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Understanding Graphs and Cartesian Plane
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Understanding Graphs and Cartesian Plane

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Questions and Answers

What is the simplest way to estimate fractions?

  • Use the furthest whole number
  • Use prime numbers
  • Use the closest whole number (correct)
  • Use decimals

    • What type of fraction is a proper fraction?

  • Numerator and denominator are the same
  • Denominator is smaller than the numerator
  • Numerator is larger than the denominator
  • Numerator is smaller than the denominator (correct)

    • What is required before adding or subtracting unlike fractions?

  • Finding the greatest common factor
  • Converting both fractions to decimals
  • Finding the least common denominator (correct)
  • Multiplying the fractions directly

    • How are mixed numbers converted to improper fractions?

    <p>Multiply the denominator by the whole number and add that to the numerator</p> Signup and view all the answers

    What does a fraction consist of?

    <p>Numerator and denominator</p> Signup and view all the answers

    What operation is equivalent to dividing by a fraction?

    <p>Multiplying by its reciprocal</p> Signup and view all the answers

    How are equations with mixed numbers generally solved?

    <p>Turn mixed numbers into improper fractions first</p> Signup and view all the answers

    What do like fractions have in common?

    <p>The same denominators</p> Signup and view all the answers

    What is the process to simplify a proper fraction?

    <p>Find the greatest common factor and cancel it from both the numerator and denominator</p> Signup and view all the answers

    How can you determine if two fractions are equivalent using cross multiplication?

    <p>Multiply the numerator by the denominator of the other fraction</p> Signup and view all the answers

    How do you compare fractions with different denominators?

    <p>Determine the least common denominator</p> Signup and view all the answers

    What should be done first when ordering fractions with unlike denominators?

    <p>Determine the least common denominator</p> Signup and view all the answers

    How can you simplify a fraction that already uses large numbers?

    <p>Divide both numerator and denominator by a common factor</p> Signup and view all the answers

    What does rounding to the nearest whole number involve?

    <p>Comparing if the numerator is half of the denominator</p> Signup and view all the answers

    How do you determine if two fractions are equivalent by using multiplication?

    <p>Multiply both numerator and denominator by a common factor</p> Signup and view all the answers

    How is an improper fraction simplified?

    <p>Divide the denominator into the numerator</p> Signup and view all the answers

    What is a decimal number?

    <p>A number that has a decimal point</p> Signup and view all the answers

    How do we solve problems involving decimal numbers and patterns?

    <p>Examine the pattern, figure out the rule, write a formula, find any number</p> Signup and view all the answers

    Which of the following is NOT a type of fraction?

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

    What do we call the top number in a fraction?

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

    What does LCM stand for in the context of fractions?

    <p>Least Common Multiple</p> Signup and view all the answers

    How can different types of fractions be operated on?

    <p>Through addition and subtraction</p> Signup and view all the answers

    What is the purpose of finding a common multiple for fractions?

    <p>To make operations easier</p> Signup and view all the answers

    Why is it important to understand patterns before writing formulas for decimal numbers?

    <p>To avoid mistakes in calculations</p> Signup and view all the answers

    What does going to the right on the number line indicate?

    <p>Getting to larger numbers</p> Signup and view all the answers

    Where is the point (2, -4) located?

    <p>Lower right quadrant</p> Signup and view all the answers

    Which part of a graph helps in determining the precise location of points?

    <p>Ordered pairs</p> Signup and view all the answers

    What are the four areas created by the x and y axes called?

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

    What does the first number in an ordered pair represent?

    <p>X-axis value</p> Signup and view all the answers

    Where is the point (1, 2) located?

    <p>Upper right quadrant</p> Signup and view all the answers

    Which part of a graph helps in understanding the relationship between variables?

    <p>Ordered pairs</p> Signup and view all the answers

    What does a positive x-intercept line indicate?

    <p>Crosses the x-axis to the right of the origin</p> Signup and view all the answers

    What is the numerator in a fraction?

    <p>The whole number a</p> Signup and view all the answers

    How is combining fractions by addition or subtraction done?

    <p>By finding a common denominator and then combining numerators</p> Signup and view all the answers

    What is the correct method for multiplying fractions?

    <p>Multiplying both the numerators and denominators</p> Signup and view all the answers

    How can repeating decimals be represented using fractions?

    <p>By using a power of 10</p> Signup and view all the answers

    What is the relationship between dividing by a number and multiplying by its reciprocal?

    <p>Multiplying by the reciprocal is the inverse of dividing</p> Signup and view all the answers

    How are percents converted to fractions?

    <p>Drop the % sign, write as a fraction with denominator of 100</p> Signup and view all the answers

    What is the purpose of plotting numbers on a number line?

    <p>To learn how to compare numbers visually</p> Signup and view all the answers

    Where should negative numbers be placed on a number line?

