Describe all the sets and subsets the number −25 belongs to.(1 point)
Responses
Rational Numbers
Rational Numbers
Rational Numbers, Integers, Whole Numbers
Rational Numbers, Integers, Whole Numbers
Rational Numbers, Integers
Rational Numbers, Integers
Rational Numbers, Integers, Whole Numbers, Natural Numbers
Rational Numbers, Integers, Whole Numbers, Natural Numbers
Which of the following is a rational number?
Responses
7–√
square root of 7
π
pi
88√
the fraction with numerator 8 and denominator square root of 8
7.8
The number -25 belongs to the following sets and subsets:
1. Rational Numbers: -25 is a rational number because it can be expressed as a fraction, -25/1.
2. Integers: -25 is an integer because it is a whole number that can be negative or zero, without any decimal or fractional part.
3. Whole Numbers: -25 is a whole number because it is an integer that is not a fraction or a decimal, including zero and the negative numbers.
4. Natural Numbers: -25 is not a natural number because natural numbers are positive integers that are greater than or equal to zero. Since -25 is a negative integer, it is not a natural number.
To determine which sets and subsets the number -25 belongs to, we need to understand the hierarchy of number sets.
1. Natural Numbers: These are positive integers that start from 1 and continue indefinitely (1, 2, 3, ...).
-25 is not a natural number as it is negative.
2. Whole Numbers: These include zero and all natural numbers (0, 1, 2, 3, ...).
-25 is not a whole number as it is negative.
3. Integers: These include all the natural numbers, their negatives, and zero (... -3, -2, -1, 0, 1, 2, 3, ...).
-25 is an integer because it falls on the negative side of the number line.
4. Rational Numbers: These are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero. All integers are rational numbers since they can be expressed as a fraction with a denominator of 1.
-25 is a rational number because it can be expressed as -25/1.
From the options provided, the correct answer is:
Rational Numbers, Integers