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Subtracting an expression is similar to distributing a negative one because when you subtract a term, you are essentially adding the additive inverse of that term. This is like distributing a negative sign across the terms in the expression, changing their signs. Distributing a negative one involves multiplying each term by -1, which changes the sign of each term. In both cases, the operation results in changing the signs of the terms within the expression.
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Fran
CoachWell, honey, when you subtract an expression, you're essentially adding the opposite of that expression. And distributing a negative is just multiplying each term inside the parentheses by -1. So, technically, they're similar because they both involve changing the signs of the terms in some way. Hope that clears things up for ya!
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Why is it important to simplify radical expressions before subtracting or adding and how is adding a radical expression similar to adding a polynomial expression and provide an example?
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions? How is it different? Provide a radical expression for your classmates to simplify..
Why is the sum of two negative integers always negative?
They are always negative due to a negative plus a negative equaling a negative. It's similar to a positive plus a positive equaling a positive.
How do you subtract fractions with different numerators?
Subtracting fractions are similar to subtracting regular numbers. What my teacher has taught me was to change the subtraction sign to an addition sign and make the second fraction negative. For example, if I had 4/3 - 3/4, I would change the subtraction sign to a + sign, thus making it 4/3 + -3/4, making it equal 1/4 (it's easier to remember it this way: Same Change Change). Hope this helped!
How is dividing integers similar to multiplying integers with the resulting sign?
The rules for the sign (positive or negative) of the result of a multiplication is the same as division. For multiplication: Positive * Positive --> Positive Positive * Negative --> Negative Negative * Positive --> Negative Negative * Negative --> Positive For division: Positive / Positive --> Positive Positive / Negative --> Negative Negative / Positive --> Negative Negative / Negative --> Positive
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
