question_answer 1)

Following number line shows the temperature in degree celsius \[\left( {}^\circ \text{C} \right)\] at different places on a particular day: (a) Observe this number line and write the temperature of the places marked on it. (b) What is the temperature difference between the hottest and the coldest places among the above? (c) What is the temperature difference between Lahulspiti and Srinagar?              (d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?

Answer:

                (a)         

Place	Temperature
Lahulspiti	\[-{{8}^{o}}C\]
Srinagar	\[-{{2}^{o}}C\]
Shimla	\[\text{+ 5 }\!\!{}^\circ\!\!\text{ C}\]
Ooty	\[\text{+ 14 }\!\!{}^\circ\!\!\text{ C}\]
Bangalore	\[\text{+ 22 }\!\!{}^\circ\!\!\text{ C}\]

(b) Temperature difference between the hottest and the coldest places = Temperature of Bangalore - Temperature of Lahulspiti \[=\text{22}{}^\circ \text{C}-\left( -\text{8}{}^\circ \text{C} \right)\] \[=\text{22}{}^\circ \text{C}+\text{8}{}^\circ \text{C}\] \[=\text{3}0{}^\circ \text{C}\] (c) Temperature difference between Lahulspiti and Srinagar = Temperature of Srinagar ? Temperature of Lahulspiti \[=-{{2}^{o}}C-(-8{{\,}^{o}}C)\] \[=-\text{2}{}^\circ \text{C}+\text{8}{}^\circ \text{C}\] \[=\text{6}{}^\circ \text{C}\] (d) Temperature of Srinagar and Shimla together = Temperature of Srinagar + Temperature of Shimla \[=-\text{ 2}{}^\circ +\text{5}{}^\circ \text{C}\] \[=\text{3}{}^\circ \text{C}\] Temperature at Shimla \[=\text{ 5}{}^\circ \text{C}\] Temperature at Srinagar \[=-\text{ 2}{}^\circ \text{C}.\] Therefore, we can say that temperature of Srinagar and Shimla together is less than the temperature at Shimla but the temperature of Srinagar and Shimla together is not less than the temperature at Srinagar.