HELP PLEASE
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
Am I correct?
Please help me!
no. Better check your diagram of subsets of the reals.
hint: is √2 real? Is it rational?
To determine which statement is false, we need to understand the properties of different types of numbers.
A. Every integer is a real number: This statement is true because every integer is a part of the real number system.
B. The number zero is a rational number: This statement is true because zero can be expressed as 0/1, which meets the definition of a rational number.
C. Every irrational number is a real number: This statement is true. Irrational numbers are numbers that cannot be expressed as a fraction, and they are still included in the real number system.
D. Every real number is a rational number: This statement is false. Unlike the previous three statements, not all real numbers are rational numbers. Rational numbers are numbers that can be expressed as a fraction, whereas irrational numbers cannot.
Therefore, the false statement is D. "Every real number is a rational number."
You are correct!