Two friends Avvye and Shubham were plantong trees along the boundary of their society. While doing this,Avvye said that they could only plant the number or a natural number or a positive integer. Shubham agreed with this thought. Are both of them correct? Define natural number, integers, rational numbers and irrational numbers. What values are depicted from their activity?
Answers
Answer:
Both are correct
Step-by-step explanation:
Both are correct because a positive integer is just a whole number, same as the others.
Answer:
Step-by-step explanation:
(i) Yes, both Avvye and Shubham are correct. In mathematics, a natural number or a positive integer refers to a whole number greater than zero, such as 1, 2, 3, and so on. By stating that they can only plant a number of trees that is a natural number or a positive integer, Avvye is implying that they cannot plant a fractional or negative number of trees, which aligns with the concept of counting and whole numbers.
(ii) Definitions:
- Natural Numbers: Natural numbers are the set of positive integers starting from 1 and extending infinitely, such as 1, 2, 3, 4, and so on.
- Integers: Integers are a set of whole numbers, including zero and its negative counterparts. It consists of positive numbers (natural numbers), negative numbers, and zero, such as -3, -2, -1, 0, 1, 2, 3, and so on.
- Rational Numbers: Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not zero. They can be written in the form of p/q, where p and q are integers and q is not equal to zero. For example, 1/2, -3/4, 5/1 are all rational numbers.
- Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a ratio of two integers. They cannot be written in the form of p/q, where p and q are integers and q is not equal to zero. Examples of irrational numbers include π (pi) and √2 (square root of 2), which cannot be expressed as fractions.
(iii) The values depicted from Avvye and Shubham's activity include:
- Environmental awareness: By planting trees, they are showing their concern for the environment and the importance of greenery.
- Cooperation and teamwork: They are working together to plant trees along the boundary of their society, indicating their cooperation and teamwork.
- Responsibility: By taking the initiative to plant trees, they are demonstrating a sense of responsibility towards their society and the environment.
- Positive attitude: Both Avvye and Shubham agreed on the concept of planting whole numbers of trees, showcasing a positive and constructive mindset.
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