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 (B)</p> Signup and view all the answers

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

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

What kind of number is pi considered to be?

<p>Irrational (A)</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 (C)</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 (A)</p> Signup and view all the answers

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

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

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

<p>Denominator (A)</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} (D)</p> Signup and view all the answers

What does a division between two whole numbers represent?

<p>A fraction (A)</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} (B)</p> Signup and view all the answers

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

<p>Decimal (B)</p> Signup and view all the answers

What type of number is pi considered to be?

<p>Irrational (A)</p> Signup and view all the answers

How are repeating decimals characterized?

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

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

<p>$x = 78 / 99$ (A)</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 (D)</p> Signup and view all the answers

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