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

Q: How is multiplying and dividing rational numbers similar?

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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)

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.

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.

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.

Subtracting two positive fractional numbers, or adding one positive and one negative integer.

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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.

no

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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

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

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

Very.

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

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