Which set of numbers would include the simplified value of -100/5

Question

? (1 point)
• Real, Irrational, Integer
• Real, Irrational, Integer, Whole
• Real, Rational, Integer, Whole
• Real, Rational, Integer

Answer 1

To simplify the fraction \(-100/5\), we compute:

\[ -100 / 5 = -20 \]

Now we need to categorize \(-20\):

1. Real: Yes, \(-20\) is a real number.
2. Irrational: No, \(-20\) is not irrational; it can be expressed as a fraction.
3. Integer: Yes, \(-20\) is an integer.
4. Whole: No, \(-20\) is not a whole number (whole numbers are non-negative integers).

Based on this categorization, the correct set of numbers that include \(-20\) is:

Real, Rational, Integer.

Thus, the correct answer is: Real, Rational, Integer.

Answer 2

Describe the set of numbers that are real numbers but cannot be expressed as one integer divided by another. (1 point)
• improper
• irrational
• rational
• negative

Answer 3

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

Irrational numbers include values like \(\sqrt{2}\), \(\pi\), and \(e\), which cannot be expressed as a fraction of two integers.

Therefore, the correct answer is: irrational.

Answer 4

To which sets of real numbers does zero belong? (1 point)
O natural numbers, integers, and
rational numbers
iaole numunrs, integers, and
natural numers, integers, and O Whole numbers, integers, and
rational numbers

Answer 5

Zero (0) belongs to the following sets of real numbers:

1. Natural Numbers: Generally, natural numbers begin with 1 (1, 2, 3, ...), so 0 is not included in this set.
2. Integers: Yes, 0 is an integer. The set of integers includes ..., -2, -1, 0, 1, 2, ...
3. Rational Numbers: Yes, 0 is a rational number since it can be expressed as \(0/1\) or any other fraction with a non-zero denominator.

Given the choices provided, the proper set that includes zero is:

Whole numbers, integers, and rational numbers (since whole numbers typically start from 0 and include all positive integers along with zero).

Thus, the correct answer is: Whole numbers, integers, and rational numbers.

Answer 6

Which of the following numbers is an Integer, but NOT a Whole number?
(1 point)
10
-4
2/5
3.5

Answer 7

Whole numbers are defined as the set of non-negative integers, which include 0, 1, 2, 3, and so on.

Integers include all whole numbers as well as negative whole numbers (e.g., ..., -3, -2, -1, 0, 1, 2, 3, ...).

From the options provided:

1. 10: This is both an integer and a whole number.
2. -4: This is an integer, but not a whole number.
3. 2/5: This is not an integer (it is a rational number).
4. 3.5: This is also not an integer (it is a decimal number).

The number that is an integer but NOT a whole number is:

-4.

Answer 8

Which of the following is an irrational number? (1 point)
V100
-15
1/4
-15

Answer 9

To identify an irrational number among the options provided, let's analyze each one:

1. √100: The square root of 100 is 10, which is a rational number.
2. -15: This is an integer and therefore a rational number.
3. 1/4: This is a fraction, which is also a rational number.
4. -15 (repeated): As previously noted, this is also a rational number.

None of the listed options is an irrational number. An irrational number cannot be expressed as a fraction of two integers, such as √2 or π.

Given the choices, it appears there is no irrational number listed. Please check if there are any additional options or a possible error in the question.