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Here is a suggestion:

1. Read the problem 3 times.

2. Draw a picture if you can.

3. Define a variable, preferably the quantity you are trying to find. {eg "Let x cm be the length of the rectangle."

4. Write down any formulas related to the problem, and define other quantities in terms of x. {eg A=lw, w=l-4

5. Write an equation involving the expressions from steps 3 and 4.

6. Solve the equation. {eg x=7

7. Answer the question in words. {eg "The length of the rectangle is 7cm."

8. Check your answer in the words of the question (not in the equation you wrote in step 5).

Q: Which steps should always be followed foe effective problem solving?

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not always,sometimes you have to solve for x

Any complex problem can always be made easier to understand, analyze, and thus solve when it is laid out in visual form. Sets help us visualize the issue/problem and put the various data at their proper places. Sets thus help isolate each facet of the problem and can facilitate solving the problem one intersection at a time.

The hypotenuse will always be longer than the other sides.

It depends on the problem but the solution is always the answer.

The answer is 55. A mathematical formula for solving this problem would be n(n+1)/2, where n is the largest natural number that you wish to sum. In this case, n=10. Of course, if you are using a computer program like MS Excel, you can always use the SUM function.

Related questions

developing a plan and then implementing the plan

it is not always problem solving

There are many limitations that mathematical models have as problem solving tools. There is always a margin of error for example.

They are positive thinkers, never a moment passes when they are convinced they can not do it. Redefining the problem to better solve it is a part is protocol. And lastly they always have a plan, a process. Such as analysis, proposition, planning to start.

Common sense can be a good starting point in problem-solving, but it may not always lead to the most effective or accurate solutions. It's important to combine common sense with critical thinking, research, and analysis to arrive at the best possible outcome. Relying solely on common sense may overlook important details or nuances that could impact the problem-solving process.

With computers there are always going to be problems that need solving, if something stops working, you have to find out what the possible situation is, test the situation and then record what happens, with more experience it becomes faster because you have done this before and it will save alot of time because you can cut many stages.

No because you always keep an equation in balance when solving it

I've always used Emerald Latex Gloves, and I've never had a problem.

She was known for her brainy approach to problem-solving that always impressed her colleagues.

She has an unorthodox approach to problem-solving, often coming up with unique and unexpected solutions.

You could talk about how you always see potential problems as an opportunity. You can say you especially welcome the opportunity to turn an unhappy customer into a customer for life by solving their problem.

It's always been effective and will always remain effective