Mathematics Quiz

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Questions and Answers

Which subdiscipline of mathematics is concerned with the properties of numbers?

  • Geometry
  • Number theory (correct)
  • Analysis
  • Algebra

Which subdiscipline of mathematics is concerned with the study of shapes and their properties?

  • Algebra
  • Geometry (correct)
  • Analysis
  • Number theory

What do mathematicians use to prove properties of abstract objects?

  • Pure reason (correct)
  • Intuition
  • Experimentation
  • Observation

What are the major subdisciplines of modern mathematics?

<p>Number theory, algebra, geometry, and analysis (A)</p> Signup and view all the answers

What are the objects of study in modern mathematics?

<p>Abstract objects (A)</p> Signup and view all the answers

Which of the following statements about the least common multiple (lcm) is true?

<p>The lcm of two integers a and b is the smallest positive integer that is divisible by both a and b. (C)</p> Signup and view all the answers

Which of the following is a true statement about the least common multiple (lcm)?

<p>The lcm of two integers a and b is always greater than or equal to both a and b. (C)</p> Signup and view all the answers

What is the least common multiple (lcm) of 4 and 6?

<p>12 (B)</p> Signup and view all the answers

What is the least common multiple (lcm) of 9 and 15?

<p>45 (C)</p> Signup and view all the answers

What is the least common multiple (lcm) of 12 and 18?

<p>36 (C)</p> Signup and view all the answers

Which of the following statements about the least common multiple (lcm) is true?

<p>The lcm of two numbers is always a multiple of both numbers. (D)</p> Signup and view all the answers

What is the least common multiple (lcm) of 7 and 9?

<p>63 (D)</p> Signup and view all the answers

What is the least common multiple (lcm) of 10 and 12?

<p>60 (A)</p> Signup and view all the answers

What is the least common multiple (lcm) of 15 and 25?

<p>75 (A)</p> Signup and view all the answers

What is the least common multiple (lcm) of 8 and 12?

<p>24 (B)</p> Signup and view all the answers

Flashcards

Number Theory

A branch of mathematics focusing on the properties of numbers.

Geometry

The study of shapes, their properties, and relationships.

Pure Reason

The method used by mathematicians to prove properties of abstract objects.

Major subdisciplines of mathematics

The four main branches of modern mathematics.

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Objects of Study in Modern Mathematics

The objects of study in modern mathematics, often abstract and theoretical.

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Least Common Multiple (LCM)

The smallest positive integer divisible by both 'a' and 'b'.

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LCM Relationship

The LCM of two integers 'a' and 'b' is always greater than or equal to both 'a' and 'b'.

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LCM of 4 and 6

12

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LCM of 9 and 15

45

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LCM of 12 and 18

36

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LCM Property

The LCM of two numbers is always a multiple of both numbers.

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LCM of 7 and 9

63

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LCM of 10 and 12

60

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LCM of 15 and 25

75

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LCM of 8 and 12

24

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