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Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
How do you solve an equation if you have simplified and are left with a negative variable?
the negative variable would mean the opposite of. so therefore if u have -x= 4 ur answer would be the opposite of four which is negative 4.
What are opposite numbers?
Opposite numbers are another words for negative numbers.-4 is opposite of +45,6,7,8,9, and so on
What is 6 to the negative 2nd power as a fraction?
When a number is raised to a negative exponent, it means the reciprocal of that number raised to the positive exponent. So, 6 to the negative 2nd power is equivalent to 1/(6^2), which simplifies to 1/36. Therefore, 6 to the negative 2nd power as a fraction is 1/36.
How Minus 3 multiply minus 3 9?
-3 x -3=9 A rule in pre-algebra summarizes in a problem when their is an odd amount of odd - (negative numbers) then the answer is negative, if it is even is is positive.So the problem is asking, the opposite of three times the opposite of three equals 9, so lets take one of those opposites away. The opposite of three times three equals opposite of nine. (If you haven't noticed, negative and opposite are interchangeable.) And another opposite and get the original problem, the opposite of three times the opposite of three equals 9. So the opposite of the negative nine from the first multiply, is positive nine.Example-3 x 3= -9 (1 negative)-3 x -3= 9 (2 negative, the opposite of the opposite.)Tips- It is easier to think as two - - = +,DO NOT MISTAKE THIS WITH ++=+, IT DOES NOT EQUAL A NEGATIVE.THIS ONLY WORKS WITH MULTIPLYING AND DIVIDING.(in basic math)
Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
Is the number positive if the power is negative?
It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]
True or false the opposite of a number is less than the number?
False. Apart from the fact that there is no such thing as an opposite. If, by opposite, you mean negative (additive inverse), then start with a negative number. The negative of this will be positive, and so greater. If by opposite you mean the reciprocal (multiplicative inverse), start with a positive number less than one or a negative number less than -1.
Why is negative multiply negative equal to positive?
Negative in English terms means "opposite." Multiplication can represent "of". So, negative times negative is the "opposite of the opposite." And the opposite of an opposite is the same, hence positive, because "same" is the opposite of "opposite" and positive is the opposite of negative. So if you put it into English words, it actually makes some sense. In essence, negative and negative "cancel out."
What is the formula for Perpendicular Slope?
Line a with a slope perpendicular to that of line b has a slope that is the negative reciprocal of line b's. So basically the negative reciprocal.
What is the negative reciprocal of -3?
The reciprocal of a number is 1 divide by that number - the reciprocal of -3 is 1/(-3), or -1/3. So, the negative reciprocal of -3 would be 1/3 (without the minus sign).
What is the mathematical terms for opposite of?
opposite of mean "negative" so the opposite of x is negative x or -x.
How do you solve negative integral exponents?
A negative exponent is simply the reciprocal of the positive exponent. So simply remove the negative sign and find the reciprocal. Thus, for example, 5-3 = 1/53 = 1/125
What will happen if negative is multiplied by negative?
The word "negative" really means opposite so you get a positive.
What is reciprocal of 15?
A reciprocal is the number flipped and multiplied by a negative, so 15/1 as a reciprocal is -1/15.
What is the reciprocal of negative 9?
-0.1111... The definition of reciprocal is 1/ and so you are doing the same as 1/-9. oh my gosh this is 9 years old
What is the opposite of -29?
+29
