Computation of Whole Numbers for Competitive Exam – Quantitative Aptitude

Computation of Whole Numbers (पूर्ण संख्याओं की गणना) In Hindi

पूर्ण संख्या

पूर्ण संख्याओं की गणना करने के लिए, हमें पहले यह समझना होगा कि पूर्ण संख्या क्या हैं।

पूर्ण संख्याएं वे संख्याएं हैं जो ऋणात्मक (Negative) नहीं हैं और भिन्न नहीं हैं। दूसरे शब्दों में, वे 0, 1, 2, 3, 4, 5, … जैसे पूर्ण संख्या होते हैं।

संख्याओं के प्रकार

प्राकृतिक संख्याएँ, पूर्ण संख्याएँ, परिमेय संख्याएँ, अपरिमेय संख्याएँ, पूर्णांक

Computation of Whole Numbers In English

Whole numbers are non-negative integers, which means they are positive whole numbers (1, 2, 3, …) or zero (0). They don’t include negative numbers, fractions, or decimals.

Basic Arithmetic Operations:

1. Addition: Combine two or more whole numbers to find their total sum. For example, 5 + 3 = 8.

2. Subtraction: Find the difference between two whole numbers. However, subtraction only works if the resulting number is a whole number itself. For example, 10 – 5 = 5, but 5 – 10 results in a negative number, which isn’t a whole number.

3. Multiplication: Repeatedly add a whole number to itself based on another whole number. The product is the total sum of these additions. For example, 3 x 4 = 3 + 3 + 3 + 3 = 12.

4. Division: Split a whole number (dividend) into equal groups based on another whole number (divisor). This results in a quotient (whole number of groups) with a possible remainder (leftover after dividing). However, division by zero is not defined. For example, 12 divided by 3 (12 / 3) has a quotient of 4 with no remainder.

Types Of Numbers

1. Natural Numbers (N): Natural numbers are positive integers starting from 1 and continuing indefinitely. They are used for counting and ordering. The set of natural numbers is denoted by N = {1,2,3,4,…}.

2. Whole Numbers (W): Whole numbers are similar to natural numbers but include zero. They are non-negative integers. The set of whole numbers is denoted by W = {0,1,2,3,…}.

3. Integers (Z): Integers are positive, negative, or zero whole numbers. They include all the counting numbers, their negatives, and zero. The set of integers is denoted by Z={…,−3,−2,−1,0,1,2,3,…}.

4. Rational Numbers (Q) : These numbers can be expressed as a fraction where the numerator and denominator are integers, and the denominator is not zero. They represent parts of a whole or ratios between quantities. The set of rational numbers is denoted by Q = {a/b | a and b are integers, b ≠ 0}.

5. Irrational Numbers (I): Irrational numbers are numbers that cannot be expressed as a ratio of two integers. They are non-repeating, non-terminating decimals. Examples include π (pi) and √2 (square root of 2).

6. Real Numbers (R): Real numbers include all rational and irrational numbers. They can be represented on the number line. Every point on the number line corresponds to a real number. The set of real numbers is denoted by R.