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Short Trick - Number System General Aptitude Video Lecture | General Aptitude for GATE - Mechanical Engineering
FAQs on Short Trick - Number System General Aptitude Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What is the number system in mathematics? |  |
Ans. The number system in mathematics is a way of classifying numbers into different categories based on their properties. The main types of number systems include natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Each category has specific characteristics and uses in mathematical operations.
| 2. How do I convert a decimal number to a fraction? | |
Ans. To convert a decimal number to a fraction, you can follow these steps: First, identify the place value of the last digit in the decimal. For example, for 0.75, the last digit (5) is in the hundredths place. Therefore, you can write it as 75/100. Then, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, 75/100 simplifies to 3/4.
| 3. What is the difference between rational and irrational numbers? | |
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75. Irrational numbers, on the other hand, cannot be expressed as a simple fraction. They have non-repeating and non-terminating decimal expansions, such as √2 and π.
| 4. How can I quickly add and subtract fractions? | |
Ans. To quickly add and subtract fractions, first ensure they have a common denominator. If they don’t, find the least common multiple (LCM) of the denominators and convert each fraction accordingly. Once they have the same denominator, you can simply add or subtract the numerators while keeping the denominator the same. Finally, simplify the resulting fraction if possible.
| 5. What are the rules for multiplying and dividing integers? | |
Ans. The rules for multiplying and dividing integers are straightforward: When multiplying or dividing two integers with the same sign (both positive or both negative), the result is positive. When multiplying or dividing two integers with different signs (one positive and one negative), the result is negative. For example, (-3) × (-2) = 6, and 6 ÷ (-2) = -3.
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