1.Which of the following numbers is an example of an integer?
A. -15
B. three-fifths
C. start root 7 end root
D. 0.252525 . . .
2.Which statement is false?
A. Every integer is a real number.
B. The number zero is a rational number.
C. Every irrational number is a real number.
D. Every real number is a rational number.
3.Which number is not the same type of number as the others in the list?
A. 5.85
B. 63.4
C. 8.52624 . . .
D. 27.5
4.How would you change this sentence to a true statement?
Some irrational numbers are also rational numbers.
A. All irrational numbers are also rational numbers.
B. Half of the irrational numbers are also rational numbers.
C. One-third of the irrational numbers are also rational numbers.
D. Irrational numbers cannot be classified as rational numbers.
How would you change this sentence to a true statement?
Every irrational number is an integer.
A. Every irrational number is a rational number.
B. Every irrational number is a real number.
C. Every irrational number is a whole number.
D. Every irrational number is a perfect square.
1. The number that is an example of an integer is:
A. -15
2. The false statement is:
D. Every real number is a rational number.
3. The number that is not the same type of number as the others in the list is:
C. 8.52624 ...
4. To change the sentence to a true statement:
A. All irrational numbers are also rational numbers.
To change the sentence to a true statement:
B. Every irrational number is a real number.
1. To determine which of the following numbers is an example of an integer, let's examine each option:
A. -15: This is an example of an integer since it is a whole number that can be negative.
B. Three-fifths: This is not an integer because it is a fraction and not a whole number.
C. Start root 7 end root: This is not an integer because it is the square root of 7 and not a whole number.
D. 0.252525...: This is not an integer because it is a repeating decimal and not a whole number.
Therefore, the answer is A. -15.
2. To determine which statement is false, let's examine each option:
A. Every integer is a real number: This is true because integers are a subset of real numbers.
B. The number zero is a rational number: This is true because zero can be expressed as the fraction 0/1.
C. Every irrational number is a real number: This is true because irrational numbers are a subset of real numbers.
D. Every real number is a rational number: This is false because there are real numbers that cannot be expressed as a fraction or ratio of two integers, such as the square root of 2.
Therefore, the answer is D. Every real number is a rational number.
3. To determine which number is not the same type of number as the others, let's examine each option:
A. 5.85: This is a decimal number.
B. 63.4: This is a decimal number.
C. 8.52624...: This is a decimal number.
D. 27.5: This is also a decimal number.
Therefore, all the options are decimal numbers, and none of them are of a different type.
4. To change the sentence "Some irrational numbers are also rational numbers" to a true statement, we can modify it as follows:
A. All irrational numbers are also rational numbers.
By changing the word "some" to "all," we make the statement inclusive of all irrational numbers, indicating that every irrational number is also a rational number.
To change the sentence "Every irrational number is an integer" to a true statement, we can modify it as follows:
B. Every irrational number is a real number.
By changing the word "integer" to "real number," we make the statement accurate since not all irrational numbers are integers, but they are all real numbers.
im really bad at this section so if anyone could help I would appreciate it
#1. well, integers have no decimal point
#2. You may be "bad at this stuff" but you surely have seen the diagram of the sets and their inclusions. The reals include all of the others, right?
#3. One of them does not terminate
#4. irrationals and rationals are mutually exclusive sets
#5. See #2