All right, so that's how we add Thio rational numbers when they have the same sign you're gonna add when they have different signs should probably put signs in here. And like I said, we'll do a couple of examples together. So we're going to subtract their absolute values now, in regards to the sign, we're going to keep the sign of the larger absolute value number so and keep keep to sign of the bigger number and keep the sign of the bigger number. Let's make that letter a little eligible here. So we're going to subtract their absolute values So that's gonna be the first thing is we're going to subtract their absolute values. Well, then what are you going to dio when they're different signs? Well, the opposite of adding would be subtract. Okay, so that's what happens when they're the same sign you're gonna add their absolute values and keep the sign. If both numbers were negative, then you'll keep your answer negative. So we'll add their absolute values and keep the sign meaning If both numbers were positive, your answer will be positive. So you're gonna add their absolute values and we'll go over this in some examples. So the couple of general rules to remember is that when you're adding two numbers that have the same side, what you want to do is add their absolute values and keep the sign of the larger number. But essentially, we're gonna be dealing with what happens when numbers have the same sign. Um, negative numbers, decimals, fractions, all of these. Those are all the types of numbers you've been talking about throughout your entire mathematical career So far, you could talk about whole numbers. So try to use the Improper Fraction when doing mathematics.So in this section, we're gonna be talking about adding, subtracting rational numbers, Remember a rational number. where the top number is bigger then the bottom number) as a Mixed Fraction:īut for mathematics the "Improper" form (such as 7/ 4) is actually better.īecause Mixed fractions (such as 1 3/ 4) can be confusing when we write them down in a formula, as it can look like a multiplication: Mixed Fraction: We may be tempted to write an Improper Fraction (a fraction that is "top-heavy", i.e. Now it is in "simplest form", which is how most people want it! Be Careful With "Mixed Fractions" We can divide both top and bottom by 5 to get: ÷ 5 Sometimes we have a rational number like this: Multiply both parts of each number by the bottom part of the otherĪnd an example of subtraction (the middle step is skipped to make it quicker): Simplest Form We will cover Addition and Subtraction in one go, as they are the same method.īefore we add or subtract, the rational numbers should have the same bottom number (called a Common Denominator). Here is an example: Addition and Subtraction To divide two rational numbers, first flip the second number over (make it a reciprocal) and then do a multiply like above: To multiply two rational numbers multiply the tops and bottoms separately, like this: Let us start with multiplication, as that is the easiest. You might also like to read Fractions in Algebra. Here we will see those operations in a more general Algebra style. Well, a rational number is a fraction, so we can use:
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