Rational number revision
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Rational numbers are numbers that can be written as fractions p/q, where p and q are integers and q is not equal to 0. Rational numbers are represented by the capital letter Q, which comes from the Italian word "quoziente" meaning quotient. Rational numbers are closed under the operations of addition, subtraction, and multiplication, meaning the result of these operations on rational numbers will always be rational. However, rational numbers are not closed under division, as division can sometimes result in irrational numbers. Rational numbers also follow the commutative properties of addition and multiplication.
Rational number revision
- 1. REVISION
- 4. Def:- Rational numbers :- The numbers are of the form i)p/q form ii)p,q £ Z iii)q≠ 0 Rational numbers are indicated by capital “ Q” (QUOZIENTE---ITALIAN---QUOTIENT)
- 5. CLOSURE PROPERTY:-If a , b are any two rational numbers then they are under 1. ADDITION a+b€Q--------- CLOSED 2. SUBTRACTION a-b€Q ---------CLOSED 3. MULTIPLICATION axb€Q---------CLOSED 4. DIVISION a÷bɆQ -------- CLOSED
- 6. If a , b are any two rational numbers then they are under 1. ADDITION a+b=b+a-------- TRUE 2. SUBTRACTION a-b≠b-a ---------- - FALSE 3. MULTIPLICATION axb=bxa------------TRUE 4. DIVISION a÷b ≠ b÷a ------------FALSE
- 7. The rational number which is neither positive nor negative ? ANSWER:- “ 0” Rational numbers are closed under which mathematical operations? ANSWER:- ADDITION , SUBTRACTION, MULTIPLICATION Rational numbers are closed not under which mathematical operations ANSWER:- DIVISION Rational numbers satisfies commutative property under which mathematical operation? ANSWER :- ADDITION, MULTIPLICATION Rational numbers are indicated by which letter? ANSWER:- CAPITAL “ Q” The word “ quoziente” is derived from which language? ANSWER:- ITALIAN