what type of number is 5 over seven in the number system

The number \( \frac{5}{7} \) is classified as a **rational number** in the number system. Here's why:

- A **rational number** is any number that can be expressed as the quotient (or fraction) of two integers, where the denominator is not zero. In this case, 5 and 7 are both integers, and since 7 is not zero, \( \frac{5}{7} \) fits this definition.

- Rational numbers include all fractions, integers (since any integer can be written as a fraction with a denominator of 1), and terminating or repeating decimals.

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Here are five related questions:
1. How do rational numbers differ from irrational numbers?
2. Can \( \frac{5}{7} \) be written as a decimal, and if so, is it terminating or repeating?
3. What are the properties of rational numbers in arithmetic operations?
4. How are rational numbers represented on the number line?
5. What is the difference between rational numbers and real numbers?

**Tip**: Rational numbers can always be written as either terminating or repeating decimals, whereas irrational numbers cannot.

What type of number is 5 over seven in the number system?

Discover why 5/7 is classified as a rational number in the number system. This solution explains key concepts in number systems, particularly rational numbers, fractions, and how they are defined. Suitable for students in Grades 5-7.

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