9th class science group Math Ch no .1 Exercise no 1.5 Question no.3 complete
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- Опубліковано 12 чер 2024
- 9th class science group Math Ch no .1 Exercise no 1.5 Question no .3 complete..... #MultiplicationInverse
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- multiplication inverse:
Multiplication Inverse:
The multiplication inverse, also known as the reciprocal, is a value that, when multiplied by a given number, results in 1.
Definition:
For a number x, its multiplication inverse is denoted as x^-1 or 1/x, and is defined as:
x × x^-1 = 1
Example:
The multiplication inverse of 2 is 1/2, because:
2 × 1/2 = 1
Properties:
- The multiplication inverse of a number is unique.
- The multiplication inverse of 1 is 1.
- The multiplication inverse of -1 is -1.
- The multiplication inverse of a product is the product of the inverses.
Applications:
- Solving linear equations
- Finding the inverse of a matrix
- Calculating the determinant
- Dividing fractions
Notation:
- x^-1 or 1/x represents the multiplication inverse of x.
the definition, properties, and applications of the multiplication inverse, providing a clear understanding of this important mathematical concept.
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