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Which of the following sets of numbers contains multiplicative inverses for all its elements Positive Integers Integers Rational Numbers Real Numbers?
Wiki User
∙ 12y ago
Rational numbers and Real Numbers. The multiplicative inverses of integers are not integers.
Wiki User
∙ 12y ago
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Why are positive rational numbers greater than negative rational numbers?
Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.
Are all rational numbers integers-?
Rational numbers are integers and fractions
Are the rational numbers a subset of integers?
No, integers are a subset of rational numbers.
What is the multiplicative identity for a rational number?
One.
Are All rationals numbers are in the set of natural numbers?
1. No.The Natural numbers are the positive integers (sometimes the non-negative integers).Rational numbers are numbers that can be expressed as the quotient of two integers (positive or negative). All Natural numbers are in the set of Rational numbers. 2. No. Natural numbers are usually defined as integers greater than zero. A Rational number is then defined simply as a number that can be expressed as an integer divided by a natural number. (This definition includes all rational numbers, but excludes division by zero.)
Is positive integers are rational numbers or irrational?
Rational.
Is -5 an integer and an rational number?
-5 is an integer and a rational number. Integers can be positive or negative. Rational numbers can be expressed as a fraction of integers.
Is positive 95 a rational or irrational number?
That is a rational number, as are all of the integers.
Is negative17 rational or irrational?
Integers are rational numbers, whether they are positive or negative.
Why are positive rational numbers greater than negative rational numbers?
Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.
Is -9 an rational number?
Yes. All positive and negative integers are rational numbers.
Can a rational number be positive?
a rational number is any number that can be expressed as p/q where p and q are both integers. Since integers can most definitely be positive-- you might know them as the set of Natural numbers-- then yes, a rational number can be positive.
Is the number 88 a rational number?
Yes, the number 88 is rational. A "rational number" is any number that can be expressed as a ratio of integers. That is A/B where A and B are integers, and not zero. Rational numbers include all positive and negative integers and all positive and negative fractions (and mixed numbers when expressed as a fraction).
Is the inverse of aan irrational number is irrational?
Yes. Both the additive inverse and the multiplicative inverse would be irrational in this case. For example, if a and b are integers, a/b is rational by definition; in this case, b/a would also be rational, being the ratio of two integers.
Is -9 rational but not an integer?
No. It is rational, AND it is an integer. Integers are the numbers - positive, negative, or zero - which have no decimals.
Are square roots of positive integers rational?
Only if the integer is a perfect square.
How are integers and rationals numbers different?
All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.
