Students can Download Class 9 Maths Chapter 1 Number Systems Ex 1.4 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 9 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.
Karnataka State Syllabus Class 9 Maths Chapter 1 Number Systems Ex 1.4
Question 1.
Visualise 3.765 on the number line, using successive magnification.
Answer:
Visualization of 3.765 on the number line:
We know that 3.765 lies between 3 and 4. So, divide the portion between 3 and 4 into 10 equal parts and look at the portion between 3.7 and 3.8 through a magnifying glass. Then, 3.765 lies between 3.7 and 3.8 [Fig(i)]. Now, we imagine dividing this again into 10 equal parts. The first mark will represent 3.71, the next 3.72, and so on. To see this clearly, we magnify this as shown [Fig (ii)].
Then, 3.765 lies between 3.76 and 3.77 [Fig(ii]. So, let us focus on this portion of the number line [Fig(iii)] and imagine to divide it again into 10 equal pans [Fg(iii)]. Here, we can visualize the 3.761 is the first mark, 3.762 is the second mark, and so on.
Question 2.
Visualise \(4 . \overline{26}\) on the number line, up to 4 decimal places.
Answer:
Visulaisation of \(4 . \overline{26}\) upto 4 decimal places on number line :
Since \(4 . \overline{26}\) is located between 4 and 5. so divide it into 10 equal parts[Fig(i)]. In further, we locate \(4 . \overline{26}\) between 4.2 and 4.3 [Fig(ii)].
To get more accurate visualisation of the representation, we divide this portion into 10 equal parts and use a magnifying glass to visualise that \(4 . \overline{26}\) lies between 4.26 and 4.27.
To visualise more clearly, we divide again portion between 4.26 and 4.27 into 10 equal parts and visualize the representation of \(4 . \overline{26}\) between 4.262 and 4.263 [Fig(iii)].
Now, for a much better visualization between 4.262 and 4.263, again divide it into 10 equal parts [Fig(iv)].
Notice that \(4 . \overline{26}\) is located closer to 4.263 than rn 4.262. We can adopt the process endlessly in this manner and simultaneously imagine the decrease in the length of the number line, in which \(4 . \overline{26}\) is located.