Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?

Answer 1

The accurate hierarchy of number sets within the real number system, from largest to smallest, is as follows:

1. Real numbers: This set includes all rational and irrational numbers. It is the largest set within the real number system.

2. Irrational numbers: This set includes numbers that cannot be expressed as a ratio of two integers, such as √2, π, or e. Irrational numbers are non-repeating and non-terminating decimals.

3. Rational numbers: This set includes numbers that can be expressed as a ratio of two integers, such as 1/2, 0.75, or -3. Rational numbers can be either terminating (such as 2.5) or repeating (such as 0.333...).

4. Integers: This set includes all positive and negative whole numbers (0, 1, -1, 2, -2, etc.) along with zero.

5. Whole numbers: This set includes all positive whole numbers and zero (0, 1, 2, 3, etc.). It does not include negative numbers.

6. Natural numbers: This set includes all positive whole numbers (1, 2, 3, etc.). It does not include zero or negative numbers.

So, the accurate hierarchy of number sets within the real number system, from largest to smallest, is Real numbers > Irrational numbers > Rational numbers > Integers > Whole numbers > Natural numbers.

Answer 2

Here are the Correct answers 100% percent

Question 1:Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?
Answer 1: rational numbers, integers, whole numbers, natural numbers

Question 2:Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another.
Answer 2:Irrational

Question 3:To which sets of real numbers does zero belong?
Answer 3:whole numbers, integers, and rational numbers

Question 4:Use the image to answer the question. A cube has an edge length, a
, that is a rational number of centimeters. Identify which measurement will require the use of irrational numbers.
Answer 4 :the diagonal of one of the cube’s faces

Question 5:Which of the following numbers could be used to specify how many cups of flour should be used in a bread recipe?
Answer 5:
2 3/4

Hope this helps.....it will.....but here are the answers...

Answer 3

I apologize for the incorrect response in my previous answer. Here are the correct answers:

Question 1: The accurate hierarchy of number sets within the real number system, from largest to smallest, is natural numbers, whole numbers, integers, rational numbers.

Question 2: The set of numbers that are real numbers but cannot be expressed as one integer divided by another is called irrational numbers.

Question 3: Zero belongs to the sets of whole numbers, integers, and rational numbers.

Question 4: The measurement that will require the use of irrational numbers is the diagonal of one of the cube's faces.

Question 5: The number that could be used to specify how many cups of flour should be used in a bread recipe is 2 3/4.

Thank you for pointing out the mistakes, and I apologize for any confusion caused.

Answer 4

Which list shows an accurate hierarchy of number sets within the real number system, from largest to smallest?

Answer 5

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