Whole numbers and integers are rational.
because the # line shows the rational #'s in order from least to greatest
no # all numbers are real #'s
You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)
That 's not possible since irrational numbers have infinity digits. All whole numbers are rational.
Whole numbers and integers are rational.
If the two rational numbers are expressed as p/q and r/s, then their sum is (ps + rq)/(qs)
because the # line shows the rational #'s in order from least to greatest
p/q * r/s = (p*r)/(q*s)
Decimal numbers
no # all numbers are real #'s
A rational number is a number which can be expressed in the form p/q where p and q are integers and p>0.If p/q and r/s are two rational numbers then(p/q)*(r/s) = (p*r)/(q*s).You may need to check that this fraction is in its lowest (simplest) form.
Roy Leonard Brown has written: 'Ration--a rational arithmetic package' -- subject(s): Factors (Algebra), Prime Numbers, RATION, Rational Numbers
You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)
A rational number is a number of the form p/q where p and q are integers and q > 0.If p/q and r/s are two rational numbers thenp/q + r/s = (p*s + q*r) / (q*r)andp/q - r/s = (p*s - q*r) / (q*r)The answers may need simplification.
That 's not possible since irrational numbers have infinity digits. All whole numbers are rational.
Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs. Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer. q and s are non-zero integers and so qs is a non-zero integer. Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.