which of these numbers can be classified as both real and irrational?
1. 5.858585858
2. 63.4
3. root 21
4. root 36
which is both a real number and an integer?
1. 23
2. 1/4
3. root 27
4. 3.402538
which of these number is classified as both real and rational?
1. root 17
2. root 23
3. root 9
4. root 2
which statement is false?
1. the number zero is a rational number.
2. some irrational numbers are also rational number.
3. every irrational number is a real number.
4. every integer is a rational number.
C
A
C
B
These are the answers, I got a 100!
She's right. ^^^
Thanks anonomys 100
@Dont Believe Her! why did you try the answers and get a bad grade or are you just saying that?
@bruh the answers are correct
Tell us what you think and we will check it.
i don't know the answere but can someone tell me
To determine which numbers can be classified as both real and irrational, we need to understand the definitions of these terms.
1. 5.858585858 is a repeating decimal. A real number is any number that can be represented on the number line, which includes both rational and irrational numbers. Irrational numbers are numbers that cannot be expressed as the quotient (or fraction) of two integers. Since 5.858585858 can be expressed as the repeating decimal 5.8̅, it is a rational number, not irrational. Therefore, it cannot be classified as both real and irrational.
2. 63.4 is a decimal number that terminates. Similar to the example above, it can be expressed as the fraction 633/10, which makes it a rational number. Thus, it cannot be classified as both real and irrational.
3. √21 is the square root of 21. If 21 is not a perfect square (meaning it does not have an integer square root), then √21 is irrational. Therefore, √21 can be classified as both real and irrational.
4. √36 is the square root of 36. Since 36 is a perfect square with an integer square root of 6, √36 is rational. Thus, it cannot be classified as both real and irrational.
So, out of the given options, only √21 can be classified as both real and irrational.
To determine which number is classified as both real and an integer:
1. 23 is an integer (a whole number without any fractional or decimal parts) and is also a real number. So, it can be classified as both real and an integer.
2. 1/4 is a fraction, which can be represented as a rational number, but it is not an integer. Therefore, it cannot be classified as both real and an integer.
3. √27 is the square root of 27. Similar to the previous example, √27 is irrational because it is not a perfect square. However, it is not an integer. Hence, it cannot be classified as both real and an integer.
4. 3.402538 is a decimal number and is not an integer. Therefore, it cannot be classified as both real and an integer.
So, the only number classified as both real and an integer is 23.
To determine which number is classified as both real and rational:
1. √17 is the square root of 17. If 17 is not a perfect square, the square root is irrational. Therefore, √17 cannot be classified as both real and rational.
2. √23 is the square root of 23 and is irrational because 23 is not a perfect square. Therefore, √23 cannot be classified as both real and rational.
3. √9 is the square root of 9. Since 9 is a perfect square with an integer square root of 3, √9 is rational. Thus, it can be classified as both real and rational.
4. √2 is the square root of 2 and is irrational because it is not a perfect square. Therefore, √2 cannot be classified as both real and rational.
So, the only number classified as both real and rational is √9.
To determine which statement is false:
1. The number zero is a rational number. This statement is true, as zero can be expressed as the fraction 0/1.
2. Some irrational numbers are also rational numbers. This statement is false. By definition, irrational numbers cannot be expressed as the quotient (or fraction) of two integers, while rational numbers can.
3. Every irrational number is a real number. This statement is true. All irrational numbers are real numbers because they can be located on the number line.
4. Every integer is a rational number. This statement is true. Integers can be expressed as fractions in the form n/1, where n is an integer, making them rational numbers.
Therefore, the false statement is: "Some irrational numbers are also rational numbers."