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Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

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โˆ™ 2017-02-26 20:31:25
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Q: How is multiplying and dividing rational numbers similar?
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How is dividing fractions similar to multiplying fractions?

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


What are the elements in rational numbers having multiplicative inverse?

All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.


How are multiples and factors similar and different from each other?

They're both whole numbers. Factors go into numbers, numbers go into multiples. They have an inverse relationship. If A is a factor of B, then B is a multiple of A.


How are factors and multiples similar?

They have an inverse relationship in the sense that if A is a multiple of B, then B is a factor of A.They describe relationships between numbers.


Are Egyptian pyramids were similar to Sumerian ziggurats in that both were remarkable feats of engineering that required huge numbers of laborers and complex organization?

Yes. Both ziggurats and pyramids were huge tasks that required the labor of thousands to complete.

Related questions

How is multiplying and dividing rational numbers similar to multiplying and dividing integers?

did you get this off of big ideas learning


How is multiplying rational numbers like multiplying fractions and multiplying decimals?

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


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.


How is multiplying complex numbers similar to multiplying polynomials?

no


How is the process of dividing integers similar to the process of multiplying integer?

SMS,soso


How is dividing fractions similar to multiplying fractions?

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


Is multiplying decimals and whole numbers similar?

Very.


How are multiplying and dividing fractions similar?

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


How is the process of dividing intergers similar to the process of multiplying intergers?

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


How is multiplying by a 3 digit numbers similar to multiplying by a 2 digit number?

6


How is dividing decimals similar to dividing whole numbers?

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


How is multiplying by 3 digit number similar to multiplying by 1 digit number?

3

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