Which of these are true and which are false?

Question

1. Every integer is a whole number.
2. Every whole number is an integer.
3. Every real number is an integer.
4. Zero is both a whole number and an integer.
5. All rational numbers are integers.
6. All integers are rational numbers.
7. The absolute value of an integer is always whole number.


Serious answers only please! Thank you!

Answer 1

F (-3 is an integer, but whole numbers are positive)
T (the whole numbers are the positive integers)
F (2.5 or sqrt(2) are real, but not integers)
T
F (1/3 is rational but not an integer)
T (any integer can be rewritten as a quotient of two integers (3 = 3/1))
T (the absolute value is always positive)

Answer 2

Let's take them 1 at a time and give some explanations.
1. False A whole number is a nonnegative integer.
2. True
3. False. 3/2 is a real number but not an integer.
4. True
5. False 3/2 is a rational number but not not an integer.
6. True Every integer can be written as a fraction
with denominator 1.
7. True The absolute value of any integer is a
nonnegative integer, making it a whole number.

Answer 3

Below are the definitions of integers, whole numbers, rational numbers and real numbers; you should be able to figure the asnwers from that.

integers: {...,-3,-2,-1,0,1,2,3,...}

whole numbers: {0,1,2,3,...}

real numbers: all the numbers between negative and positive infinity
ex. 1/3, pi, -100

rational numbers: all the number that can be expressed as a ratio of two integers
ex. -3/2, 1/2, -5/1

Answer 4

True: 2, 4, 6, 7.

Answer 5

actual. If we presuppose all statements are in concept the two actual or fake, then the fact made is actual precisely while that's fake. there is consequently a contradiction. ( Austrian mathematician Kurt Godel)

Answer 6

true:

2, 4, 6, 7

the rest are false

Answer 7

1. true
2. true
3. false
4. true
5. false
6. true
7. true
i think these are right

Answer 8

2,4,7,6