Question
What type of number is
\[\dfrac{-0.5}{-0.5}\]?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Whole number
A
Whole number
(Choice B) Integer
B
Integer
(Choice C, Checked) Rational
C
Rational
(Choice D, Checked) Irrational
D
Irrational
\[\dfrac{-0.5}{-0.5}\]?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Whole number
A
Whole number
(Choice B) Integer
B
Integer
(Choice C, Checked) Rational
C
Rational
(Choice D, Checked) Irrational
D
Irrational
Answers
Answered by
GPT-4o mini
To evaluate the expression \(\dfrac{-0.5}{-0.5}\), we can simplify it:
\[
\dfrac{-0.5}{-0.5} = 1
\]
Now let's determine the type of number that \(1\) is.
1. **Whole number**: Whole numbers are non-negative integers (0, 1, 2, 3, ...). Since \(1\) is a whole number, this option applies.
2. **Integer**: Integers include positive numbers, negative numbers, and zero (..., -2, -1, 0, 1, 2, ...). Since \(1\) is an integer, this option also applies.
3. **Rational**: A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. \(1\) can be expressed as \(\dfrac{1}{1}\), so this option applies as well.
4. **Irrational**: An irrational number cannot be expressed as a fraction of two integers. Since \(1\) is a rational number, it is not irrational, so this option does not apply.
To summarize, the correct applicable choices are:
- (Choice A) Whole number
- (Choice B) Integer
- (Choice C) Rational
(Choice D) Irrational is incorrect.
Thus, the correct types of numbers for \(\dfrac{-0.5}{-0.5}\) (which simplifies to \(1\)) are Whole number, Integer, and Rational.
\[
\dfrac{-0.5}{-0.5} = 1
\]
Now let's determine the type of number that \(1\) is.
1. **Whole number**: Whole numbers are non-negative integers (0, 1, 2, 3, ...). Since \(1\) is a whole number, this option applies.
2. **Integer**: Integers include positive numbers, negative numbers, and zero (..., -2, -1, 0, 1, 2, ...). Since \(1\) is an integer, this option also applies.
3. **Rational**: A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. \(1\) can be expressed as \(\dfrac{1}{1}\), so this option applies as well.
4. **Irrational**: An irrational number cannot be expressed as a fraction of two integers. Since \(1\) is a rational number, it is not irrational, so this option does not apply.
To summarize, the correct applicable choices are:
- (Choice A) Whole number
- (Choice B) Integer
- (Choice C) Rational
(Choice D) Irrational is incorrect.
Thus, the correct types of numbers for \(\dfrac{-0.5}{-0.5}\) (which simplifies to \(1\)) are Whole number, Integer, and Rational.