The number −5.25 falls into what mathematical classification?
a Natural number only
b Rational number only
c Integer only
d Natural number, whole number, rational number, and integer
The number −5.25 falls into the classification of b Rational number only.
To determine the classification of the number -5.25, we need to examine each option:
a) Natural numbers: Natural numbers are positive counting numbers (1, 2, 3, ...). Since -5.25 is a negative number, it does not fall into this classification.
b) Rational numbers: Rational numbers are numbers that can be expressed as a fraction or ratio of two integers. -5.25 can be expressed as -525/100, which is a ratio of two integers. Therefore, it falls into this classification.
c) Integer: Integers include both positive and negative whole numbers, as well as zero. -5.25 is a negative number and not a whole number, so it does not fall into this classification.
d) Natural number, whole number, rational number, and integer: As mentioned before, -5.25 is a negative number and not a whole number, so it does not fall into the classifications of natural number, whole number, or integer.
Based on these considerations, the correct answer is b) Rational number only.