Which of the following statements are true or false? Give reasons for your answer.
i) ‘Today is a bright day’ is an unambiguous statement.
ii) The sum of the interior angles of a Pentagon is 450o .
iii) Pre-operational thinking is the characteristic of a two year old child.
iv) If the capacity of a 3D-objects increases, then the volume also increases.
v) Each mathematical problem have a unique solution.
i) False. The statement "Today is a bright day" is not unambiguous because the concept of "bright" can vary depending on context, perception, and individual interpretation. What one person considers bright, another might not.
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Illustrate the use of each of the following in learning the concept of “fraction”.
i) an outdoor activity
ii) newspapers and magazines
सिद्ध कीजिए कि पहली n सम संख्याओं का योग सम संख्या होता है। क्या इसको सिद्ध करने का तर्क आगमनिक है, निगमनिक है या दोनों? अपने उत्तर की पुष्टि कीजिए।
एक बच्ची को आप कैसे यकीन दिलायेंगे कि किसी भी संख्या को 0 से गुणा करने पर उत्तर 0 होता है।
Jaya solved the division problem as shown below:
i) What is the mistake she committed?
ii) What is the probable reason for her mistake?
iii) Devise a strategy to overcome her misconception.
गणित सोपानक्रमिक प्रकृति का है। दो उदाहरणों की सहायता से इस कथन की पुष्टि कीजिए।
जया ने भाग के सवाल को निम्नलिखित तरीके से हल कियाः
i) उसने क्या गलती की?
ii) उसकी इस गलती का संभावित कारण क्या है?
iii) उसकी इस गलत धारणा को दूर करने के लिए एक कार्यनीति तैयार कीजिए।
Here is a think of a number game: ‘Think of a number, then double it, add six to the sum, divide the sum by half and then subtract 3 from it the number’. Did you receive the same number you had started with? Why? Justify.