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Q1- Are All rational no. Real no.?
Q2- Are all real no. Integer ?
Q3- Are all integers rational no. ?
Make it clear
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Answers
Answer:
1.YES,all rational no. are real numbers . As real numbers are a collection of rational no.s,integers etc.
2.NO, all real no.s are not integers as real number consist of fractions which are not considered as integers.
3.YES, all integers are rational no.s as all of them can be expressed in the form of p/q where p and q are integers and q not equal to 0
HEY MATE YOUR ANSWER IS HERE....
ANS 1) YES
REASON-
REAL NUMBERS ARE THOSE NUMBER WHICH CAN BE REPRESENTED IN NUMBER LINE AND RATIONAL ARE THOSE WHICH ARE IN FORM OF P/q AND ALL REAL NUMBERS ARE IN FORM OF P/q HENCE ALL RATIONAL NUMBERS ARE REAL NUMBERS
ANS 2) NO
REASON-
INTEGERS ARE THOSE NUMBERS WHICH REPRESENTS WHOLE NUMBER SUCH AS 3,4,5 BUT NOT 3.5,4.5,6.5
WHEREAS REAL NUMBER ARE THOSE WHICH CAN BE REPRESENTED IN NO LINE AND THUS ALL REAL NUMBERS ARE NOT INTEGERS
EX- 3.5 IS A REAL NUMBER BUT NOT A INTEGER.....
SO ALL INTEGERS CAN BE REAL NUMBER BUT ALL REAL NUMBERS ARE NOT INTEGERS
ANS 3) YES
REASON-
REAL NUMBERS ARE THOSE NUMBERS WHICH CAN BE REPRESENTED IN LINE AND INTEGERS ARE THOSE NUMBERS WHICH SRE WHOLE NUMBERS SUCH AS 3,4,5 AND THUS THEY NUMBERS CAN BE REPRESENTED IN NUMBER LINE THUS ALL INTEGERS ARE REAL NUMBERS..