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Q: How is multiplying and dividing rational numbers similar?

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did you get this off of big ideas learning

Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.

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.

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It is similar because when you divide fractions you are technically multiplying the second number's reciprocal. (Turning the fraction the other way around)

SMS,soso

Dividing anything by a fraction is the same as multiplying by the fraction's reciprocal. For example, 4 Ã· 2/7 = 4 x 7/2 = 14

Very.

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integers are negative and poitive numbers you can multipy and divide poitive numbers but you can't divide negative numbers because you can't have negitve divded by a other number

In that you carry out exactly the same steps - AND you must determine the correct position of the decimal point.

Operations with rational numbers are carried out in exactly the same way as those for irrational numbers. There is, therefore, no difference in the methods for solving the two types of problems.

Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)

Multiplication of fractions is similar to multiplication of whole numbers. Often, multiplication of fractions can be made easier by first performing cancellation. Cancellation involves dividing both a numerator and a denominator by the same number. This is the same as dividing a fraction by one, and so it does not alter the answer. When cancelling, cross out the old terms and write in the new terms.

Dividing anything by a fraction is equivalent to multiplying the same number by the reciprocal of the fraction. Thus, x / (p/q) = x * (q/p) where x is any number, and p and q are non-zero integers.

10000

the answer is 12 you can find the answer by making factor trees and multiplying the similar prime numbers.

Consider 23/1.344 This can be written as 23000/1344 (we multiplied both numerator and denominator by 1000 and doing so does not change the original value). Lo and behold we have converted dividing by decimal to dividing whole numbers. Consider 23.089/4.6788 This can be written as 230890/46788 (we multiplied both numerator and denominator by 10000 and doing so does not change the original value). Lo and behold we have converted dividing by decimal to dividing whole numbers.

Multiplying decimals: Example: 2.5 x 1.3 = 3.25 Start by removing the decimal points, thus: 25 x 13 = (the answer is 325) Both 2.5 and 1.3 have 1 decimal places, so 1 + 1 = 2 (decimal places) Counting 2 places, right to left, places the decimal point here: 3.25 Search Google for division of decimals - there are plenty of how to examples and help on the internet!

Dividing by decimal is different from dividing by whole number as you have to multiply by a number to remove the decimal.

Because they are equivalent ratios

Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5

They are similar. When dividing fractions, you multiply by the reciprocal. 2/5 divided by 3/4 is the same as 2/5 x 4/3

They really aren't all that similar... Greastest common factor finds the greatest number that you can divide both numbers by... for example, the GCF of 15 and 20 is 5, because 15 / 3 = 5 and 20 / 4 = 5, there is no higher number for division purposes that the two share. 10 is higher than 5 in the case of 20, but you cannot divide 15 by 10 without getting a remainder of 5. Least common multiple finds the smallest common number that you can get when multiplying a number... for example, the LCM of 15 and 45 is 15 itself; 15 x 1 = 15, and 15 x 3 = 45. There is no smaller number that you can find that is common between the two. Another example, since the previous one had an LCM of an actual number being asked would be 18 and 24... in this case it would be 72 because there is no smaller number that the two share when multiplied by another value. They are somewhat similar in how you find the end value, however. By dividing the two given numbers in the case of LCM, you will eventually break them up into prime numbers. Eliminating all similar numbers and then multiplying what is left will give you the LCM. In the case of GCF, by doing the same thing minus multiplying the prime numbers, you will end up finding the greatest number that the two are divisible by.