Find the four rational numbers between 1 and 2.
Answers
The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2 = 1.5
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4 = 1.25
Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8 = 1.125
Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4= 1.75
Therefore four rational numbers between 1 and 2 are 9/8, 5/4, 3/2, and 7/4
Step-by-step explanation:
Now, 4/4 is 1 and 8/4 is 2. So, if I take the numerator as 5, 6 and 7 and write the rational numbers 5/4, 6/4 (or after simplification by 2 it is 3/2) and 7/4, I will have three rational numbers between 1 and 2. I can then say (5/4, 3/2 and 7/4) are three rational numbers between 1 and 2. If you like, please use a calculator and see that all three numbers will start with 1 and equal to 1 point something:)) Including these rational numbers, if you want to find 4 other rational numbers between 1 and 2, take 1 as 5/5 and 2 as 10/5. If you want 5 more numbers, take 6/6 as 1 and 12/6 as 2.
hope it helps..