To which subset of real numbers does -4.6 belong?
A) Integers
B) Irrational Numbers
C) Rational Numbers****
D) Integers and Rational Numbers
yes -46/10
thank u !!
The number -4.6 belongs to the subset of rational numbers.
To determine the subset of real numbers to which -4.6 belongs, we need to understand the characteristics of each subset of real numbers and then analyze the given number.
A) Integers: Integers are whole numbers that can be positive, negative, or zero. They do not include numbers with decimal parts. Since -4.6 has a decimal part, it does not belong to the subset of integers.
B) Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction and have an infinite number of non-recurring decimal places. These include numbers like π (pi) and √2 (square root of 2). Since -4.6 is a terminating decimal (it ends after one decimal place), it does not fall into the subset of irrational numbers.
C) Rational Numbers: Rational numbers are numbers that can be expressed as fractions, where the denominator is not zero. They include integers, fractions, and terminating decimals. Since -4.6 can be expressed as the fraction (-46/10), and it is a terminating decimal, it belongs to the subset of rational numbers. Therefore, the correct answer is C) Rational Numbers.
D) Integers and Rational Numbers: Since -4.6 is not an integer, it cannot be included in the subset of integers and rational numbers (D).