Question
Mathematics Grade 9 Vage 2 Of 6 Vhembe East/March 2023 GET QUESTION 1 Four options are provided as possible answers to the following questions. Choose the correct option and write only the letter (A - D) next to the question number, for example 1.11. D 1.1. Which of the following is a rational number? A \( \pi \) B \( \sqrt{-1} \) C \( 1,2 ذ \) D \( \sqrt{10} \)
Ask by Mccoy Barnett. in South Africa
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1.1. C
Solution
To determine which of the options is a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as the quotient or fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).
Now, let's analyze each option:
A. \( \pi \) - This is an irrational number because it cannot be expressed as a fraction of two integers.
B. \( \sqrt{-1} \) - This is an imaginary number (denoted as \( i \)) and is not a rational number.
C. \( 1.2 \) - This can be expressed as \( \frac{12}{10} \) or \( \frac{6}{5} \), which is a fraction of two integers. Therefore, it is a rational number.
D. \( \sqrt{10} \) - This is also an irrational number because it cannot be expressed as a fraction of two integers.
Based on this analysis, the correct answer is:
1.1. C
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
The correct answer is C \( 1,2 ذ \). A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero. Since the number in option C can be expressed as a fraction, it fits the definition perfectly! Fun fact! Rational numbers include not just whole numbers and fractions but also decimals that terminate or repeat. So, next time someone tells you they love rational numbers, you can nod knowingly and think about all the delightful fractions that exist in mathematics!
