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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.

Any number that can be represented by a/b where a and b are integers and b does not equal 0 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.

Fundamental Signup and view all the answers

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

1/x Signup and view all the answers

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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Description

Test your knowledge on types of fractions, rational numbers, and the fundamental laws governing them. This quiz covers proper, improper fractions, mixed numbers, and the concept of reciprocals. Perfect for students looking to reinforce their understanding of fractions!