QQuestionMathematics
QuestionMathematics
# Classify numbers
What type of number is - 0.12 ?
Choose all answers that apply:
## Whole number
## (B) Integer
## (C) Rational
## (D) Irrational
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the definition of - 0.12
- It can be written as a fraction: $$-\frac{12}{100}
- This is a negative decimal number
Step 3:: Check if it's a Whole Number
- $$-0.12$$ is negative
- Whole numbers are non-negative integers (0, 1, 2, 3, ...) - Therefore, it is NOT a whole number
Step 4:: Check if it's an Integer
- $$-0.12$$ is not a whole number
- Integers include positive and negative whole numbers (..., - 2, - 1, 0, 1, 2, ...) - Therefore, it is NOT an integer
Step 5:: Check if it's a Rational Number
- $$-0.12 = -\frac{12}{100}
- Rational numbers can be expressed as a fraction of two integers - This is a ratio of two integers - Therefore, it IS a rational number
Step 6:: Check if it's an Irrational Number
- $$-0.12$$ can be expressed as $$-\frac{12}{100}
- Irrational numbers cannot be expressed as a simple fraction - Therefore, it is NOT an irrational number
Final Answer
The number - 0.12 is a RATIONAL number.
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