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Division of Monomial by a Monomial Video Lecture | Mathematics for Super TET
FAQs on Division of Monomial by a Monomial Video Lecture - Mathematics for Super TET
| 1. What is division of monomial by a monomial? |  |
Ans. Division of monomial by a monomial is a mathematical operation where one monomial is divided by another monomial. It involves dividing the coefficients and subtracting the exponents of the variables.
| 2. How do you divide a monomial by a monomial? | |
Ans. To divide a monomial by a monomial, divide the coefficients and subtract the exponents of the variables. For example, if we have (3x^2) divided by (2x), we divide the coefficient 3 by 2 which gives 1. Then, we subtract the exponents, giving us x^(2-1) = x. Therefore, (3x^2) divided by (2x) is equal to 1x or simply x.
| 3. Can a monomial be divided by a monomial with different variables? | |
Ans. Yes, a monomial can be divided by a monomial with different variables. When dividing monomials with different variables, the division is still carried out by dividing the coefficients and subtracting the exponents of the variables. However, if the variables are different, the result will have a different variable or no variable at all.
| 4. What happens when the exponent of the divisor is greater than the exponent of the dividend in monomial division? | |
Ans. When the exponent of the divisor is greater than the exponent of the dividend in monomial division, the result will be 0. This is because subtracting a larger exponent from a smaller exponent will result in a negative exponent, which means that variable will no longer be present in the quotient.
| 5. Can a monomial be divided by a monomial with a zero coefficient? | |
Ans. No, a monomial cannot be divided by a monomial with a zero coefficient. Division by zero is undefined in mathematics. If the divisor has a zero coefficient, the division operation is not possible, and the result is undefined.
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