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What is meant by an Equation? Video Lecture | Mathematics (Maths) Class 7 (Old NCERT)
FAQs on What is meant by an Equation? Video Lecture - Mathematics (Maths) Class 7 (Old NCERT)
| 1. What is an equation? |  |
An equation is a mathematical statement that shows the equality between two expressions. It consists of an equal sign (=) between the two expressions, with variables or unknowns represented by symbols. The goal of solving an equation is to find the value of the variable that makes the equation true.
| 2. How is an equation different from an expression? | |
An equation represents a balance or equality between two expressions, while an expression is a combination of numbers, variables, and mathematical operations. An expression does not have an equal sign (=) and does not show an equality or relationship between two quantities. In contrast, an equation states that the two expressions on either side of the equal sign are equal.
| 3. What are the different types of equations? | |
There are various types of equations, including linear equations, quadratic equations, exponential equations, and trigonometric equations. Linear equations involve variables raised to the first power, quadratic equations involve variables raised to the second power, exponential equations involve variables as exponents, and trigonometric equations involve trigonometric functions.
| 4. How do you solve an equation? | |
To solve an equation, you aim to find the value(s) of the variable(s) that make the equation true. The process usually involves performing the same operations on both sides of the equation to isolate the variable. These operations may include addition, subtraction, multiplication, division, and simplification. By applying these operations systematically, you can eventually obtain the solution(s) for the variable(s).
| 5. Why are equations important in mathematics? | |
Equations play a fundamental role in mathematics as they help us describe and understand relationships between quantities. They are used to solve real-life problems, model physical phenomena, and analyze patterns and trends. Equations provide a systematic way to express mathematical ideas and enable mathematicians, scientists, and engineers to make predictions, solve complex problems, and develop new theories and technologies. Understanding equations is essential for building a strong foundation in mathematics.
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