A number that can be written as a fraction of two integers is known as what type of number?

A number that can be written as a fraction of two integers is known as what type of number?

• A. whole number
• B. decimal number
• C. rational number
• D. integer

Answer: (C)

A number that can be expressed as a fraction of two integers is defined as a rational number. This includes any number that can be represented in the form \(\frac{a}{b}\), where \(a\) and \(b\) are integers, and \(b\) is not zero. Rational numbers encompass integers (since any integer \(n\) can be written as \(\frac{n}{1}\)), fractions, and finite or repeating decimals. In this context, whole numbers are non-negative integers (0, 1, 2, 3,...) and do not include fractions. Decimal numbers refer more broadly to numbers represented in decimal form. While some decimal numbers are rational (like 0.75 or 0.333...), others are not (such as π or the square root of 2), as they cannot be expressed as a fraction of two integers. Integers specifically refer to whole numbers that can be positive, negative, or zero, but do not include non-integer fractions. Thus, rational numbers is the correct term to describe the type of numbers that can be written as a fraction of two integers.

A number that can be expressed as a fraction of two integers is defined as a rational number. This includes any number that can be represented in the form (\frac{a}{b}), where (a) and (b) are integers, and (b) is not zero. Rational numbers encompass integers (since any integer (n) can be written as (\frac{n}{1})), fractions, and finite or repeating decimals.

In this context, whole numbers are non-negative integers (0, 1, 2, 3,...) and do not include fractions. Decimal numbers refer more broadly to numbers represented in decimal form. While some decimal numbers are rational (like 0.75 or 0.333...), others are not (such as π or the square root of 2), as they cannot be expressed as a fraction of two integers. Integers specifically refer to whole numbers that can be positive, negative, or zero, but do not include non-integer fractions. Thus, rational numbers is the correct term to describe the type of numbers that can be written as a fraction of two integers.