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L11 : Locate Root x on number line - Number System, Maths, Class 9 Video Lecture

FAQs on L11 : Locate Root x on number line - Number System, Maths, Class 9 Video Lecture

1. What is the concept of locating root x on a number line?

Ans. Locating root x on a number line refers to finding the position of the square root of a given number x on a number line. It helps us visualize and understand the magnitude and position of the square root in relation to other numbers.

2. How can I locate root x on a number line?

Ans. To locate root x on a number line, first, identify the number x. Then, estimate the approximate value of the square root of x. Find the nearest whole number to the square root and mark it on the number line. Finally, determine the precise position of the square root by dividing the space between two consecutive whole numbers into equal parts.

3. Why is it important to locate root x on a number line?

Ans. Locating root x on a number line is important as it helps in understanding the relationship between numbers and their square roots. It enables us to visualize the magnitude of the square root and its position in comparison to other numbers. This knowledge is useful in various mathematical applications, such as solving equations and inequalities involving square roots.

4. Can you provide an example of locating root x on a number line?

Ans. Sure! Let's say we want to locate the square root of 9 on a number line. We estimate that the square root of 9 is 3. We mark the whole number 3 on the number line. Then, we divide the space between 3 and 4 into equal parts and determine the precise position of the square root. In this case, the square root of 9 is exactly 3, so it coincides with the point we marked.

5. How does locating root x on a number line help in solving equations?

Ans. Locating root x on a number line helps in solving equations that involve square roots. By visualizing the position of the square root on the number line, we can determine the possible values of x that satisfy the equation. It allows us to narrow down the range of possible solutions and make the solving process more efficient. Additionally, it helps in understanding the nature of the solutions and their relationship to other numbers on the number line.

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