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This sounds like a variation of the "Why do we hafta know this?" discussion that has been going on between students and teachers for as long as there have been students and teachers. The short answer, as you already suspected, is that finding the greatest common factor of a given set of numbers won't have any effect on the global war on terror, racial discrimination or world hunger. But recent history has not demonstrated that world problems are solvable and the likelihood is strong that neither you nor I will be solving them even if such a thing is possible. It's a specious argument at best. There are a great many things in this world that will not solve real world problems.
Closer to home, then. Finding the GCF will not assist in meal preparation, bed making or getting those really tough stains out of the laundry. Finding the GCF will not decode any of the mysteries of the opposite sex, unless you find a partner who will find a GCF for you.
What it will do is give you some practice in the relationships and manipulation of numbers, which is a valuable skill. It will help in the reduction of fractions for which, if you have not yet encountered them, you will be grateful for the assistance. On a purely practical note, it will help you to pass this class, which will improve your GPA, which will get you into a better college, which will increase your earning potential, which will help in attracting a suitable mate, which will make your life easier. And that, is your real world.
Define "real-world problems." Finding a greatest common factor won't do anything about global famine, world hunger or whatever relationship troubles you may find yourself in in the future. If, on the other hand, you find yourself needing to simplify a fraction, you will be well equipped to do so.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.
The most frequent use of GCF is in reducing fractions. If you divide the numerator and the denominator by the GCF the result is called reduced.
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How do you factor the greatest common multiple from a polynomial?
The greatest common multiple is an infinite amount and not very practical for problem solving.
What is the greatest common multiple of 5 9 and 13?
The greatest common multiple is an infinite amount and not very practical for problem solving.
What is the greatest common multiple of 12 22 and 23?
The greatest common multiple is an infinite amount and not very practical for problem solving.
What gretest common multiple of 91 and 36?
The greatest common multiple is an infinite amount and not very practical for problem solving.
What is the greatest common factor of 105 and 7?
The greatest common denominator is an infinite number and not very practical for problem solving. The GCF is 7. The LCM is 210.
Why should students be aware of problem-solving strategies?
Students should be aware of problem solving strategies because they are useful in life as well as in the classroom.
What is cognitive and Meta-cognitive factors?
Cognitive factors refer to mental processes involved in thinking, such as memory, attention, problem-solving, and decision-making. meta-cognitive factors involve thinking about and regulating one's own cognitive processes, such as awareness of one's learning strategies, monitoring comprehension, and self-reflection on problem-solving approaches.
What are problem solving strategies used by scientists?
They are the series of steps in the scientific method.
How many kind of problem solving strategies are they?
There are generally four types of problem solving strategies: trial and error, algorithmic, heuristic, and insight-based. Each strategy involves a different approach to finding solutions to problems.
What problem solving strategies dont guaruntee solutions but make efficient use of time?
Heuristics
How do you greatest common multiple?
The greatest common multiple is an infinite amount and not very practical for problem solving.
What style of policing focuses on problem solving?
Community policing focuses on problem-solving by building partnerships with community members to identify and address the root causes of crime and disorder. This approach emphasizes collaboration, problem-solving, and proactive strategies to improve public safety.
What is the greatest common multiple of 28 and 36?
The greatest common multiple is infinite and not very practical for problem solving.
What is george polya's problem solving strategies?
George Polya's problem-solving strategies include understanding the problem, devising a plan, carrying out the plan, and looking back to evaluate the solution. Key components of his problem-solving approach are breaking down the problem into smaller parts, considering alternative approaches, and using trial and error to test solutions. His methods emphasize logical reasoning, perseverance, and adaptability in tackling complex problems.
What are solvability factors?
Solvability factors refer to characteristics or conditions that affect the ability to solve a problem or reach a solution. These can include the complexity of the problem, the availability of relevant information, the skills and knowledge of the problem-solver, and the time and resources allocated to solving the problem. Understanding these factors can help improve problem-solving outcomes.
What problem-solving strategies don't guarantee solutions but make efficient use of time?
Some problem-solving strategies that don't guarantee solutions but are efficient include brainstorming multiple solutions, breaking down the problem into smaller parts, and seeking input from others. These methods can help generate new ideas and perspectives to tackle the problem effectively.
What is the difference between solving a problem with direct modeling and solving a problem with an invented strategy?
Direct Modeling; the use of manipulatives and drawings along with counting to represent directly the meaning of a story or problem, is the step that usually precedes invented strategies.
