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What is Additive Identity and Multiplicative Identity? Video Lecture | Advance Learner Course: Mathematics (Maths) Class 5

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FAQs on What is Additive Identity and Multiplicative Identity? Video Lecture - Advance Learner Course: Mathematics (Maths) Class 5

1. What is additive identity?
Ans. Additive identity refers to the number that, when added to any other number, leaves the other number unchanged. In other words, it is the number that does not affect the result of an addition operation. For example, in the case of real numbers, the additive identity is 0 because adding 0 to any number does not change the value of that number.
2. What is multiplicative identity?
Ans. Multiplicative identity refers to the number that, when multiplied by any other number, leaves the other number unchanged. It is the number that does not affect the result of a multiplication operation. In the case of real numbers, the multiplicative identity is 1 because multiplying any number by 1 does not change the value of that number.
3. How does additive identity work in algebraic expressions?
Ans. In algebraic expressions, the additive identity is used to simplify and solve equations. When an algebraic expression contains variables, the additive identity allows us to add or subtract terms without changing the overall value of the expression. By adding or subtracting 0, which acts as the additive identity, we can manipulate and simplify expressions to solve for unknown variables.
4. Can the additive identity be applied to any mathematical operation?
Ans. The additive identity, which is 0, is specifically defined for addition operations. It represents the neutral element for addition. However, it cannot be applied to other mathematical operations such as multiplication, division, or exponentiation. These operations have their own respective identities, such as the multiplicative identity for multiplication.
5. What is the significance of the multiplicative identity in solving equations?
Ans. The multiplicative identity plays a crucial role in solving equations, particularly when dealing with variables. By multiplying both sides of an equation by the multiplicative identity, which is 1, we maintain the equality of the equation while simplifying the expression. This allows us to isolate the variable and find its value. The multiplicative identity ensures that the equation remains balanced throughout the solving process.
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