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Questions and Answers
What is a proper fraction?
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?
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?
What is a mixed number?
A whole number and a proper fraction
Define a rational number.
Define a rational number.
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.
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.
What is the reciprocal of a non-zero number x?
What is the reciprocal of a non-zero number x?
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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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