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How can you show that the product if a negative rational number and a positive rational number is negative?
To show that the product of a negative rational number and a positive rational number is negative, consider two rational numbers: ( a = -\frac{m}{n} ) (negative) and ( b = \frac{p}{q} ) (positive), where ( m, n, p, q ) are positive integers. The product ( a \times b = -\frac{m}{n} \times \frac{p}{q} = -\frac{mp}{nq} ). Since ( mp ) and ( nq ) are both positive, the result ( -\frac{mp}{nq} ) is negative, demonstrating that the product of a negative and a positive rational number is indeed negative.
What is the product of two negative and three positive numbers?
It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.
How can you find the sign of the product of two or more rational numbers?
Count the number of negative values. If that number is even, the answer is positive and if it is odd, the answer is negative.
Is the product of 33 negative numbers and 2 positive numbers a positive number or a negative number?
(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign
The product of 2 negative rational number is?
A positive number, and also rational.
How can you show that the product if a negative rational number and a positive rational number is negative?
To show that the product of a negative rational number and a positive rational number is negative, consider two rational numbers: ( a = -\frac{m}{n} ) (negative) and ( b = \frac{p}{q} ) (positive), where ( m, n, p, q ) are positive integers. The product ( a \times b = -\frac{m}{n} \times \frac{p}{q} = -\frac{mp}{nq} ). Since ( mp ) and ( nq ) are both positive, the result ( -\frac{mp}{nq} ) is negative, demonstrating that the product of a negative and a positive rational number is indeed negative.
What is the sign of the product of 47 negative numbers and three positive numbers?
Negative because product of 47 negative numbers is negative and product of three positive number is Positive , so negative*positive = Negative.
What is the product of a positive rational number and a negative rational number?
Negative. Only like x like = positive
What is the product of two negative and three positive numbers?
It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.
How can you find the sign of the product of two or more rational numbers?
Count the number of negative values. If that number is even, the answer is positive and if it is odd, the answer is negative.
The product of two numbers with different signs is always a negative?
The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.
Is the product of 33 negative numbers and 2 positive numbers a positive number or a negative number?
(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign
The product of 2 negative rational number is?
A positive number, and also rational.
Are the product of two opposite numbers positive?
No. The product of two opposite numbers is always negative. Negative x positive = negative and Positive x negative = negative
Why do numbers have both positive and negative roots?
because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.
Explain how you can find the sign of the product of two or more rational numbers?
Negative times negative equals positive. Positive times positive equals positive. Positive times negative equals negative. If you have more than two numbers, multiply the first two and then apply these rules to each successive number in turn.
Is the product of positive numbers and 7 negative numbers a positive number or a negative number?
negative
