Classify each number as real, rational , whole, irrational, counting and integer. Please give your reason

Question

a. ¾

b. -12/3

c. 0. 345345345

d. -0.6473490424

Answer 1

a) 3/4 is rational.  Rational numbers are numbers that can be expressed as a ration of integers.  Both 3 and 4 are integers, and 3/4 is a ration of integers

 

b) -12/3 = -4 ... this is rational (same reason as in "a").  It is also an integer.  Integers are the positive and negative whole numbers, and 0 ... since -12/3 simplifies to -4, and i4 is an integer.

 

c) 0.345345345 ... this is a rational number.  Repeating decimals can be written as ratios of integers.

 

d) -0.6473490424 ... this is not a repeating decimal, and looks like it is not a terminating decimal either.  Therefore it is irrational.  Irrational numbers are numbers which cannot be expressed as a ratio of integers