In Sixth Grade Math, How Are Math Terms Related & Why Are They Grouped Together?

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Math terms are related and grouped together based on a number of criteria, like variables and exponents. Find out how math terms are related and grouped together in sixth grade math with help from an experienced mathematics educator in this free video clip.

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Hi, my name is Marija, and today I'm gonna answer how math terms are related and why they are grouped together. So math terms are related in a special way if they have the same variable and exponent. So for example, 6x-squared and 5x-squared are called like terms. They're called like terms because they both have the same variable of x, and they both have the same exponent of two. So now if I had an expression like 6x-squared minus 3y, plus 5x-squared minus y, I would rearrange this expression and group together the terms that are related, the like terms. So we would have 6x-squared plus 5x-squred, minus 3y and minus y. The reason that I'm grouping them together is because when you have like terms, they an be combined. So the way you combine them is you add or subtract their coefficients. Six plus five is 11, and you keep the variable and the exponent the same, 11x-squared. So the 6x-squared and the 5x-squared are able to be combined, because they're like terms, into 11x-squared. I also group together the negative 3y with the negative y, because they also have the same variable and the same imaginary one exponent. So I can combine these as well. Negative three minus one is negative four, and again, I just keep the variable and the exponent the same as they are. So, this expression was simplified into this one by grouping together the like terms and then combining them.

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