Number Line Representation (Review) MCQs Quiz | Class 9
This review quiz for Class IX Mathematics (Code 041) focuses on Unit I: Number Systems. It specifically covers the Number Line Representation of natural numbers, integers, and rational numbers. Test your understanding of positioning numbers on the real line and download the answer key PDF for your exam preparation.
Unit I: Number Systems – Number Line Overview
The number line is a fundamental concept in mathematics that visually represents real numbers. In Class 9, mastering the representation of natural numbers, integers, and rational numbers is crucial for understanding more complex topics like irrational numbers.
Key Concepts
- The Origin: The number 0 acts as the reference point. Numbers to the right are positive, and numbers to the left are negative.
- Natural Numbers (N): These are counting numbers (1, 2, 3…) located on the right side of zero at equal intervals.
- Integers (Z): This set includes natural numbers, zero, and negative numbers (…, -2, -1, 0, 1, 2…).
- Rational Numbers (Q): Any number that can be written in the form p/q, where p and q are integers and q is not zero. They can be located exactly on the number line or between integers.
Representation Summary
| Number Type | Example | Location on Number Line |
|---|---|---|
| Natural Number | 5 | 5 units to the right of 0 |
| Negative Integer | -3 | 3 units to the left of 0 |
| Positive Rational | 1.5 (3/2) | Exactly midway between 1 and 2 |
| Negative Rational | -0.5 (-1/2) | Exactly midway between 0 and -1 |
Density Property
Between any two distinct rational numbers, there are infinitely many other rational numbers. This is known as the density property. You can find a rational number between two numbers ‘a’ and ‘b’ by calculating their mean: (a + b) / 2.
Extra Practice Questions
- Locate the number 5/3 on the number line. (Hint: It is 1 and 2/3, so it lies between 1 and 2).
- Is zero a positive or negative integer? (Answer: Neither).
- Find five rational numbers between 1 and 2.
- Represent -7/4 on the number line. (Hint: -1.75, lies between -1 and -2).
- True or False: Every integer is a rational number. (Answer: True).
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