Estimation Techniques in Problem Solving

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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?

-16 Signup and view all the answers

What is the square root of 100?

10 Signup and view all the answers

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

12 units Signup and view all the answers

What is front-end estimation?

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

How does front-end rounding work with decimals?

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

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

0.8 Signup and view all the answers

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

Addition, subtraction, multiplication, and division problems Signup and view all the answers

What is a reason to learn rounding?

Rounding makes estimation possible Signup and view all the answers

What is involved in front-end estimation?

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

What is the purpose of rounding numbers in estimation?

To make solving problems quicker and easier Signup and view all the answers

What is the proper format for conducting square root problems?

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

What are perfect square roots?

Square roots that result in a whole number Signup and view all the answers

What is the result of an imperfect square number?

An irrational square root Signup and view all the answers

How can common times tables help in estimating square roots?

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

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

To simplify and speed up problem solving Signup and view all the answers

What is the square root of 81?

9 Signup and view all the answers

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

Distributive property Signup and view all the answers

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

800 Signup and view all the answers

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

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

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

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

Why is estimation important in everyday life?

To save time and efficiently handle everyday tasks. Signup and view all the answers

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

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

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

Budgeting and making purchase decisions at a store. Signup and view all the answers

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

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

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

By providing a buffer time for unexpected delays Signup and view all the answers

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

Estimating math solutions in an academic setting Signup and view all the answers

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

It simplifies the calculation process Signup and view all the answers

What does the term 'percent' mean?

Per hundred Signup and view all the answers

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

Estimating a buffer time for unexpected delays Signup and view all the answers

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

It saves time in calculation Signup and view all the answers

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

99 out of 100 shots made Signup and view all the answers

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

To avoid running out of fuel unexpectedly Signup and view all the answers

'Per cent' literally means 'per' ________.

$100$ Signup and view all the answers