Module 4: Operations with Fractions

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Questions and Answers

What is a mixed number?

A number made up of a whole number and a fraction.

What does the order of operations in mathematics represent?

  • PEMDAS (correct)
  • Basic arithmetic rules
  • The order of numbers
  • Subtraction before addition

What are reciprocals?

Two numbers whose product is one.

What is area?

<p>The number of square units required to cover a surface.</p> Signup and view all the answers

What is the denominator in a fraction?

<p>The number below the line in a fraction.</p> Signup and view all the answers

What is a fraction?

<p>Part of a whole.</p> Signup and view all the answers

What is the greatest common factor (GCF)?

<p>The largest factor that two or more numbers have in common.</p> Signup and view all the answers

What is the least common multiple (LCM)?

<p>The smallest multiple that two or more numbers have in common.</p> Signup and view all the answers

What is the numerator in a fraction?

<p>The part of a fraction above the line, which tells how many parts are being counted.</p> Signup and view all the answers

What is the product in mathematics?

<p>The answer to a multiplication problem.</p> Signup and view all the answers

What does width refer to?

<p>The measurement associated with an object's side-to-side dimension.</p> Signup and view all the answers

What is length?

<p>Distance between two points.</p> Signup and view all the answers

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Study Notes

  • Mixed Number: A combination of a whole number and a fraction, representing values greater than one whole.
  • Reciprocals: A pair of numbers whose multiplication results in one; e.g., the reciprocal of 4 is 1/4.
  • Fraction: A numerical representation indicating a part of a whole, expressed as a numerator over a denominator.
  • Numerator: Represents the number of parts being considered in a fraction, located above the fraction line.
  • Denominator: The divisor in a fraction, indicating how many equal parts the whole is divided into, located below the fraction line.

Mathematical Concepts and Operations

  • Order of Operations: Follows the acronym PEMDAS to determine the sequence of operations in calculations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.
  • Product: The result obtained from multiplying two or more numbers together.

Factors and Multiples

  • Greatest Common Factor (GCF): The largest factor that is common to two or more numbers, used to simplify fractions and solve problems involving divisibility.
  • Least Common Multiple (LCM): The smallest multiple shared by two or more numbers, useful for finding common denominators in fraction addition or subtraction.
  • Area: The total square units needed to cover a surface, calculated using the formula: Area = Length x Width.
  • Length: The measurement of distance between two points, used as one of the dimensions in area calculation.
  • Width: The side-to-side measurement of an object, also used in calculating area alongside length.

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