solve it step by step. Q 1 to 10
Answers
Answer:
1. 3/40= 0.075
2. A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.
Then, 3 < 7/2 < 4
A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)
= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4
A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)
= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4
Therefore, 3 < 13/4 < 7/2 < 15/4 < 4
Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4
from options it is 7/2
3.3/5&4/5
multiply both fraction by 6
3×6/5×6 =18/30
4×6/5×6 =24/30
the numbers between 18/30 or 3/5 and 24/30 or 4/5 = 19/30,20/30,21/30,22/30,23/30
4. Given rationals numbers are, 1/2 & 3/4
We know that, Between two given rational numbers, there exists infinite number of rational numbers. We are required to find out 3 such.
Changing to equivalent fractions.
1/2 = 12/24
3/4 = 18/24
We changed the rationals to have equal denominators.
So now rational numbers between 12/24 & 18/24 would be rational numbers between 1/2, 3/4 ( Because they are equivalent fractions 1/2 = 12/24, 3/4 = 18/24)
Now, Rationals between 1/2 & 3/4 are
13/24
14/24
15/24
16/24
17/24
5. root 2 is not a rational number.
6. 3 root8 is an irrational number
7. 1/5=0.2
8. 3 3/8= 27/8=3.375
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9. 0.8333= 0.83 = option a
10. 0.29629629629 = option a
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