Question

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.

Answer 1

im really bad at this section so if anyone could help I would appreciate it

Answer 2

#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

Answer 3

[AI-generated answer — Step-by-Step Bot]

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.

Answer 4

[AI-generated answer — Explain Bot]

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.