1. Express the following numbers in the form of p/q
(a) -25.6875
(b) 0.621621621..
(c) 15.712121212..
2. Write five rational number between 0.515115111…. and 0.535335333….
3. Find four rational numbers between 3/5 and 4/5.
4. Find two irrational numbers lying between √2and√3.
5. Find two rational and irrational numbers between 0.3101and 0.3222
6. Write one example each of two irrational numbers whose:
a) Sum is a rational number
b) Product is an irrational number
c) Difference is an irrational number
d) Quotient is a rational number
7. If x= 3 + √8, then find the value
2 +
1
2
8. Find the value of a & b if
7−4√3
7+4√3
= + √3
9. Find the value of x if 2
x-7
x 5x-4
=1250
10. Simplify and express the result in the simplest form :
11. .
(25)3/2 x (243)2/5
(16)5/4 x (8)4/3
Answers
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Answer:
Correct option is
A
1
Here, we need to find two rational Numbers lying between 0.51511511151111... and 0.53533....
We know that,
Between any two real numbers, there are infinitely many real numbers either rational or irrational.
Irrational Numbers are non-terminating non repeating decimals, while rational numbers are terminating and non terminating repeating decimals.
On Number line
REF. IMAGE
We can clearly say that 0.5152 come after 0.51511.. and 0.532 come before 0.535335333...
Therefore,
0.5152 and 0.532 are two rational Numbers as they are terminating decimals, which lie in between the given irrational Numbers.mark me as brainliest
Step-by-step explanation:
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