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Finding the Value of an Expression Video Lecture | Mathematics (Maths) Class 7

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FAQs on Finding the Value of an Expression Video Lecture - Mathematics (Maths) Class 7

1. What is the value of the expression 5 + 3 × 2?
Ans. The value of the expression 5 + 3 × 2 is 11. According to the order of operations, multiplication should be done before addition. So, 3 × 2 equals 6, and then adding 5 to 6 gives us the final answer of 11.
2. How do I find the value of an expression with variables?
Ans. To find the value of an expression with variables, you need to substitute the given values for the variables and then perform the required operations. For example, if the expression is 2x + 3y and x = 4, y = 5, then you substitute these values into the expression: 2(4) + 3(5). After performing the operations, you will get the value of the expression.
3. Can the value of an expression change if the order of operations is changed?
Ans. Yes, the value of an expression can change if the order of operations is changed. The order of operations (PEMDAS/BODMAS) is a set of rules that dictate the sequence in which mathematical operations should be performed. If these rules are not followed correctly, the result can be different. For example, consider the expression 5 + 3 × 2. If you change the order and perform addition before multiplication, the value becomes 5 + (3 × 2) = 5 + 6 = 11, which is different from the correct value of 5 + (3 × 2) = 5 + 6 = 17.
4. How do brackets affect the value of an expression?
Ans. Brackets have a significant impact on the value of an expression. They indicate that the operations within the brackets should be performed first. For example, in the expression 3 + (4 × 5), the brackets indicate that the multiplication should be done before addition. So, 4 × 5 equals 20, and then adding 3 to 20 gives us the final value of 23. Without the brackets, the expression would be evaluated as 3 + 4 × 5, where multiplication is done before addition, resulting in a different value of 3 + 20 = 23.
5. Can a single expression have multiple correct values?
Ans. No, a single expression cannot have multiple correct values if the order of operations is followed correctly. The order of operations ensures a unique and consistent result for any given expression. However, if the expression includes variables and their values are not specified, then the expression can have different values depending on the assigned values to the variables. In such cases, the expression is considered to be an algebraic expression and can have different values based on the assigned values of the variables.
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