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The opposite of a number is the number which produces the same result when the opposite or inverse operation is performed.
For addition/subtraction, the opposite is the additive inverse or negative value.
e.g. 3 - 2 = 1 and 3 + (-2) = 1
For multiplication/division, division can be done by multiplication of the inverse value.
examples:
a) 4 divided by 2, 4 / 2 = 2 and the inverse is multiplication by one half : 4 x (1/2) = 2
b) 6 divided by 2/3 is the same as 6 times the inverse, 6 x 3/2 = 18/2 = 9
What else can I help you with?
Define the concept of opposites in math?
The concept of an opposite is simple. The opposite of a number is a negative. For example, the opposite of 35 is -35.
Is the opposite of an opposite always the number you start with?
Yes, the opposite of an opposite is always the original number you started with. For example, if you take a number like +5, its opposite is -5, and the opposite of -5 is +5, which is the original number. This principle applies to all real numbers, making it a fundamental concept in mathematics.
What does a opposite mean in math?
In mathematics, the opposite of a number refers to its additive inverse, which is the value that, when added to the original number, results in zero. For example, the opposite of 5 is -5, and vice versa. This concept applies to both positive and negative numbers, as well as to variables and expressions. Essentially, the opposite of a number "flips" its sign.
How do number lines show that zero is is own opposite?
On a number line, zero is positioned at the center, with positive numbers to the right and negative numbers to the left. The concept of an opposite number means that when you add a number and its opposite, the result is zero. Since zero is neither positive nor negative, its opposite is itself; thus, adding zero to zero results in zero. This visually illustrates that zero is its own opposite on the number line.
What is opposite of piece?
The opposite concept of a piece (of something) would be the whole.
Define the concept of opposites in math?
The concept of an opposite is simple. The opposite of a number is a negative. For example, the opposite of 35 is -35.
Is the opposite of an opposite always the number you start with?
Yes, the opposite of an opposite is always the original number you started with. For example, if you take a number like +5, its opposite is -5, and the opposite of -5 is +5, which is the original number. This principle applies to all real numbers, making it a fundamental concept in mathematics.
What is the opposite of negative 14?
For any number A, the opposite of A is -A. In this case we have -A to start with.The opposite of -A is -(-A). The product of two negatives is always a positive so -(-A)=A.Using this model, the opposite of 14 is -14. Furthermore, the opposite of -14 is 14.We use this concept when we solve equations. We can add the opposite of a number to both sides.
What is opposite of 76?
The opposite of a number is its additive inverse, which means the number that, when added to it, results in a sum of zero. In this case, the opposite of 76 would be -76, as 76 + (-76) = 0. This relationship is based on the concept of symmetry around zero on the number line.
What does a opposite mean in math?
In mathematics, the opposite of a number refers to its additive inverse, which is the value that, when added to the original number, results in zero. For example, the opposite of 5 is -5, and vice versa. This concept applies to both positive and negative numbers, as well as to variables and expressions. Essentially, the opposite of a number "flips" its sign.
How do number lines show that zero is is own opposite?
On a number line, zero is positioned at the center, with positive numbers to the right and negative numbers to the left. The concept of an opposite number means that when you add a number and its opposite, the result is zero. Since zero is neither positive nor negative, its opposite is itself; thus, adding zero to zero results in zero. This visually illustrates that zero is its own opposite on the number line.
What is the opposite word for concept?
Antonyms for the word concept: being, concrete
What is the opposite of piece?
The opposite concept of a piece (of something) would be the whole.
What is opposite of piece?
The opposite concept of a piece (of something) would be the whole.
What is the opposite side of zero from a given number but at the same distance from zero?
The opposite side of zero from a given number is its additive inverse, which is obtained by changing its sign. For example, if the number is 5, the opposite side of zero would be -5, as both are equidistant from zero on the number line. Similarly, for -3, the opposite side would be +3. This concept applies to both positive and negative numbers.
Why is it that when you add any number to its opposite you get 0?
When you add any number to its opposite, you are essentially combining a value with its negation. For example, if you take a number ( x ) and its opposite ( -x ), the operation can be expressed as ( x + (-x) ). This results in a cancellation of the values, leading to a sum of zero. This property illustrates the concept of additive inverses in mathematics.
What is opposite value give example?
Opposite value refers to a value that is equal in magnitude but opposite in sign. For example, the opposite value of +5 is -5, and vice versa. This concept is often used in mathematics, particularly in operations involving integers, where the addition of a number and its opposite results in zero.
