Order the following numbers from least to greatest.
√5, -0.1, (-5/3), 0.7, √2
a. 0.7, √2, (-5/3), √5, -0.1
b. √5, √2, 0.7, (-5/3), -0.1
c. (-5/3), -0.1, 0.7, √2, √5 ?
d. -0.1, 0.7, √2, √5, (-5/3)
To which subsets of real numbers does the following number belong?
√42
a. rational numbers
b. irrational numbers ?
c. whole numbers, integers, rational numbers
d. whole numbers, natural numbers, integers
Ah, I see now.
Then it looks all good. The numbers are sorted in increasing order, and a surd is an irrational number.
Thank you!
Provide your answer and we'll check it.
The question marks are my answers.
Order the rational numbers from least to greatest:
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1 point
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-10 , 2 , -0.5 , 5/16
-10 , -0.5 , 5/16 , 2
5/16 , -0/5 , 2 , -10
0.5 , 5/16 , 2 . -10
The correct order is:
-10, -0.5, 5/16, 2
To order the numbers from least to greatest, we can follow these steps:
1. Compare the integers and the irrational numbers separately.
2. Order the integers from least to greatest: -5/3, -0.1, 0.7.
3. Order the irrational numbers by estimating their values.
- √5 is between 2 and 3 since 2^2 = 4 and 3^2 = 9. Therefore, it is between 2 and 3.
- √2 is between 1 and 2 since 1^2 = 1 and 2^2 = 4. Therefore, it is between 1 and 2.
4. Arrange the numbers in order: -5/3, -0.1, 0.7, √2, √5.
Therefore, the correct answer is option c. (-5/3), -0.1, 0.7, √2, √5.
Now, let's determine the subset of real numbers to which √42 belongs.
An irrational number is a number that cannot be expressed as a fraction of two integers. Since the square root of 42 is not a perfect square, it is an irrational number.
Therefore, the correct answer is option b. irrational numbers. √42 is an irrational number.
Note: Rational numbers are numbers that can be expressed as a fraction of two integers. Whole numbers include non-negative integers, integers are all positive and negative numbers including zero, and natural numbers are counting numbers starting from 1.