Asked by cesat
1.
Choose all that apply:
Rational Numbers are...
numbers that can be written as a fraction
numbers that have repeating decimals
numbers that have decimals that never end and do not repeat
numbers that cannot be negative
numbers that are have a decimal that does not continue on forever
2.
Choose all that apply:
Irrational Numbers are...
numbers that have decimals that do not repeat
numbers that have decimals that do not stop
numbers that can be written as a fraction
numbers that can only be negative
3.
Choose all below that are irrational numbers.
4.567647...
4.
What is
as a decimal?
none of these
5.
Convert
to a fraction.
6.
Given a square with an area of 64, what is the length of each side.
8
16
32
64
7.
In the expression
the symbol over the x is called a:
radical
radicand
cubed root
8.
Choose all that apply below:
5 is equivalent to...
9.
An example of a perfect square number is:
9
10
11
12
10.
An example of a perfect cubed number is:
27
28
30
35
11.
Which are examples of Pythagorean Triples?
3,4,5
7,24,25
5,12,14
20,21,30
12.
Given that the two legs of a right triangle are 8 and 15, what is the length of the hypotenuse?
17
23
7
289
13.
Is the triangle shown below a right triangle?
Yes, because 5,12,13 is a Pythagorean Triple.
No, 5,12,13 is not a Pythagorean Triple.
There is not enough information to decide
Choose all that apply:
Rational Numbers are...
numbers that can be written as a fraction
numbers that have repeating decimals
numbers that have decimals that never end and do not repeat
numbers that cannot be negative
numbers that are have a decimal that does not continue on forever
2.
Choose all that apply:
Irrational Numbers are...
numbers that have decimals that do not repeat
numbers that have decimals that do not stop
numbers that can be written as a fraction
numbers that can only be negative
3.
Choose all below that are irrational numbers.
4.567647...
4.
What is
as a decimal?
none of these
5.
Convert
to a fraction.
6.
Given a square with an area of 64, what is the length of each side.
8
16
32
64
7.
In the expression
the symbol over the x is called a:
radical
radicand
cubed root
8.
Choose all that apply below:
5 is equivalent to...
9.
An example of a perfect square number is:
9
10
11
12
10.
An example of a perfect cubed number is:
27
28
30
35
11.
Which are examples of Pythagorean Triples?
3,4,5
7,24,25
5,12,14
20,21,30
12.
Given that the two legs of a right triangle are 8 and 15, what is the length of the hypotenuse?
17
23
7
289
13.
Is the triangle shown below a right triangle?
Yes, because 5,12,13 is a Pythagorean Triple.
No, 5,12,13 is not a Pythagorean Triple.
There is not enough information to decide
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Certainly! Here are the answers and explanations for each of the questions:
1. **Rational Numbers are...**
- **numbers that can be written as a fraction** (True)
- **numbers that have repeating decimals** (True)
- **numbers that have decimals that never end and do not repeat** (False - this describes irrational numbers)
- **numbers that cannot be negative** (False - rational numbers can be negative)
- **numbers that have a decimal that does not continue on forever** (True - this applies to rational numbers)
2. **Irrational Numbers are...**
- **numbers that have decimals that do not repeat** (True)
- **numbers that have decimals that do not stop** (True)
- **numbers that can be written as a fraction** (False - this describes rational numbers)
- **numbers that can only be negative** (False - irrational numbers can be both positive and negative)
3. **Choose all that are irrational numbers:**
- **4.567647...** (This number has a non-repeating and non-terminating decimal, therefore it is an irrational number)
4. **What is √2 as a decimal?**
- The decimal is approximately **1.414** (often rounded to a few significant figures). If "none of these" is an option, it would depend on the provided choices.
5. **Convert 0.75 to a fraction:**
- 0.75 can be converted to the fraction **3/4**.
6. **Given a square with an area of 64, what is the length of each side?**
- The length of each side is **8** (because √64 = 8).
