Which statement is true?
A. Every real number is an integer.
B. Every rational number is a real number.
C. Every rational number is a perfect square.
D. Every integer is an irrational.
Is the answer A?
A. No - 3.2 is real, not integer
B. true
C. No - 2/3 is not a perfect square
D. No - NO integer is irrational
You were just guessing, I presume.
Which of the following statements is not true?
Every real number is either rational or irrational.
Every whole number is a natural number.
Every integer is a rational number.
Some rational numbers are whole numbers.
dude he just said its b and explained why!
B. Every rational number is a real number.
No, the answer is actually option B: Every rational number is a real number.
To explain how to determine the correct answer, we can break down each option:
A. Every real number is an integer: This statement is false. While every integer is a real number, not every real number is an integer. For example, numbers like 2.5 or √2 are real numbers but not integers.
B. Every rational number is a real number: This statement is true. A rational number is one that can be expressed as a fraction, where the numerator and denominator are both integers. All rational numbers are also real numbers since the set of real numbers includes both rationals and irrationals.
C. Every rational number is a perfect square: This statement is false. There are rational numbers that are not perfect squares. For example, 2/3 is a rational number but not a perfect square.
D. Every integer is an irrational: This statement is false. Integers are a subset of rational numbers (numbers that can be expressed as a fraction) and are not considered irrational. An irrational number is one that cannot be expressed as a fraction, such as √2 or π.
Therefore, option B, Every rational number is a real number, is the only statement that is true.