Question

3. The set below only contains which types of

numbers?
{-1,5, 3, 15, 3.75, 36, v81, 100}
A. Irrational Numbers
B. Rational Numbers
C. Integers
D. Natural Numbers

Answer 1

The set {-1, 5, 3, 15, 3.75, 36, v81, 100} contains only rational numbers because each element can be expressed as a fraction or an exact decimal.

Step-by-step explanation:

The set {-1, 5, 3, 15, 3.75, 36, v81, 100} consists of various types of numbers, each having its own classification. Looking at each number:

• -1 is an integer.
• 5, 3, and 15 are all integers and also natural numbers.
• 3.75 is a decimal number, which is also a rational number because it can be expressed as a fraction.
• 36 and 100 are both integers and natural numbers, hence they are also rational.
• v81 is the square root of 81, which equals 9, an integer and natural number.

None of the numbers in the set are irrational numbers, as all can be expressed as either exact decimals or fractions. Therefore, the correct answer to what types of numbers are in the set is B. Rational Numbers.