What Two Rational Numbers Are Their Own Multiplicative Inverses?

What is the multiplicative inverse of 5 6?

So your answer is (5/6).

Now the multiplicative inverse is the reciprocal.

A reciprocal is a fraction flipped upside down.

So in this problem, the multiplicative inverse of -(5/6) is -(6/5)..

What is the product of a rational number and its multiplicative inverse?

Hence, the product of a fractional number and its multiplicative inverse is 1.

What numbers have their own reciprocals?

1 and -1 are the only rational numbers which are their own reciprocals. No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

Is 2/3 an irrational number?

In mathematics rational means “ratio like.” So a rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers. Most real numbers (points on the number-line) are irrational (not rational).

Can you write 0 in P by Q?

Answer. For a ratio to be 0 in the form p/q, p must be zero and q can be any (rational) number apart from zero, since division by 0 is an undefined operation.

What is the multiplicative inverse of 5 9?

The multiplicative inverse of -5/9 is 9/-5.

What is the multiplicative inverse of 5 11?

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What is the multiplicative identity of rational numbers?

The multiplicative identity for rational numbers is 1.

Is 0 is a rational number?

Zero Is a Rational Number As such, if the numerator is zero (0), and the denominator is any non-zero integer, the resulting quotient is itself zero.

Which is the smallest irrational number?

For example – The value of pi in mathematics is non repeating and non-terminating hence it is considered as irrational number.

What is the multiplicative inverse of 3 5?

If the product of two numbers is equal to 1, then those numbers are multiplicative inverses! The numbers 5/3 and 3/5 are multiplicative inverses!

How do you find the multiplicative inverse?

For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

What is the multiplicative inverse of 2 5?

So, the multiplicative inverse of 2/5 is 5/2.

Why is root 2 an irrational number?

Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational. This proof can be generalized to show that any square root of any natural number that is not the square of a natural number is irrational.

What is the multiplicative inverse of 15?

That’s it! It was really that simple! The multiplicative inverse of a number is that number as the denominator and 1 as the numerator. When we multiply 15 and 1/15, we get 1.

What is the multiplicative inverse of 5 7?

The multiplicative inverse of 5/7 is 7/5 = 1 2/5.

Will the product of two rational numbers always be rational?

“The product of two rational numbers is rational.” So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

What is the difference of two rational numbers?

The difference between two rational numbers, a/b and c/d, is equal to the result of subtracting the smaller number from the larger number. To find the difference between rational numbers, or to subtract rational numbers, we use the following formula: a/b – c/d = (ad – bc) / bd.