Decimals and Fractions Introduction
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Questions and Answers

What is the value located at the top of a fraction called?

  • Denominator
  • Divisor
  • Quotient
  • Numerator (correct)

    • If a whole amount is divided into 5 equal parts, how would each part be represented in a fraction?

  • $\frac{1}{4}$
  • $\frac{1}{5}$ (correct)
  • $\frac{1}{3}$
  • $\frac{1}{6}$

    • What type of number usually results from the division represented by a fraction?

  • Irrational number
  • Decimal number (correct)
  • Whole number
  • Fraction

    • What does the denominator of a fraction indicate?

    <p>Number of parts the whole was divided into</p> Signup and view all the answers

    In decimals, what do the numbers after the decimal point represent?

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

    What kind of number is pi considered to be?

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

    How are repeating decimals characterized?

    <p>By a repetition of one number or a sequence of them after the decimal point</p> Signup and view all the answers

    What is the common strategy to transform repeating decimals into fractions?

    <p>Multiply by a power of 10 until repeating digits are on the left side of the decimal point</p> Signup and view all the answers

    How do you represent a single-digit repeating decimal like 0.333... as a fraction?

    <p>$\frac{1}{3}$</p> Signup and view all the answers

    In the context of converting numbers with repeating and non-repeating decimals, what is the significance of identifying the digit that is repeated?

    <p>It determines the whole number part of the mixed fraction</p> Signup and view all the answers

    What is the value located at the bottom of a fraction called?

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

    When a whole amount is divided into 3 equal parts, how would each part be represented in a fraction?

    <p>\frac{1}{3}</p> Signup and view all the answers

    What does a division between two whole numbers represent?

    <p>A fraction</p> Signup and view all the answers

    If one spends half of a whole amount, how would this be represented as a fraction?

    <p>\frac{1}{2}</p> Signup and view all the answers

    What kind of number usually results from the division represented by a fraction?

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

    What type of number is pi considered to be?

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

    How are repeating decimals characterized?

    <p>They have a bar over the repeating digits</p> Signup and view all the answers

    What kind of decimal value is more accurately represented by a fraction?

    <p>Decimal values with infinite numbers after the point</p> Signup and view all the answers

    In converting multi-digit repeating decimals to fractions, what result is obtained after solving 99x = 78?

    <p>$x = 78 / 99$</p> Signup and view all the answers

    What is the significance of multiplying the equation in numbers with repeating and non-repeating decimals by 10?

    <p>It helps in establishing equivalence between fractions and decimals</p> Signup and view all the answers

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