Indian Mathematical Concepts in Polynesian Mathematics

Description: Indian Mathematical Concepts in Polynesian Mathematics
Number of Questions: 14
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Which Indian mathematical concept did the Polynesians adopt and adapt for their own navigational purposes?

  1. The concept of zero

  2. The concept of infinity

  3. The concept of negative numbers

  4. The concept of the square root


Correct Option: A
Explanation:

The Polynesians adopted the Indian concept of zero and adapted it to their own navigational system, known as wayfinding. They used a system of zero points, called marae, to mark their positions and navigate across the vast Pacific Ocean.

What is the Polynesian term for the Indian mathematical concept of zero?

  1. Marae

  2. Moana

  3. Atua

  4. Mana


Correct Option: A
Explanation:

The Polynesian term for the Indian mathematical concept of zero is marae. Marae were sacred places where the Polynesians performed rituals and ceremonies, and they also served as navigational markers.

How did the Polynesians use the concept of zero in their navigational system?

  1. To mark their positions on a map

  2. To calculate the distance between two islands

  3. To determine the direction of the wind

  4. To predict the weather


Correct Option: A
Explanation:

The Polynesians used the concept of zero to mark their positions on a map. They would place a marae at the center of their map, and then they would use other marae to mark the positions of islands and other landmarks.

What other Indian mathematical concepts did the Polynesians adopt and adapt?

  1. The concept of infinity

  2. The concept of negative numbers

  3. The concept of the square root

  4. All of the above


Correct Option: D
Explanation:

The Polynesians adopted and adapted a number of other Indian mathematical concepts, including the concept of infinity, the concept of negative numbers, and the concept of the square root. They used these concepts in their navigational system, as well as in other areas of their lives, such as astronomy and agriculture.

How did the adoption and adaptation of Indian mathematical concepts contribute to the success of Polynesian navigation?

  1. It allowed the Polynesians to navigate across vast distances

  2. It allowed the Polynesians to accurately predict the weather

  3. It allowed the Polynesians to develop a sophisticated system of astronomy

  4. All of the above


Correct Option: D
Explanation:

The adoption and adaptation of Indian mathematical concepts contributed to the success of Polynesian navigation in a number of ways. It allowed the Polynesians to navigate across vast distances, accurately predict the weather, and develop a sophisticated system of astronomy.

What is the significance of the Indian mathematical concepts in Polynesian mathematics?

  1. They demonstrate the interconnectedness of different cultures

  2. They show the importance of mathematics in navigation

  3. They provide evidence of the Polynesians' advanced mathematical knowledge

  4. All of the above


Correct Option: D
Explanation:

The Indian mathematical concepts in Polynesian mathematics are significant because they demonstrate the interconnectedness of different cultures, show the importance of mathematics in navigation, and provide evidence of the Polynesians' advanced mathematical knowledge.

How did the Polynesians use the concept of infinity in their navigation?

  1. They used it to represent the vastness of the ocean

  2. They used it to calculate the distance between two islands

  3. They used it to determine the direction of the wind

  4. They used it to predict the weather


Correct Option: A
Explanation:

The Polynesians used the concept of infinity to represent the vastness of the ocean. They believed that the ocean was infinite, and they used this concept to help them navigate across it.

How did the Polynesians use the concept of negative numbers in their navigation?

  1. They used it to represent the direction of the wind

  2. They used it to calculate the distance between two islands

  3. They used it to determine the direction of the stars

  4. They used it to predict the weather


Correct Option: A
Explanation:

The Polynesians used the concept of negative numbers to represent the direction of the wind. They believed that the wind could blow in both positive and negative directions, and they used this concept to help them navigate across the ocean.

How did the Polynesians use the concept of the square root in their navigation?

  1. They used it to calculate the distance between two islands

  2. They used it to determine the direction of the stars

  3. They used it to predict the weather

  4. They used it to measure the height of waves


Correct Option: A
Explanation:

The Polynesians used the concept of the square root to calculate the distance between two islands. They would use the Pythagorean theorem to calculate the square root of the sum of the squares of the distances between the two islands.

What are some of the challenges that the Polynesians faced in adopting and adapting Indian mathematical concepts?

  1. The lack of written records

  2. The difficulty of translating Indian mathematical concepts into Polynesian languages

  3. The need to adapt Indian mathematical concepts to the Polynesian environment

  4. All of the above


Correct Option: D
Explanation:

The Polynesians faced a number of challenges in adopting and adapting Indian mathematical concepts. These challenges included the lack of written records, the difficulty of translating Indian mathematical concepts into Polynesian languages, and the need to adapt Indian mathematical concepts to the Polynesian environment.

How did the Polynesians overcome the challenges they faced in adopting and adapting Indian mathematical concepts?

  1. They developed their own system of written records

  2. They created a new language for mathematics

  3. They adapted Indian mathematical concepts to their own environment

  4. All of the above


Correct Option: D
Explanation:

The Polynesians overcame the challenges they faced in adopting and adapting Indian mathematical concepts by developing their own system of written records, creating a new language for mathematics, and adapting Indian mathematical concepts to their own environment.

What are some of the legacies of the Indian mathematical concepts in Polynesian mathematics?

  1. The Polynesian navigational system

  2. The Polynesian calendar

  3. The Polynesian system of astronomy

  4. All of the above


Correct Option: D
Explanation:

The legacies of the Indian mathematical concepts in Polynesian mathematics include the Polynesian navigational system, the Polynesian calendar, and the Polynesian system of astronomy.

How can the study of the Indian mathematical concepts in Polynesian mathematics help us to understand the history of mathematics?

  1. It can help us to understand the interconnectedness of different cultures

  2. It can help us to understand the development of mathematical concepts over time

  3. It can help us to understand the importance of mathematics in different cultures

  4. All of the above


Correct Option: D
Explanation:

The study of the Indian mathematical concepts in Polynesian mathematics can help us to understand the interconnectedness of different cultures, the development of mathematical concepts over time, and the importance of mathematics in different cultures.

What are some of the ways that the Indian mathematical concepts in Polynesian mathematics can be used in modern mathematics?

  1. They can be used to develop new mathematical models

  2. They can be used to solve mathematical problems

  3. They can be used to teach mathematics

  4. All of the above


Correct Option: D
Explanation:

The Indian mathematical concepts in Polynesian mathematics can be used to develop new mathematical models, solve mathematical problems, and teach mathematics.

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