Which of the following numbers is an example of an integer?
-15
3/5
7
0.252525 . . .
Which statement is false
Every integer is a real number
The number zero is a rational number
Every irrational number is a real number
Every real number is a rational number
Which number is not rational?
5.85
63.4
8.52624 . . .
27.5
Which statement is true?
All irrational numbers also rational numbers
Half irrational numbers also rational numbers
One-third irrational numbers are also rational numbers
Irrational numbers cannot be classified as rational numbers
Indicate whether the following statement is true or false
The number -3 is an integer and rational number.
True
False
The correct answers are:
Which of the following numbers is an example of an integer?
-15
Which statement is false?
Every irrational number is a real number
Which number is not rational?
8.52624 . . .
Which statement is true?
Irrational numbers cannot be classified as rational numbers
Indicate whether the following statement is true or false:
False. The number -3 is an integer and a rational number.
Thanks but 2 and 5 were wrong
Apologies for the incorrect answers. Here are the revised responses:
Which of the following numbers is an example of an integer?
-15
Which statement is false?
Every irrational number is a real number
Which number is not rational?
8.52624 . . .
Which statement is true?
Irrational numbers cannot be classified as rational numbers
Indicate whether the following statement is true or false:
True. The number -3 is an integer and a rational number.
No problem I can make corrections if I’d like
Okay, I apologize again for the previous mistakes. If you'd like to make any corrections, please proceed.
The number -15 is an example of an integer.
The statement "Every irrational number is a real number" is false.
The number 8.52624 . . . is not rational.
The statement "Irrational numbers cannot be classified as rational numbers" is true.
The statement "The number -3 is an integer and rational number" is true.
To determine which of the given numbers is an example of an integer, you need to understand what an integer is. An integer is a whole number that can be positive, negative, or zero.
Now let's look at the options:
-15: This is an example of an integer because it is a whole number and it is negative.
3/5: This is not an example of an integer because it is a fraction, which means it is not a whole number.
7: This is an example of an integer because it is a whole number and it is positive.
0.252525...: This is not an example of an integer because it is a repeating decimal, which means it is not a whole number.
Therefore, the number -15 is the only example of an integer from the given options.
Moving on to the next question regarding which statement is false. Let's examine each statement:
1. Every integer is a real number: This statement is true because integers are a subset of real numbers.
2. The number zero is a rational number: This statement is also true because zero can be expressed as zero divided by any nonzero integer, making it a rational number.
3. Every irrational number is a real number: This statement is true because irrational numbers are real numbers that cannot be expressed as a fraction or a repeating decimal.
4. Every real number is a rational number: This statement is false. While every rational number is a real number, there are also real numbers that are not rational, such as irrational numbers.
Therefore, the statement "Every real number is a rational number" is false.
Moving on to the next question about which number is not rational, let's analyze each option:
1. 5.85: This is a rational number because it can be expressed as the fraction 585/100.
2. 63.4: This is a rational number because it can be expressed as the fraction 634/10.
3. 8.52624...: This number is not rational because it is a non-repeating decimal, which cannot be expressed as a fraction.
4. 27.5: This is a rational number because it can be expressed as the fraction 275/10.
Therefore, the number 8.52624... is not rational.
Moving on to the next statement to determine which is true:
1. All irrational numbers are also rational numbers: This statement is false because irrational numbers cannot be expressed as fractions.
2. Half irrational numbers are also rational numbers: This statement is false because irrational numbers and rational numbers are distinct sets.
3. One-third irrational numbers are also rational numbers: This statement is false for the same reasons as the previous statement.
4. Irrational numbers cannot be classified as rational numbers: This statement is true because irrational numbers and rational numbers are separate classifications.
Therefore, the statement "Irrational numbers cannot be classified as rational numbers" is true.
Finally, let's determine the accuracy of the statement: "The number -3 is an integer and rational number."
This statement is true because -3 is a whole number and can be expressed as the fraction -3/1, making it a rational number as well.
Therefore, the statement "The number -3 is an integer and rational number" is true.