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Title: Mathematics and Numbers System
Description: The document providing important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.
Description: The document providing important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.
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MATHS
Number System Important Questions For Class 9
(Chapter 1)
Below given important Number system questions for 9th class students will
help them to get acquainted with a wide variation of questions and thus,
develop problem-solving skills
...
1: Find five rational numbers between 1 and 2
...
So, let us write the numbers with denominator 5 + 1 = 6
Thus, 6/6 = 1, 12/6 = 2
From this, we can write the five rational numbers between 6/6 and 12/6 as:
7/6, 8/6, 9/6, 10/6, 11/6
Q
...
Solution:
We have to find five rational numbers between 3/5 and 4/5
...
3: Locate √3 on the number line
...
By Pythagoras theorem,
OD = √(2 + 1) = √3
Taking O as the centre and OD as radius, draw an arc which intersects the
number line at the point Q using a compass
...
Q
...
Solution:
No, since the square root of a positive integer 16 is equal to 4
...
Q
...
Solution:
Therefore, 10/3 = 3
...
875
1/7 = 0
...
3333…
...
3333…
Now, 3
...
3333…)
Thus, 10x = 3 + x
10x – x = 3
9x = 3
x = 1/3
Therefore, 0
...
Here, 1/3 is in the form of p/q and q ≠ 0
...
7: What can the maximum number of digits be in the repeating block of
digits in the decimal expansion of 1/17? Perform the division to check your
answer
...
0588235294117647…
...
Q
...
Solution:
The given two rational numbers are 5/7 and 9/11
...
714285714…
...
81818181……
Hence, the three irrational numbers between 5/7 and 9/11 can be:
0
...
730730073000…
0
...
9: Visualise 3
...
Solution:
Visualisation of 3
...
10: Add 2√2+ 5√3 and √2 – 3√3
...
11: Simplify: (√3+√7) (√3-√7)
...
12: Rationalise the denominator of 1/[7+3√3]
...
13: Represent √(9
...
Solution:
Representation of √9
...
14: Simplify:
(i) 72/3
...
71/5
Bases are equal, so add the powers
...
= 10 (1/2 – 1/4)
= 101/4
Q
...
For example, 2 is a rational number and √3 is irrational
...
Q
...
16 X (256)0
...
25
Correct answer: Option (a)
(256)0
...
09 = (256)(0
...
09)
= (256)0
Title: Mathematics and Numbers System
Description: The document providing important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.
Description: The document providing important Number system questions for 9th class students will help them to get acquainted with a wide variation of questions and thus, develop problem-solving skills.