Take any irrational number - e.g., square root of 2, cubic root of 5, pi, e, etc. - and divide it by an integer (1) that is large enough, so that the result is smaller than the difference (which in this 0.2). Add that to 7.7.Note 1: Actually, any rational number will do here.
Consider
7.700000000000000000000001
7.7000000000000000000000011
7.7000000000000000000000012
7.7000000000000000000000013
7.700000000002
and so on.
Similarly, between any two of these there are infinitely many rational numbers.
7.8
Rational, 7.7 is 7 7/10, or 77/10.
77 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
78 - 89 are the numbers that come between 77 and 90.
65.5
A rational number is one that can be expressed as a ratio or a fraction: 1:5, 2/7, 23/77. An irrational number cannot. If you can write it as a decimal which ends or repeats, it is rational. Typical irrational numbers are things like pi (3.1415926535...), e (2.71828...), and most square roots (root 2 = 1.4142...).
Rational, 7.7 is 7 7/10, or 77/10.
Which two integers is the irrational number √77 between?
It can be written as a fraction, so it is rational.
Irrational
77 is not a perfect square. Another way to look at it is this (use a calculator) sqrt(77) ~= 8.774964387 Notice how there is no point where the numbers begin to repeat themselves (e.g., 1.222322232223) Both reasons tell us that sqrt(77) is an irrational number. ----------- Yes - the square roots of all non-perfect square integers (ie the numbers which are 1², 2², 3², ...) are irrational.
77 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
the real numbers between 66 and 77 are (66,67,68,69,70,71,72,73,74,75,76,77)
78 - 89 are the numbers that come between 77 and 90.
65.5
Nothing can fall "between 77". 77 is one number; you need an interval for any numbers to fall BETWEEN.
77 77/3=25r2 77/5=15r2 77/7=11r0
77