Let’s analyze the number -3 and identify which categories it belongs to.
1. Whole Number: Whole numbers are the set of numbers that include all non-negative integers: 0, 1, 2, 3,... Since -3 is a negative number, it is not a whole number.
- Is -3 a whole number? No.
2. Rational Number: Rational numbers include all integers and fractions. A number is rational if it can be expressed as the quotient or fraction of two integers (where the denominator is not zero). Since -3 can be written as -3/1, it is a rational number.
- Is -3 a rational number? Yes.
3. Only: This option suggests selecting only one category if it fits uniquely, which is not the case here because -3 belongs to multiple categories.
4. Integer: Integers include all positive and negative whole numbers, as well as zero: ..., -3, -2, -1, 0, 1, 2, 3, ... Clearly, -3 is an integer.
- Is -3 an integer? Yes.
5. Counting Number: Counting numbers are also known as natural numbers and include 1, 2, 3, ... These numbers are used for counting and start from 1. Since -3 is negative, it does not belong to the set of counting numbers.
- Is -3 a counting number? No.
6. Zero: Zero (0) is a unique number that stands alone in its category. Since -3 is not equal to 0, it is not zero.
- Is -3 zero? No.
Selecting the appropriate answers, we find:
- Is -3 a whole number? False
- Is -3 a rational number? True
- Is -3 an integer? True
- Is -3 a counting number? False
- Is -3 zero? False
- Is the "Only" option needed? False (since -3 belongs to both rational and integer categories)
Therefore, the correct answers are rational and integer.
