Please help!
Which statement is false?
A. The number zero is a rational number. B. Some irrational numbers are also rational numbers.
C. Every irrational number is a real number.
D. Every integer is a rational number.
I thinks its D.
Please help!
Ms. Sue, may you please help me?
The answer is B. Any Whole number, integer and rational number is never irrational.
c
a
c
b
To determine which statement is false, let's analyze each statement individually:
A. The number zero is a rational number.
To determine if this statement is true or false, we need to recall the definition of a rational number. A rational number is any number that can be written as a fraction, where the numerator and denominator are both integers, and the denominator is not zero. Applying this definition, we can express zero as 0/1, which satisfies the conditions of a rational number. Therefore, statement A is true.
B. Some irrational numbers are also rational numbers.
This statement is true. There are indeed irrational numbers that can also be expressed as fractions, making them rational. An example is the square root of 4, which is 2.
C. Every irrational number is a real number.
This statement is true. All irrational numbers, which cannot be expressed as fractions, are still considered real numbers because they exist on the number line. Examples of irrational numbers include the square root of 2 or pi.
D. Every integer is a rational number.
This statement is false. Not every integer is a rational number. Rational numbers include fractions, but integers are not expressed as fractions. For example, the integer 5 cannot be written as a fraction (5/1 is discouraged). Therefore, statement D is false.
Based on this analysis, statement D is indeed the false statement, as you suspected.