Estimation Techniques in Problem Solving
36 Questions
2 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the square of -4?

  • -4
  • -16
  • 4
  • 16 (correct)

    • What is the square root of 9?

  • -3
  • 81
  • 3 (correct)
  • 27

    • If the side length of a square is 7 units, what is the area of the square?

  • 49 square units (correct)
  • -14 square units
  • 14 square units
  • -7 square units

    • Which number has a negative square root?

    <p>-16</p> Signup and view all the answers

    What is the square root of 100?

    <p>10</p> Signup and view all the answers

    If the area of a square is 144 square units, what is the side length of the square?

    <p>12 units</p> Signup and view all the answers

    What is front-end estimation?

    <p>Estimating a calculation by rounding the numbers involved and calculating using the rounded values</p> Signup and view all the answers

    How does front-end rounding work with decimals?

    <p>The place values to the right of the rounded number are truncated or cut off</p> Signup and view all the answers

    What is the result of front-end rounding 0.796 to the nearest tenth?

    <p>0.8</p> Signup and view all the answers

    In which type of problems can front-end estimation be used?

    <p>Addition, subtraction, multiplication, and division problems</p> Signup and view all the answers

    What is a reason to learn rounding?

    <p>Rounding makes estimation possible</p> Signup and view all the answers

    What is involved in front-end estimation?

    <p>Front-end rounding each number and calculating using the rounded values</p> Signup and view all the answers

    What is the purpose of rounding numbers in estimation?

    <p>To make solving problems quicker and easier</p> Signup and view all the answers

    What is the proper format for conducting square root problems?

    <p>Place the number for which a square root is being sought under the radical sign as the radicand</p> Signup and view all the answers

    What are perfect square roots?

    <p>Square roots that result in a whole number</p> Signup and view all the answers

    What is the result of an imperfect square number?

    <p>An irrational square root</p> Signup and view all the answers

    How can common times tables help in estimating square roots?

    <p>They can help identify the relative distance between imperfect squares and perfect squares</p> Signup and view all the answers

    What is the purpose of rounding numbers to the nearest whole number in the given context?

    <p>To simplify and speed up problem solving</p> Signup and view all the answers

    What is the square root of 81?

    <p>9</p> Signup and view all the answers

    Which property states that square roots do not distribute over addition?

    <p>Distributive property</p> Signup and view all the answers

    What is the rounded answer when rounding 793 to the nearest hundred?

    <p>800</p> Signup and view all the answers

    When estimating a square root, what is the recommended approach to test the guess?

    <p>Square the guess and see if it is close to the original radicand.</p> Signup and view all the answers

    What is the recommended approach to calculate the square root of a number without a calculator?

    <p>Identify two perfect squares near the radicand, then divide and average the results.</p> Signup and view all the answers

    Why is estimation important in everyday life?

    <p>To save time and efficiently handle everyday tasks.</p> Signup and view all the answers

    In the example of shopping with a budget, what is an advantage of using estimation?

    <p>It helps quickly estimate total costs without adding up exact values.</p> Signup and view all the answers

    What is one area where estimation can be beneficial in everyday life?

    <p>Budgeting and making purchase decisions at a store.</p> Signup and view all the answers

    What is the purpose of estimation in the context of fuel remaining in a car?

    <p>To have a rough idea of how far the car can go with the remaining fuel</p> Signup and view all the answers

    How does estimating time help in avoiding being late for appointments?

    <p>By providing a buffer time for unexpected delays</p> Signup and view all the answers

    In which of the scenarios is estimation used to make quick decisions before an accurate calculation is required?

    <p>Estimating math solutions in an academic setting</p> Signup and view all the answers

    What is the significance of rounding to the nearest multiple of ten when estimating?

    <p>It simplifies the calculation process</p> Signup and view all the answers

    What does the term 'percent' mean?

    <p>Per hundred</p> Signup and view all the answers

    When estimating time for running errands during a lunch break, what should be considered most important?

    <p>Estimating a buffer time for unexpected delays</p> Signup and view all the answers

    What is the main advantage of using estimation to check math solutions?

    <p>It saves time in calculation</p> Signup and view all the answers

    What does 99% mean in the context of shooting basketball shots?

    <p>99 out of 100 shots made</p> Signup and view all the answers

    Why is it important to estimate the distance remaining in a car based on fuel capacity?

    <p>To avoid running out of fuel unexpectedly</p> Signup and view all the answers

    'Per cent' literally means 'per' ________.

    <p>$100$</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser