Which number belongs only in the rational numbers area of the diagram? Responses A −6−6 B 00 C 5.755.75 D 7
The rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. Therefore, any number that can be written in the form of a/b where a and b are integers and b is not equal to 0, belongs in the rational numbers area of the diagram.
Based on the options provided, the number that can be expressed as a fraction is response C 5.75. We can write it as 23/4, where 23 and 4 are both integers. Therefore, response C 5.75 belongs only in the rational numbers area of the diagram.
To determine which number belongs only in the rational numbers area of the diagram, we need to understand what rational numbers are. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers.
Let's analyze each response option:
A) -6: -6 is an integer and can be expressed as -6/1, which is a fraction. It belongs to the rational numbers.
B) 0: 0 is an integer and can be expressed as 0/1, which is a fraction. It belongs to the rational numbers.
C) 5.75: 5.75 can be expressed as 23/4, which is a fraction. It belongs to the rational numbers.
D) 7: 7 is an integer and can be expressed as 7/1, which is a fraction. It belongs to the rational numbers.
Based on the analysis, all the given options belong to the rational numbers. Therefore, all the options are correct.
To determine which number belongs only in the rational numbers area of the diagram, we need to understand what rational numbers are.
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. In other words, they are numbers that can be written as a/b, where a and b are integers and b is not zero.
Let's analyze the given options:
A) -6: -6 can be written as -6/1, which is a fraction. Therefore, option A is a rational number.
B) 0: 0 can be written as 0/1, which is a fraction. Therefore, option B is a rational number.
C) 5.75: 5.75 can be expressed as the fraction 23/4. Since it can be written as a fraction, option C is a rational number.
D) 7: 7 can be written as 7/1, which is a fraction. Therefore, option D is a rational number.
Based on the analysis, all of the given options, A, B, C, and D, are rational numbers. None of them belong only in the rational numbers area of the diagram.