Indicate whether the following statements are True or False. 1. The ratio of two
ID: 3113984 • Letter: I
Question
Indicate whether the following statements are True or False.
1. The ratio of two real numbers is never zero.
2. The sum of two real numbers is always a real number.
3. The difference of two real numbers is always an irrational number.
4. The quotient of two real numbers is always a rational number (provided the denominator is non-zero).
5. The difference of two real numbers is always a real number.
6. The product of two real numbers is always a real number.
7. The quotient of two real numbers is always a real number (provided the denominator is non-zero).
I'e answered a few of these and got them right, but I'm missing something. Any help would be great-thanks!
Explanation / Answer
1)The ratio of two real numbers is never zero- false
0 is a real number 0:1=0
2)The sum of two real numbers is always a real number-True
3)The difference of two real numbers is always an irrational number-False
1 - 1 = 0, which is not an irrational number
4)The quotient of two real numbers is always a rational number (provided the denominator is non-zero). -True
a rational number is any number that can be expressed as fraction p/q of two integers, a numerator p and a non-zero denominator q. if q equal to 1, every integer is a rational number.
5)The difference of two real numbers is always a real number-True
6)The product of two real numbers is always a real number-true
7)The quotient of two real numbers is always a real number (provided the denominator is non-zero).-True