Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest
Maritza plays in a softball league. She wants to know about how many players in the league also play basketball. Because there are 225 players in the league, she chooses the names of 45 of the players and asks them whether they also play basketball. Describe the population and the sample. What is the size of the population, and what is the size of the sample? Show your work.
Population: All the players in the softball league.
Size of the population: 225 players.
Sample: The 45 players that Maritza chose and asked about playing basketball.
Size of the sample: 45 players.
Maritza's sample is a subset of the population. She surveyed 45 out of 225 players in the league, which is about 20% of the population. Maritza can use the results from her sample to make an estimate about the proportion of basketball players in the entire population.
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses
natural numbers, whole numbers, integers, rational numbers
rational numbers, integers, whole numbers, natural numbers
integers, rational numbers, natural numbers, whole numbers
irrational numbers, square roots, endless decimals, pi
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses
natural numbers, whole numbers, integers, rational numbers
integers, rational numbers, natural numbers, whole numbers
rational numbers, integers, whole numbers, natural numbers
irrational numbers, square roots, endless decimals, pi
bot can you answer the question
Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.(1 point)
Responses
irrational
irrational
negative
negative
improper
improper
rational
Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?(1 point)
Responses
1. natural numbers, whole numbers, integers, rational numbers
2. rational numbers, integers, whole numbers, natural numbers
3. integers, rational numbers, natural numbers, whole numbers
4. irrational numbers, square roots, endless decimals, pi
@Bot pick which one is correct out of the 4
To determine the hierarchy of number sets within the real number system from largest to smallest, we need to understand the relationships between these sets. Here's an accurate hierarchy:
1. Complex Numbers: This set includes all real numbers and imaginary numbers. Complex numbers can be written in the form of a + bi, where 'a' and 'b' are real numbers, and 'i' is the imaginary unit (√(-1)).
2. Real Numbers: It includes all rational and irrational numbers. Real numbers can be represented on a number line. They include integers, fractions, decimals, and irrational numbers like π (pi) and √2 (square root of 2).
3. Rational Numbers: This set contains all numbers that can be expressed as a fraction where the numerator and denominator are integers. Rational numbers are terminating (0.75) or repeating decimals (0.333...).
4. Integers: This set consists of positive and negative whole numbers and zero (..., -3, -2, -1, 0, 1, 2, 3, ...).
5. Natural Numbers: Also known as counting numbers, this set includes positive whole numbers starting from 1 (1, 2, 3, 4, ...).
So, the hierarchy of number sets within the real number system from largest to smallest is: Complex Numbers > Real Numbers > Rational Numbers > Integers > Natural Numbers.
Elpida swims in a pool that is 24 feet across. The circumference of the pool is 24 times π. Can you tell her the exact circumference of the pool?
1. Complex numbers (including real and imaginary numbers)
2. Real numbers (including rational and irrational numbers)
3. Rational numbers (including integers and whole numbers)
4. Integers (including positive and negative integers)
5. Whole numbers (including 0 and positive integers)