*Q.1. For the following, write the opposite of it.*

*(i) Increment of weight.*

Ans. Decrement of weight.

*(ii) 40 Km west.*

Ans. 40 Km east.

*(iii) 456 AD*

Ans. 456 BC

*(iv) 900 Rs loss*

Ans. 900 Rs gain

*(v) 200 m below sea level.*

Ans. 200 m above sea level.

* *

* **Q.2. Express the following in terms of integers with signs.*

* **(i) Five hundred rupees is deposited.*

Ans. +500

* **(ii) Eight hundred rupees is withdrawn.*

Ans. – 800

*(iii) The altitude of a plane is three thousand meters above the sea level.*

Ans. +3000

*(iv) The depth of a submarine is three hundred meters below sea level. *

Ans. – 300

* *

*Q.3. Express the given on a number line.*

*(i) +6*

*(ii) – 9*

*(iii) +4*

*(iv) – 2*

*(v) – 5*

*Q.4. For the given scenarios, answer the following:*

*(i) If the point C is +5, then what is point G?*

*(ii) Check whether the point A is a positive or negative integer.*

*(iii) For the point H and C, write the integer for it.*

*(iv) Which point has the highest value in the number line?*

*(v) Arrange the points in the increasing order.*

**Ans. **(i) Point G is – 6.

(ii) It is a positive integer (+2).

(iii) – 2 represents point H and +5 represents point C.

(iv) The point D has the highest value and its value is +8.

(v) E < F < G < H < A < B < C < D

* *

*Q.5. The temperature on a particular day is given below for various cities.*

Place |
Temperature |

Ladakh |
\(5^{\circ}C\) below \(0^{\circ}C\) |

Sikkim |
\(3^{\circ}C\) below \(0^{\circ}C\) |

Chennai |
\(30^{\circ}C\) above \(0^{\circ}C\) |

Bangalore |
\(23^{\circ}C\) above \(0^{\circ}C\) |

Agra |
\(1^{\circ}C\) below \(0^{\circ}C\) |

* **(i) Convert the following temperature in the form of aninteger.*

*(ii) Represent the following places in number scale.*

*(iii) Which is the hottest place?*

*(iv) What are the places whose temperature is below \(0^{\circ}C\)*

Ans. (i) Ladakh = \(-5^{\circ}C\)

Sikkim = \(-3^{\circ}C\)

Chennai = \(+30^{\circ}C\)

Bangalore = \(+23^{\circ}C\)

Agra = \(-1^{\circ}C\)

(ii)

(iii) The hottest place of all is Chennai.

(iv) Ladakh and Sikkim are the places which are below \(0^{\circ}C\).

* *

*Q.6. In the given pair, which lies on the right side in the number line.*

*(i) 3,7 (ii) -4,-5 (iii) -1,0 (iv) 12,-15 (v) -1,1 (vi) -122,2*

Ans. (i) 7. As 7 is > than 3

(ii) -4. As – 4 is greater than – 5.

(iii) 0. As 0 is > than – 1.

(iv) 12. As 12 is > than – 15.

(v) 1. As 1 is > than – 1.

(vi) 2. As 2 is > than – 122.

* *

*Q.7. For the given pair, write all the integers in-between them.*

*(i) 1 and 8*

Ans. 2, 3, 4, 5, 6, 7

*(ii) 2 and -5*

Ans. – 4, -3, -2, -1, 0, 1

*(iii) -21 and -27*

Ans. -26, -25, -24, -23, -22

*(iv) -15 and -20*

Ans. -19, -18, -17, -16

* *

*Q.8. (i) Give 5 integers which are greater than – 15.*

Ans. – 14, -13, -12, -11, -10

*(ii) Give 5 integers which are less than -5*

Ans. -6, -7, -8, -9, -10

* *

*Q.9. State whether the following are True or False:*

*(i) – 5 is on the right to – 9 on the number line.*

Ans. True ( -5 > -9)

*(ii) – 50 is on the right to -25 on the number line.*

Ans. False ( -25 > -50 )

*(iii) – 1 is the smallest negative integer.*

Ans. False, as – 1 is the largest negative integer.

*(iv) -26 is bigger than -27.*

Ans. True (-26 > -27)

*Q.10. With the help of number line, answer the following.*

*(i) What is the number when we move from -3 to four places right to it?*

*(ii) What is the number when we move from 3 to five places left to it?*

* (iii) What is the direction if we move from -6 to -11? *

* (iv) What is the direction if we move from -2 to 3?*

Ans.

(i)

We will move to 1.

(ii)

We will reach – 2.

(iii)

We move in the left direction

(iv)

We should move in the right direction.