Fractions and Rational Numbers Quiz

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Questions and Answers

What is a proper fraction?

  • A whole number and a proper fraction
  • A fraction in which the numerator is less than the denominator (correct)
  • Any number that can be represented by a/b where a and b are integers
  • A fraction in which the numerator is greater than or equal to the denominator

What is an improper fraction?

  • A whole number and a proper fraction
  • Any number that can be represented by a/b where a and b are integers
  • A fraction in which the numerator is greater than or equal to the denominator (correct)
  • A fraction in which the numerator is less than the denominator

What is a mixed number?

A whole number and a proper fraction

Define a rational number.

<p>Any number that can be represented by a/b where a and b are integers and b does not equal 0</p> Signup and view all the answers

The value of a fraction does not change if its numerator and its denominator are multiplied by the same number. This is known as the __________ Law of Fractions.

<p>Fundamental</p> Signup and view all the answers

What is the reciprocal of a non-zero number x?

<p>1/x</p> Signup and view all the answers

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Study Notes

Fraction Types

  • Proper Fraction: The numerator is less than the denominator (e.g., 3/4).
  • Improper Fraction: The numerator is greater than or equal to the denominator (e.g., 5/4 or 4/4).
  • Mixed Number: A combination of a whole number and a proper fraction (e.g., 2 1/4).

Rational Numbers

  • Defined as any number that can be expressed in the form a/b, where both a and b are integers, and b is not zero.

Fundamental Law of Fractions

  • States that multiplying both the numerator and denominator of a fraction by the same non-zero number does not change its value. For example, a/b = ac/bc, based on the principle that c/c equals 1.

Reciprocals

  • The reciprocal of a non-zero number x is represented as 1/x, known as its multiplicative inverse.

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