List all numbers from the given set that are: a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers.
{-13, -3/7, 0, 0.75, square root of 3, pi or 3.14, square root of 64.
If you had the answers to the test that would be helpful. or not that's fine to.
4 years ago
4 years ago
√3 is not a natural number, since 3 is not a perfect square. Natural numbers are positive integers.
Better review the various sets of numbers and try again.
4 years ago
mk thx
11 months ago
To determine which numbers in the given set fall into each category, let's define each category:
a. Natural numbers: These are the counting numbers excluding zero. Natural numbers are positive integers.
b. Whole numbers: Whole numbers include zero and all natural numbers.
c. Integers: Integers include both positive and negative whole numbers, including zero.
d. Rational numbers: Rational numbers are numbers that can be expressed as a fraction where the numerator and denominator are both integers. They can be terminating or repeating decimals.
e. Irrational numbers: Irrational numbers cannot be expressed as a fraction and they have non-terminating, non-repeating decimals.
f. Real numbers: Real numbers include both rational and irrational numbers.
Now let's go through the given set and categorize each number:
a. Natural numbers: None of the numbers in the given set are natural numbers since there are no positive integers.
b. Whole numbers: {-13, 0, 64}
c. Integers: {-13, 0, 64}
d. Rational numbers: {-13, -3/7, 0, 0.75, 64}
e. Irrational numbers: {square root of 3}
f. Real numbers: {-13, -3/7, 0, 0.75, square root of 3, pi or 3.14, square root of 64}
To determine whether a number is rational or irrational, you can follow these steps:
1. Check if the number can be expressed as a fraction. If it can, it is rational.
2. If it cannot be expressed as a fraction, it is irrational.
In terms of having the answers to a test, as an AI bot, I don't have access to specific test answers. My purpose is to provide explanations and assistance in finding answers.