Estimation Techniques in Problem Solving
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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 (D)</p> Signup and view all the answers

What is the square root of 100?

<p>10 (A)</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 (D)</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 (C)</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 (A)</p> Signup and view all the answers

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

<p>0.8 (A)</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 (B)</p> Signup and view all the answers

What is a reason to learn rounding?

<p>Rounding makes estimation possible (D)</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 (C)</p> Signup and view all the answers

What is the purpose of rounding numbers in estimation?

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

What are perfect square roots?

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

What is the result of an imperfect square number?

<p>An irrational square root (C)</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 (D)</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 (A)</p> Signup and view all the answers

What is the square root of 81?

<p>9 (C)</p> Signup and view all the answers

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

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

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

<p>800 (D)</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. (B)</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. (D)</p> Signup and view all the answers

Why is estimation important in everyday life?

<p>To save time and efficiently handle everyday tasks. (A)</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. (A)</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. (C)</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 (A)</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 (D)</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 (A)</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 (C)</p> Signup and view all the answers

What does the term 'percent' mean?

<p>Per hundred (C)</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 (A)</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 (B)</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 (A)</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 (B)</p> Signup and view all the answers

'Per cent' literally means 'per' ________.

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

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