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.
oh and it said to do a. and my answer is square root of 3 and 64, 0 and -13. am i right?
mk thx
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.
√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.