7. **In the expression √x the symbol over the x is called a:**
- **radical** (The entire symbol √ is called a radical, while x is the radicand.)
8. **Choose all that apply below: 5 is equivalent to...**
- Since options aren’t provided, generally, 5 can be equivalent to 5/1, or 5.0, etc. It depends on the options.
9. **An example of a perfect square number is:**
- **9** (because it is 3²).
10. **An example of a perfect cubic number is:**
- **27** (because it is 3³).
11. **Which are examples of Pythagorean Triples?**
- **3,4,5** (True, since \(3^2 + 4^2 = 5^2\))
- **7,24,25** (True, since \(7^2 + 24^2 = 25^2\))
- **5,12,14** (False, since \(5^2 + 12^2 ≠ 14^2\))
- **20,21,30** (False, since \(20^2 + 21^2 ≠ 30^2\))
12. **Given that the two legs of a right triangle are 8 and 15, what is the length of the hypotenuse?**
- Using the Pythagorean theorem: hypotenuse = √(8² + 15²) = √(64 + 225) = √289 = **17**.
13. **Is the triangle shown below a right triangle?**
- If the sides are **5, 12, and 13**, then:
- **Yes, because 5, 12, 13 is a Pythagorean Triple.**
If you have specific numbers or choices for some questions, feel free to share, and I can help refine the answers!
1. **Rational Numbers are...**
- **numbers that can be written as a fraction** (True)
- **numbers that have repeating decimals** (True)
- **numbers that have decimals that never end and do not repeat** (False - this describes irrational numbers)
- **numbers that cannot be negative** (False - rational numbers can be negative)
- **numbers that have a decimal that does not continue on forever** (True - this applies to rational numbers)
2. **Irrational Numbers are...**
- **numbers that have decimals that do not repeat** (True)
- **numbers that have decimals that do not stop** (True)
- **numbers that can be written as a fraction** (False - this describes rational numbers)
- **numbers that can only be negative** (False - irrational numbers can be both positive and negative)
3. **Choose all that are irrational numbers:**
- **4.567647...** (This number has a non-repeating and non-terminating decimal, therefore it is an irrational number)
4. **What is √2 as a decimal?**
- The decimal is approximately **1.414** (often rounded to a few significant figures). If "none of these" is an option, it would depend on the provided choices.
5. **Convert 0.75 to a fraction:**
- 0.75 can be converted to the fraction **3/4**.
6. **Given a square with an area of 64, what is the length of each side?**
- The length of each side is **8** (because √64 = 8).
7. **In the expression √x the symbol over the x is called a:**
- **radical** (The entire symbol √ is called a radical, while x is the radicand.)
8. **Choose all that apply below: 5 is equivalent to...**
- Since options aren’t provided, generally, 5 can be equivalent to 5/1, or 5.0, etc. It depends on the options.
9. **An example of a perfect square number is:**
- **9** (because it is 3²).
10. **An example of a perfect cubic number is:**
- **27** (because it is 3³).
11. **Which are examples of Pythagorean Triples?**
- **3,4,5** (True, since \(3^2 + 4^2 = 5^2\))
- **7,24,25** (True, since \(7^2 + 24^2 = 25^2\))
- **5,12,14** (False, since \(5^2 + 12^2 ≠ 14^2\))
- **20,21,30** (False, since \(20^2 + 21^2 ≠ 30^2\))
12. **Given that the two legs of a right triangle are 8 and 15, what is the length of the hypotenuse?**
- Using the Pythagorean theorem: hypotenuse = √(8² + 15²) = √(64 + 225) = √289 = **17**.
13. **Is the triangle shown below a right triangle?**
- If the sides are **5, 12, and 13**, then:
- **Yes, because 5, 12, 13 is a Pythagorean Triple.**
If you have specific numbers or choices for some questions, feel free to share, and I can help refine the answers!
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