# What Is Logical Problem Solving?

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Logical problem solving is the use of words and expressions to logically form mathematical symbols to solve equations. Find out how to solve logical problems by tackling one word at a time with help from a math teacher in this free video on basic math lessons.

Part of the Video Series: Math Lessons
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## Video Transcript

What is logical problem solving? Hi, my name is Jimmy Chang and I've been teaching college mathematics for nine years. And logical problem solving sounds like something that's rather complicated but once you see the definition and an example on what the involves, then you should find it rather approachable, hopefully. So here's the definition. Logical problem solving is using of words and expressions to logically form mathematical symbols to solve equations. In other words, and being able to logically just write symbols on your way to forming an equation that will be solvable. So here's an illustration as to what this actually entails. Suppose you have the scenario, three less than twice a number is thirteen? What is the number? Now, when it comes to these problem solving problems it's always important to try to tackle things one phrase or word at a time. If you try to do the whole thing at once, it does tend to be a little overwhelming. So let's start from the beginning. Three less than, it's very easy to want to put the less than symbol on it. But three less than and we have a number less than something, it actually involves subtraction. So three less than means it's minus three. If the phrases had said three more than it would have been a plus three. Now twice a number. When you do something twice, you're doing something two times. Again, that's what it means, two times. Well, two times means multiplication. So that's what twice a number actually means. Twice a number means a number multiplied by two. So, let's let n be the number so on one side of the equation you have two n minus three is, that's another way of saying equal sign. So, just put the symbol equal after that and of course you know the rest is thirteen. Now to solve for it, it's just like any other algebra equation. Just get n by itself. Add three to both sides, you're going to have two n, the three is canceled equal to sixteen, and then the last step to get in by itself, divide both sides by two and you'll have as a result n equals to eight. So while logically forming the equation, which it was the harder part, solving it becomes pretty easy. So, I'm Jimmy Chang and that's an example of logical problem solving.

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