    <p>To the left of 0</p> Signup and view all the answers

    What does the first number in an ordered pair indicate?

    <p>Location on the x-axis</p> Signup and view all the answers

    Which part of a graph helps in locating the quadrants?

    <p>Ordered pairs</p> Signup and view all the answers

    Where is the point (0, 0) located on the coordinate plane?

    <p>Center of the cartesian plane</p> Signup and view all the answers

    What do axes labels on a graph help to understand?

    <p>The representation of the graph</p> Signup and view all the answers

    What is the purpose of the x and y-intercepts on a graph?

    <p>To cut the axes at a specific number</p> Signup and view all the answers

    What is the first step in transforming repeating decimals into fractions?

    <p>Identify the repeating digit</p> Signup and view all the answers

    In which quadrant is point (-3, -5) located?

    <p>Quadrant IV</p> Signup and view all the answers

    How are repeating decimals more accurately represented using fractions?

    <p>By identifying the repeating digit</p> Signup and view all the answers

    What part of the graph helps paint a picture of the relationship of variables to each other?

    <p>Lines and points</p> Signup and view all the answers

    What do ordered pairs on a graph represent?

    <p>Points on the x and y axes</p> Signup and view all the answers

    What is the key difference in the process of combining fractions by addition or subtraction versus multiplication or division?

    <p>Common denominator required</p> Signup and view all the answers

    Which form of numbers expresses values as ratios showing the relationship between two parts?

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

    What is the main purpose of converting between different forms of numbers?

    <p>To be able to use numbers in various situations</p> Signup and view all the answers

    Where is the number 0 located on a number line?

    <p>In the middle</p> Signup and view all the answers

    How are negative numbers represented on a number line?

    <p>To the left of 0</p> Signup and view all the answers

    What should be done first when comparing multiple numbers on a number line?

    <p>Plot them on the number line</p> Signup and view all the answers

    What is the purpose of examining the pattern before writing a formula for decimal numbers?

    <p>To identify the rule governing the pattern</p> Signup and view all the answers

    What is the role of a fraction's denominator?

    <p>To represent the total number of parts</p> Signup and view all the answers

    What does the least common multiple (LCM) represent for two or more fractions?

    <p>The smallest integer that is a multiple of their denominators</p> Signup and view all the answers

    How are unit fractions different from other types of fractions?

    <p>They always have a numerator of 1</p> Signup and view all the answers

    What does a fraction's least common denominator (LCD) refer to?

    <p>The smallest number that can divide all denominators evenly</p> Signup and view all the answers

    How can you simplify a fraction that involves large numbers?

    <p>Multiply the numerator and denominator by a common factor</p> Signup and view all the answers

    What is the simplest way to estimate fractions?

    <p>Use the closest whole number</p> Signup and view all the answers

    What does a proper fraction mean?

    <p>Numerator is smaller than denominator</p> Signup and view all the answers

    How are mixed numbers converted to improper fractions?

    <p>Multiplying the denominator by the whole number and adding the numerator</p> Signup and view all the answers

    What is the correct method for adding fractions with unlike denominators?

    <p>Find the least common denominator and add the numerators</p> Signup and view all the answers

    What is important before adding or subtracting fractions with unlike denominators?

    <p>Finding a common denominator</p> Signup and view all the answers

    What is a mixed number?

    <p>A combination of a whole number followed by a fraction</p> Signup and view all the answers

    How are equations with mixed numbers generally solved?

    <p>By converting mixed numbers to improper fractions first</p> Signup and view all the answers

    What is dividing by a fraction equivalent to?

    <p>Multiplying by its reciprocal</p> Signup and view all the answers

    What is the purpose of finding the least common denominator when comparing and ordering fractions?

    <p>To convert fractions with unlike denominators to the same base</p> Signup and view all the answers

    How is simplifying an improper fraction different from simplifying a proper fraction?

    <p>Requires dividing the denominator into the numerator</p> Signup and view all the answers

    Why is cross multiplication used to determine if two fractions are equivalent?

    <p>To multiply the numerators and denominators</p> Signup and view all the answers

    What is the first step in rounding a fraction to the nearest whole number?

    <p>Comparing the numerator with half the denominator</p> Signup and view all the answers

    How can you simplify a fraction that contains another fraction or decimal?

    <p>Multiply by a value that cancels out the second fraction or decimal</p> Signup and view all the answers

    Why are equivalent fractions used in operations involving fractions?

    <p>To make calculations easier</p> Signup and view all the answers

    In comparing fractions, what does having different denominators require?

    <p>Finding a least common denominator</p> Signup and view all the answers

    What process is needed before adding fractions with unlike denominators?

    <p>Finding equivalent fractions with like denominators</p> Signup and view all the answers

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