Identify all the sets to which the number 0.46517 Repeating belongs.
A. rational number
B. irrational number***
C. integer, rational number
D. whole number, integer, rational number
Pls Help me.Thx
any repeating decimal is a rational number
To identify the sets to which the number 0.46517 Repeating belongs, we need to understand the definitions of each set.
A. Rational numbers are numbers that can be expressed as a fraction of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to 0.
B. Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They cannot be written in the form p/q where p and q are integers and q is not equal to 0.
C. Integers are whole numbers (positive, negative, or zero) and their opposites. Rational numbers are numbers that can be expressed as a fraction of two integers.
D. Whole numbers are integers that are greater than or equal to 0. Integer numbers are whole numbers and their opposites. Rational numbers can be expressed as a fraction of two integers.
Now, let's analyze 0.46517 Repeating to determine which sets it belongs to.
Since 0.46517 Repeating can be written as 46517/99999, it can be expressed as a fraction of two integers. Therefore, 0.46517 Repeating is a rational number.
So, the correct answer is A. rational number.