223k views
1 vote
Which subset of numbers contains the number 1/4?

A) Rational numbers
B) Irrational numbers
C) Integers
D) Natural numbers

User Matt Lavin
by
8.1k points

1 Answer

1 vote

Final answer:

The number 1/4 belongs to the subset of rational numbers because it can be expressed as the fraction 1 divided by 4, which is the definition of a rational number.

Step-by-step explanation:

The subset of numbers that contains the number 1/4 is A) Rational numbers. A rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator, and a non-zero denominator. Since 1/4 can be expressed in this form, it fits the definition of a rational number. For example, if you think about what is half of a half, you get one quarter, which is precisely 1/4. Therefore, it is clear that 1/4 is a rational number because it can be written as the fraction 1 divided by 4.

Other subsets of numbers, like irrational numbers, contain numbers that cannot be expressed as a simple fraction; integers are whole numbers without fractions; and natural numbers are counting numbers starting from 1, excluding fractions or decimals. So, 1/4 is not an irrational number, an integer, or a natural number.

User Peaceful James
by
8.3k points