Math Gr 8 Ch 6: Equivalent Forms
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Questions and Answers

What is the purpose of simplifying fractions?

  • To convert fractions to decimals
  • To find an equivalent fraction in its simplest form (correct)
  • To find the greatest common divisor (GCD) of the numerator and denominator
  • To add or subtract fractions with different denominators

    • What is the method to convert a decimal to a fraction?

  • Divide the decimal by 10 and simplify
  • Write the decimal as a fraction with a denominator of a power of 10 and then simplify (correct)
  • Multiply the decimal by 10 and simplify
  • Subtract the decimal from 1 and simplify

    • What is the result of multiplying or dividing both the numerator and the denominator of a fraction by the same number?

  • A decimal equivalent
  • A simplified fraction
  • An algebraic expression
  • An equivalent fraction (correct)

    • What is the purpose of finding common denominators when adding or subtracting fractions?

    <p>To enable addition or subtraction of fractions with different denominators</p> Signup and view all the answers

    What is the process of expressing an algebraic expression as a product of its factors?

    <p>Factoring the expression</p> Signup and view all the answers

    What is the result of combining like terms in an algebraic expression?

    <p>A simplified expression</p> Signup and view all the answers

    What property of operations is used to generate equivalent algebraic expressions?

    <p>All of the above</p> Signup and view all the answers

    What are equivalent decimals?

    <p>Decimals that represent the same value</p> Signup and view all the answers

    What is the key characteristic of equivalent fractions?

    <p>They have different numerators and denominators but represent the same value</p> Signup and view all the answers

    What is the purpose of finding the greatest common divisor when simplifying a fraction?

    <p>To divide the numerator and the denominator by their greatest common divisor</p> Signup and view all the answers

    Which of the following is an example of an equivalent decimal?

    <p>0.5 and 1/2</p> Signup and view all the answers

    What is the result of converting a fraction to an equivalent decimal?

    <p>A decimal with a finite number of digits</p> Signup and view all the answers

    Which method can be used to identify equivalent algebraic expressions?

    <p>All of the above</p> Signup and view all the answers

    What is the purpose of using the distributive property in algebraic expressions?

    <p>To generate equivalent algebraic expressions</p> Signup and view all the answers

    Which of the following is an example of an equivalent algebraic expression?

    <p>2x + 3 and 2(x + 3)</p> Signup and view all the answers

    What is the result of applying the commutative property to an algebraic expression?

    <p>An equivalent algebraic expression</p> Signup and view all the answers

    What is the primary reason for simplifying algebraic expressions?

    <p>To reveal the underlying structure of the expression</p> Signup and view all the answers

    Which of the following is a characteristic of equivalent fractions?

    <p>They represent the same value</p> Signup and view all the answers

    What is the purpose of finding the greatest common divisor when simplifying a fraction?

    <p>To divide the numerator and denominator by the same number</p> Signup and view all the answers

    Which of the following is an example of using the distributive property to generate equivalent algebraic expressions?

    <p>2(x + 3) = 2x + 6</p> Signup and view all the answers

    What is the result of converting a fraction to an equivalent decimal?

    <p>A decimal with an infinite number of digits</p> Signup and view all the answers

    Which method can be used to identify equivalent algebraic expressions?

    <p>Simplifying the expressions</p> Signup and view all the answers

    What is the purpose of using common denominators when adding or subtracting fractions?

    <p>To enable the addition or subtraction of the fractions</p> Signup and view all the answers

    Which property of operations is used to generate equivalent algebraic expressions?

    <p>All of the above</p> Signup and view all the answers

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