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Questions and Answers
प्राइम नंबर के उदाहरण कौन सा है?
प्राइम नंबर के उदाहरण कौन सा है?
यदि 15 और 45 का GCF क्या है?
यदि 15 और 45 का GCF क्या है?
यदि आप 0.75 को प्रतिशत में बदलते हैं, तो क्या मिलेगा?
यदि आप 0.75 को प्रतिशत में बदलते हैं, तो क्या मिलेगा?
एक समानुपात का उदाहरण क्या होगा?
एक समानुपात का उदाहरण क्या होगा?
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समीकरण 8x + 4 = 36 का समाधान क्या होगा?
समीकरण 8x + 4 = 36 का समाधान क्या होगा?
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निम्नलिखित में से कौन सा उत्तर $5 + 8 - 3$ है?
निम्नलिखित में से कौन सा उत्तर $5 + 8 - 3$ है?
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निम्नलिखित में से कौन सा संख्या प्रणाली है जिसमें शून्य शामिल है?
निम्नलिखित में से कौन सा संख्या प्रणाली है जिसमें शून्य शामिल है?
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यदि भिन्न $ rac{8}{12}$ को सरल किया जाए, तो परिणाम क्या होगा?
यदि भिन्न $ rac{8}{12}$ को सरल किया जाए, तो परिणाम क्या होगा?
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एक भिन्न को दशमलव में बदलने के लिए हमें क्या करना होता है?
एक भिन्न को दशमलव में बदलने के लिए हमें क्या करना होता है?
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नकारात्मक घातांक का क्या मतलब है?
नकारात्मक घातांक का क्या मतलब है?
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अंक $3^4$ की शक्ति निकालने पर हमें क्या मिलेगा?
अंक $3^4$ की शक्ति निकालने पर हमें क्या मिलेगा?
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यदि हम $0.75$ को भिन्न में बदलते हैं, तो हमें क्या मिलेगा?
यदि हम $0.75$ को भिन्न में बदलते हैं, तो हमें क्या मिलेगा?
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निम्नलिखित में से कौन सा एक तर्कसंगत संख्या है?
निम्नलिखित में से कौन सा एक तर्कसंगत संख्या है?
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Study Notes
Basic Arithmetic Operations
- Addition: Combining two or more numbers to find their sum. The sum is the result of the addition.
- Subtraction: Finding the difference between two numbers. The difference is the result.
- Multiplication: Repeated addition of the same number. The product is the result.
- Division: Breaking a number into equal parts. The quotient is the result.
Number Systems
- Natural Numbers: Counting numbers (e.g., 1, 2, 3,...).
- Whole Numbers: Natural numbers and zero (e.g., 0, 1, 2, 3,...).
- Integers: Whole numbers and their negative counterparts (e.g.,..., -3, -2, -1, 0, 1, 2, 3,...).
- Rational Numbers: Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero. Examples include 1/2, -3/4, 5.
- Irrational Numbers: Numbers that cannot be expressed as a fraction of two integers. Examples include √2, π.
- Real Numbers: The set of all rational and irrational numbers.
Fractions
- A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number).
- Equivalent fractions: Fractions that represent the same value.
- Simplifying fractions: Reducing a fraction to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).
- Adding and subtracting fractions: Requires finding a common denominator.
- Multiplying fractions: Multiply the numerators and multiply the denominators.
- Dividing fractions: Invert the second fraction and multiply.
Decimals
- A decimal represents a fraction with a denominator of 10, 100, 1000, and so on.
- Converting fractions to decimals: Divide the numerator by the denominator.
- Converting decimals to fractions: Identify the place value of the last digit and write the decimal as a fraction.
- Adding and subtracting decimals: Line up the decimal points.
- Multiplying decimals: Multiply as if they are whole numbers, then place the decimal point in the product.
- Dividing decimals: Move the decimal point in the divisor and dividend to the right until the divisor is a whole number. Move the decimal point in the quotient accordingly.
Exponents and Powers
- Exponent: A number that indicates how many times a base number is multiplied by itself.
- Power: The result of raising a base number to an exponent.
- Base: The number that is raised to a power.
- Negative Exponents: A negative exponent indicates reciprocal.
- Laws of exponents: Rules that govern operations with exponents.
Factors and Multiples
- Factor: A number that divides another number exactly (without a remainder).
- Multiple: A number that is a product of a given number and an integer.
- Prime Numbers: Numbers greater than 1 that have only two factors: 1 and itself.
- Composite Numbers: Numbers greater than 1 that have more than two factors.
- Greatest Common Factor (GCF): The largest factor that divides two or more numbers.
- Least Common Multiple (LCM): The smallest multiple that two or more numbers share.
Order of Operations (PEMDAS/BODMAS)
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Percentages
- Percentage: A ratio that compares a number to 100.
- Converting fractions to percentages: Multiply the fraction by 100%.
- Converting decimals to percentages: Multiply the decimal by 100%.
- Converting percentages to fractions or decimals: Divide the percentage by 100.
- Applications of percentages: Discount, sales tax, interest, etc.
Ratio and Proportion
- Ratio: A comparison of two or more quantities.
- Proportion: An equation that states that two ratios are equal.
- Solving proportions: Use cross-multiplication to find unknown values.
Geometry (Basic Concepts)
- Points, lines, planes: Fundamental geometric objects.
- Angles: Formed by two rays with a common endpoint.
- Types of angles: Acute, obtuse, right, straight, reflex.
- Polygons: Two-dimensional shapes with straight sides.
- Area and Perimeter: Measures describing the size and boundary of shapes.
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Description
यह क्विज़ गणित की मूलभूत क्रियाओं, संख्या प्रणालियों और भिन्नों के बारे में है। इसमें जोड़, घटाव, गुणा, और भाग जैसी क्रियाएं शामिल हैं। साथ ही, आप प्राकृतिक, पूर्ण, और वास्तविक संख्याओं के बारे में भी जानेंगे।
