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Decimal System and Zero in Indian Mathematics

Description: This quiz is designed to assess your understanding of the decimal system and the concept of zero in Indian mathematics. It covers topics such as the origin and development of the decimal system, the contributions of Indian mathematicians to the field, and the significance of zero in various mathematical operations.
Number of Questions: 15
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Tags: decimal system zero indian mathematics history of mathematics
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Which ancient Indian text is considered to be the earliest known source that mentions the decimal system?

  1. Rigveda

  2. Yajurveda

  3. Atharvaveda

  4. Samaveda


Correct Option: B
Explanation:

The Yajurveda, one of the four Vedas, contains references to the decimal system, including the use of the terms "dasha" (ten) and "shatam" (hundred).

Who is credited with developing the concept of zero as a mathematical entity?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: A
Explanation:

Aryabhata, an Indian mathematician and astronomer, is widely recognized for introducing the concept of zero as a mathematical entity in the 5th century CE.

What was the primary motivation behind the development of the decimal system in Indian mathematics?

  1. Astronomical Calculations

  2. Trade and Commerce

  3. Religious Rituals

  4. Architectural Design


Correct Option: A
Explanation:

The decimal system was primarily developed in India to facilitate astronomical calculations, particularly for tracking the movement of celestial bodies and predicting eclipses.

Which Indian mathematician is known for his work on the decimal system and the concept of zero in the 7th century CE?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: B
Explanation:

Brahmagupta, an Indian mathematician and astronomer, made significant contributions to the development of the decimal system and the concept of zero in the 7th century CE.

What is the significance of the decimal point in the decimal system?

  1. It separates the integer part from the fractional part.

  2. It indicates the number of digits in a number.

  3. It represents the base of the number system.

  4. It determines the sign of the number.


Correct Option: A
Explanation:

The decimal point is used to separate the integer part of a number from the fractional part, allowing for the representation of both whole numbers and fractions in a single system.

Which Indian mathematician is known for his work on the decimal system and the concept of zero in the 12th century CE?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: C
Explanation:

Bhaskara II, an Indian mathematician and astronomer, made significant contributions to the decimal system and the concept of zero in the 12th century CE.

What is the mathematical symbol used to represent zero in the decimal system?

  1. 0

  2. 1

  3. 5

  4. 10


Correct Option: A
Explanation:

The mathematical symbol "0" is used to represent zero in the decimal system.

Which Indian mathematician is known for his work on the decimal system and the concept of zero in the 19th century CE?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option: D
Explanation:

Srinivasa Ramanujan, an Indian mathematician, made significant contributions to the decimal system and the concept of zero in the 19th century CE.

What is the base of the decimal system?

  1. 2

  2. 5

  3. 10

  4. 16


Correct Option: C
Explanation:

The base of the decimal system is 10, which means that it uses ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) to represent numbers.

How is the decimal system used in everyday life?

  1. Currency

  2. Measurement

  3. Timekeeping

  4. All of the above


Correct Option: D
Explanation:

The decimal system is used in everyday life for various purposes, including currency, measurement, and timekeeping.

What is the significance of zero in mathematical operations?

  1. It allows for the representation of negative numbers.

  2. It enables the concept of place value.

  3. It facilitates the operations of addition and subtraction.

  4. All of the above


Correct Option: D
Explanation:

Zero plays a crucial role in mathematical operations, allowing for the representation of negative numbers, enabling the concept of place value, and facilitating the operations of addition and subtraction.

Which Indian mathematician is known for his work on the decimal system and the concept of zero in the 20th century CE?

  1. Aryabhata

  2. Brahmagupta

  3. Bhaskara II

  4. Srinivasa Ramanujan


Correct Option:
Explanation:

None of the listed mathematicians made significant contributions to the decimal system and the concept of zero in the 20th century CE.

What is the decimal equivalent of the binary number 1011?

  1. 11

  2. 13

  3. 15

  4. 17


Correct Option: A
Explanation:

To convert the binary number 1011 to decimal, we multiply each digit by its corresponding power of 2 and add the results. 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0 = 8 + 0 + 2 + 1 = 11.

What is the decimal equivalent of the hexadecimal number 1A?

  1. 26

  2. 27

  3. 28

  4. 29


Correct Option: A
Explanation:

To convert the hexadecimal number 1A to decimal, we multiply each digit by its corresponding power of 16 and add the results. 1 * 16^1 + 10 * 16^0 = 16 + 10 = 26.

What is the decimal equivalent of the octal number 75?

  1. 49

  2. 51

  3. 53

  4. 55


Correct Option: A
Explanation:

To convert the octal number 75 to decimal, we multiply each digit by its corresponding power of 8 and add the results. 7 * 8^1 + 5 * 8^0 = 56 + 5 = 61.

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