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Questions and Answers
Addition और subtraction में क्या अंतर है?
Addition और subtraction में क्या अंतर है?
कौन सा नंबर एक prime संख्या है?
कौन सा नंबर एक prime संख्या है?
दशमलव और भिन्न में क्या अंतर है?
दशमलव और भिन्न में क्या अंतर है?
किस प्रकार की संख्याएँ जटिल संख्याएँ हैं?
किस प्रकार की संख्याएँ जटिल संख्याएँ हैं?
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गुणा और भाग का क्रम क्या होता है?
गुणा और भाग का क्रम क्या होता है?
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कौन सी संख्या एक सम संख्या है?
कौन सी संख्या एक सम संख्या है?
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यदि $x = 3^2$ है तो $x$ का मान क्या है?
यदि $x = 3^2$ है तो $x$ का मान क्या है?
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0 को किन संख्याओं में वर्गीकृत किया जा सकता है?
0 को किन संख्याओं में वर्गीकृत किया जा सकता है?
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Study Notes
Basic Arithmetic Operations
- Addition: Combining two or more numbers to find a total. The sum is the result.
- 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: Separating a number into equal groups. The quotient is the result.
Number Systems
- Natural numbers (counting numbers): 1, 2, 3, ...
- Whole numbers: 0, 1, 2, 3, ...
- Integers: ... -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 ≠ 0.
- Irrational numbers: Numbers that cannot be expressed as a fraction of two integers. Examples include π (pi) and the square root of 2.
- Real numbers: The set of all rational and irrational numbers.
- Complex numbers: Numbers of the form a + bi, where a and b are real numbers, and i is the imaginary unit (i² = -1).
Exponents and Radicals
- Exponents: Indicate repeated multiplication of a base. For example, 2³ = 2 × 2 × 2 = 8.
- Radicals: Represent roots of numbers. The square root of 9 is 3 (√9 = 3).
Order of Operations (PEMDAS/BODMAS)
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Factors and Multiples
- Factors: Numbers that divide a given number evenly (with no remainder).
- Multiples: Numbers that are obtained by multiplying a given number by an integer.
Prime and Composite Numbers
- Prime numbers: Numbers greater than 1 that have only two factors: 1 and themselves. Examples: 2, 3, 5, 7, 11.
- Composite numbers: Numbers greater than 1 that have more than two factors. Examples: 4, 6, 8, 9, 10.
Fractions
- Fractions: Represent parts of a whole. A fraction is written as a/b, where a is the numerator and b is the denominator (b ≠ 0).
- Equivalent fractions: Fractions that represent the same portion of a whole.
- Simplifying fractions: Reducing fractions to their lowest terms.
- Comparing fractions: Determining which fraction is larger or smaller.
Decimals
- Decimals: Represent numbers using a decimal point.
- Converting between fractions and decimals.
- Comparing and ordering decimals.
Percentages
- Percentages: Represent a portion of 100.
- Converting between percentages, decimals, and fractions.
- Calculating percentage increase or decrease.
Ratios and Proportions
- Ratios: Comparisons of two quantities.
- Proportions: Equations that state two ratios are equal.
Geometry
- Basic shapes: Lines, angles, triangles, squares, circles, etc.
- Area and perimeter formulas.
- Volume formulas.
Algebra
- Variables: Symbols that represent unknown quantities.
- Equations: Statements that show two expressions are equal.
- Solving equations.
- Inequalities
- Linear equations and graphs
- Quadratic equations and graphs
- Polynomials and operations
Statistics
- Data: Collection of numerical information.
- Measures of central tendency (mean, median, mode).
- Measures of dispersion (range, standard deviation).
- Representing data with graphs (histograms, bar graphs, scatter plots).
Trigonometry
- Basic trigonometric ratios (sine, cosine, tangent)
- Applications of trigonometry in right triangles
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Description
इस क्विज में, आप बुनियादी अंकगणित, संख्या प्रणालियों, और घातांक तथा मूलों के विषयों पर परीक्षण करेंगे। यह ज्ञान गणितीय अवधारणाओं को समझने में मदद करेगा। प्रश्नों के माध्यम से, आप अपने कौशल का मूल्यांकन कर सकेंगे।