Which of the following is an irrational number between 4 and 8?(1 point)
Responses
8–√
square root of 8
12−−√
square root of 12
5–√
square root of 5
17−−√
The square root of 5 (5−−√) is an irrational number between 4 and 8.
Which of the following rational numbers is not between 3–√ and 6–√
?(1 point)
Responses
1.8
1 point 8
4–√
square root of 4
1.5
1 point 5
2
The rational number 1.8 is not between 3−−√ and 6−−√.
Which of the following rational numbers is not between 3–√ and 6–√
?(1 point)
Responses
1.8
4–√
square root of 4
1.5
1 point 5
2
The rational number 1.5 is not between 3−−√ and 6−−√.
Describe the relationship between integers and whole numbers. Are all integers also whole numbers? Are all whole numbers also integers? Give examples to support your answer.(4 points)
Integers and whole numbers are related, but they are not exactly the same.
All integers are also whole numbers. Integers consist of all positive and negative whole numbers, including zero. Therefore, any integer such as -3, 0, or 5 is also considered a whole number.
On the other hand, not all whole numbers are integers. Whole numbers consist of all positive non-decimal numbers including zero, but they do not include negative numbers. For example, 3, 0, and 10 are whole numbers, but -3 is not a whole number.
To summarize, the set of integers is a subset of the set of whole numbers.