गणित की बुनियादी विधियाँ
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Questions and Answers

Addition और subtraction में क्या अंतर है?

  • addition में संख्याएँ गुणा होती हैं जबकि subtraction में भाग किया जाता है।
  • addition केवल पूर्ण संख्याएँ जोड़ता है जबकि subtraction दशमलव संख्याएँ घटाता है।
  • addition में संख्याएँ घटाई जाती हैं और subtraction में जोड़ाई जाती हैं।
  • addition में दो संख्याएँ जोड़ना होता है जबकि subtraction में घटाना होता है। (correct)
  • कौन सा नंबर एक prime संख्या है?

  • 3 (correct)
  • 6
  • 10
  • 8
  • दशमलव और भिन्न में क्या अंतर है?

  • दशमलव एक बिंदु से विभाजित होती हैं जबकि भिन्न दो संख्याओं का अनुपात है। (correct)
  • दशमलव संख्याएँ केवल पूर्ण होती हैं जबकि भिन्नाकार संख्याएँ नहीं।
  • दशमलव केवल 1 से 10 तक होती हैं जबकि भिन्न असीमित होती हैं।
  • दशमलव हमेशा 0 से शुरू होती हैं और भिन्न 1 से।
  • किस प्रकार की संख्याएँ जटिल संख्याएँ हैं?

    <p>रैशनल और इरैशनल संख्याएँ दोनों।</p> Signup and view all the answers

    गुणा और भाग का क्रम क्या होता है?

    <p>गुणा और भाग समान प्राथमिकता रखते हैं।</p> Signup and view all the answers

    कौन सी संख्या एक सम संख्या है?

    <p>4</p> Signup and view all the answers

    यदि $x = 3^2$ है तो $x$ का मान क्या है?

    <p>9</p> Signup and view all the answers

    0 को किन संख्याओं में वर्गीकृत किया जा सकता है?

    <p>प्राकृतिक और पूरे दोनों।</p> Signup and view all the answers

    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।

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