Mathematics: Fundamental Operations
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Questions and Answers

Which operation is NOT commonly performed on fractions?

  • Subtraction
  • Addition
  • Division
  • Exponential (correct)
  • When converting a decimal to a percentage, what should you do?

  • Add 50 to the decimal
  • Divide the decimal by 100
  • Multiply the decimal by 10
  • Multiply the decimal by 100 (correct)
  • What is the result of $\frac{3}{4} + \frac{2}{3}$?

  • $\frac{5}{7}$
  • $\frac{17}{12}$ (correct)
  • $\frac{9}{12}$
  • $\frac{11}{12}$
  • Which of the following represents the multiplication of 0.3 and 0.6?

    <p>0.36</p> Signup and view all the answers

    If a business has a profit margin of 25%, how would you express this as a decimal?

    <p>0.25</p> Signup and view all the answers

    What is the main goal of descriptive research design?

    <p>To describe the characteristics of a phenomenon</p> Signup and view all the answers

    Which type of quantitative research design examines the relationship between variables without establishing causation?

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

    What distinguishes quasi-experimental design from true experimental design?

    <p>Absence of random selection and assignment</p> Signup and view all the answers

    Ex post facto research investigates relationships between which of the following?

    <p>Previous events and present conditions</p> Signup and view all the answers

    In a descriptive study on high school students during quarantine, what would be a likely focus?

    <p>The frequency of various physical activities performed</p> Signup and view all the answers

    Which of the following is a characteristic of correlational research?

    <p>It explores the degree of relationship between variables.</p> Signup and view all the answers

    What scenario exemplifies ex post facto research?

    <p>Assessing how unemployment affects safety compliance</p> Signup and view all the answers

    What is a key limitation of quasi-experimental designs?

    <p>They lack control over confounding variables.</p> Signup and view all the answers

    Which of the following types of research does NOT involve hypothesis testing?

    <p>Descriptive research</p> Signup and view all the answers

    In a quasi-experimental study, what is typically compared?

    <p>Treatment and non-treatment groups</p> Signup and view all the answers

    Study Notes

    Understanding Fundamental Operations

    • Understanding fractions, decimals, and percentages is essential for various mathematical applications.
    • Key operations include addition, subtraction, multiplication, and division across all three concepts.

    Operations on Fractions

    • Addition of fractions requires a common denominator for accurate computation.
    • Subtraction follows the same principle as addition in finding a common denominator.
    • Multiplication of fractions involves multiplying numerators and denominators directly.
    • Division of fractions is performed by multiplying the first fraction by the reciprocal of the second.

    Operations on Decimals

    • Addition and subtraction of decimals require aligning decimal points for accurate calculations.
    • Multiplication of decimals involves multiplying as whole numbers, then placing the decimal point based on the total digits in both factors.
    • Division of decimals may require moving the decimal point in the divisor to make it a whole number, and similarly adjust the dividend.

    Working with Percentages

    • Percentages represent a fraction out of 100 and can be converted from both fractions and decimals.
    • To find a percentage, divide the part by the whole and multiply by 100.
    • Percent increases and decreases are calculated by determining the difference and dividing it by the original amount, then multiplying by 100.

    Application in Business Context

    • Understanding these operations allows for solving real-world problems involving profit margins, discounts, and financial calculations.
    • Accurate manipulation of fractions, decimals, and percentages is vital in fields such as accounting and finance.

    Kinds of Quantitative Research

    • Quantitative research can be categorized into several designs: descriptive, correlational, ex post facto, quasi-experimental, and experimental.

    Descriptive Design

    • Focuses solely on describing a phenomenon as it occurs, without experimental manipulation or predefined hypotheses.
    • Aims to provide an understanding of the subject's characteristics.
    • Example: Assessing the frequency of different physical activities among high school students during the quarantine period.

    Correlational Design

    • Examines the relationship between two or more variables without indicating causation.
    • Data collection is done through observation.
    • Example: Analyzing the connection between the frequency of physical activity and academic achievement among students.

    Ex Post Facto Design

    • Investigates relationships between past events and current conditions, examining potential causes of existing phenomena.
    • "Ex post facto" translates to "after the fact," focusing on hindsight analysis without experimental manipulation.
    • Example: Exploring how parents' academic achievements influence their children's obesity rates.

    Quasi-Experimental Design

    • Used to identify cause-and-effect relationships between variables but lacks a full experimental approach due to absence of random assignment.
    • Independent variables are identified but not manipulated; pre-existing groups are used for comparison.
    • Example: Studying the impact of unemployment on attitudes towards safety protocols during Enhanced Community Quarantine (ECQ) in certain areas.

    Experimental Design

    • Aims to establish cause-and-effect relationships through rigorous methods, including random assignment of subjects and experimental manipulation of variables.
    • Provides stronger validity and conclusive results compared to quasi-experimental designs.
    • Example: Comparing the effects of different blended learning methods on elementary students' reading comprehension.

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    Description

    This quiz covers essential operations with fractions, decimals, and percentages necessary for effective mathematical applications. It includes addition, subtraction, multiplication, and division techniques specific to each concept. Test your understanding and skills on these fundamental mathematical operations.

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