Negative Numbers and Integers – Exercise 5.1

Negative Numbers and Integers – Exercise – 5.1 – Q.1

Ans. 

(i) Decrease of population.

(ii) with drawing money from a bank

(iii) Spending money.

(iv) Going South

(v) Loosing a weight of 4 kg.

(vi) A gain of Rs 1000.

(vii) – 25.

(viii) 15.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.2

Ans. 

(i) 25° above zero is → + 25°.

(ii) 5° below zero → – 5°.

(iii) A profit of 800 → + 800.

(iv) A deposit of 2500 → + 2500.

(v) 3 km above sea level → + 3.

(vi) 2 km below sea level → – 2.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.3

Ans. 

Integers are as shown in the number line.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.4

Ans. 

(i) since 'o' is greater than all negative integers.

Therefore - 4 < 0.

- 4 is smaller.

(ii) we know that > 3 on the number line -3 is to left of 12 ∙ 50 - < 12.

- 3 is smaller.

(iii) 8, 13.

WKT on the number line 8 is to left of 13. so 8 < 13.

(iv) – 15, – 27.

W.K.T on the number line -27 is to left of -27

So -27 < -15.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.5

Ans. ​

(i) 3, -4.

Sr. WKT on the number line 3 is to right of – 4.

So 3 > – 4.

3 is larger.

(ii) -12, – 8.

WKT on the number line -12 is to left of – 8

so -12 < – 8

- 8 is larger

(iii) 0,7.

Since '0' is less than all positive integers.

Therefore 7 > 0

7 is Larger

(iv) 12, –18.

WKT on the number line -18 is to left of 12.

So 12 > – 18

12 is Larger.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.6

Ans. ​

(i) integers between -7 and 3 are -6, 5, -4, -3, -2, -1, 0, 1, 2.

(ii) integers between -2 and 2 are. -1, 0, 1

(iii) integers between -4 and 0 are. -3, -2, -1.

(iv) integers between 0 and 3 are 1, 2.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.7

Ans. ​

(i) integers between -4 and 3 are -3, -2, -1, 0, 1, 2.

∴  No of integers between -4 and 3 are 6.

(ii) integers between 5 and 12 are 6, 7, 8, 9, 10, 11.

∴ No of integers between 5 and 12 are 6.

(iii) integers between -9 and -2 are -8, -7, -6, -5, -4, -3.

∴  No of integers between -9 and -2 are 6.

(iv) Integers between 0 and 5 are 1, 2, 3, 4.

∴  No of integers between 0 and 5.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.8

Ans. ​

(i) 2 < 5

(ii) 0 < 3

(iii) 0 > -7

(iv) -18 < 15

(v) – 235 > – 532

(vi) – 20 < 20

 

Negative Numbers and Integers – Exercise – 5.1 – Q.9

Ans. ​

(i) – 12, – 9 , – 8, 0, 1, 5, 15.

(ii) – 320, – 106, – 7, 107, 186.

 

Negative Numbers and Integers – Exercise – 5.1 – Q.10

Ans. ​

(i) 8, 7, 6, 0, 2, – 5, – 9, – 15.

(ii) 124, – 74, – 89, – 154, – 205.