hich of the following is an irrational number between 4 and 8?(1 point)
Responses
8–√
square root of 8
5–√
square root of 5
12−−√
square root of 12
17−−√
square root of 17
The correct answer is square root of 5, as it 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
2
The correct answer is 2. It is a rational number, but it 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)
The relationship between integers and whole numbers is that all integers are also whole numbers, but not all whole numbers are integers.
Integers are all positive and negative numbers, including zero, without any fraction or decimal. Examples of integers are -3, 0, and 5.
Whole numbers, on the other hand, are non-negative numbers, including zero, without any fraction or decimal. Examples of whole numbers are 0, 1, 2, and 3.
Since integers include zero and extend to both positive and negative numbers, they encompass all whole numbers. Therefore, all integers are also whole numbers.
However, not all whole numbers are integers. Whole numbers only include positive numbers starting from zero, whereas integers include both positive and negative numbers along with zero. Therefore, whole numbers do not include negative numbers.
For example, the number 2 is both an integer and a whole number since it is positive and without any fraction or decimal. However, -2 is an integer but not a whole number because it includes the negative sign, which is not present in whole numbers like 2.
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)
short answer
Yes, all integers are also whole numbers, and all whole numbers are also integers.
Integers include all positive and negative numbers, including zero, without any fraction or decimal. Whole numbers include all non-negative numbers, including zero, without any fraction or decimal.
Since integers encompass both positive and negative numbers, they include all non-negative numbers as well. Therefore, all integers are whole numbers.
For example, -3 and 5 are integers and also whole numbers because they do not have fractions or decimals. Likewise, 0 is both an integer and a whole number.
Similarly, all whole numbers are integers because they include zero and extend to positive numbers, just without the inclusion of negative numbers. For example, 2 is both a whole number and an integer, while -2 is an integer but not a whole number because whole numbers do not include negative numbers.