Question #c3b3b

2 Answers
Sep 27, 2017

Any rational number will satisfy this requirement: 7, 1, -5, 450, .33335332, .93, -6002, 0, 18,000,000,000, and many, many others.

Explanation:

.53 is rational. A rational number added to a rational number always produces a rational number.

Sep 27, 2017

See explanation

Explanation:

Quote from Penguin Dictionary of Mathematics.

"A real number that is either an integer or can be written as a quotient of two integers."

So we are talking about:

Whole numbers -> can be expressed using the denominator of 1 #color(white)("ddddddddddddd")7=7/1# so meets the criteria of form #a/b#

Fractions

Decimal that are repeating or terminating#->#can be converted to #color(white)("ddddddddddddddddddddddddddddddddd")#fraction form.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#0.53# is terminating thus rational #->53/100#

You may choose any other rational number as:

rational number + rational number = rational number