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Why does multiplication or division with a negative number yield a negative answer?
The assertion in the question is not always true. Multiplying (or dividing) 0 by a negative number does not yields 0, not a negative answer.Leaving that blunder aside, let p and q be positive numbers so that p*q is a positive number.Thenp*q + p*(-q) = p*[q + (-q)] = p*[q - q] = p*0 = 0that is p*q + p*(-q) = 0Thus p*(-q) is the additive opposite of p*q, and so, since p*q is positive, p*(-q) must be negative.A similar argument works for division.
How do you identity the opposite and the absolute value of a rational number?
The additive opposite of the rational number q is -q. One of q and -q must be non-negative and that is its absolute value.
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.
Is negative 41 rational?
All integers and ratios between two integers are rational numbers. They are defined as p/q where p and q are integers and q is not 0. Therefore -41 is a rational number (and a negative integer as well).
How many excess electrons are on the negative cork?
q = Ne N = q/e Where: q = charge that can move N = number of electrons gained or lost e = elementary charge (1.602x10^-19)
Is it true if p is an integer and q is a nonzero integer?
Yes, it is true that if ( p ) is an integer and ( q ) is a nonzero integer, then ( p ) can take any whole number value, including positive, negative, or zero, while ( q ) cannot be zero and must be a whole number either positive or negative. This distinction is important in mathematical contexts where division by zero is undefined.
What is the sum of a number and 23 is twenty?
you have to write an algebraic expression. your number can be any thing you want... lets call it (q) the sum means you add the numbers. so... q + 23 the word (IS) in algebra means equal to so... q + 23 = 20 so what number added to 23 will equal to 20 the answer is negative 3 q=-3
What is the symbol for a negative charge?
Charge is charge, q. If you want it negative just add "-" by its value; some use -q to represent negative charges, too.
Why set of rational number is denoted by q?
In number systems Rational number is not represented just by q . they are represented in the form of p and q . P/q is rational number where q is not equal to zero.
What Is the number for q 97.9?
What's the number for Q 97.8
How do you identify the opposite and the absolute values of a rational numbers?
An "opposite" is not a well defined term since there are additive opposites and multiplicative opposites and you have not specified which one.The absolute value of a rational number is the value of the number with a positive sign.Thus (abs(5/7) = 5/7and abs(-5/7) = 5/7
What is negative 17 plus q over 8 equals 13?
An equation where q = 240
