Multiply the monomial -5/7 p^2, 7/25 pq , -5/8 q^2
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Answer:
Chapter 1
1. Chapter I Review topics in Algebra 1 1
2. 2 1.Set of real numbers The word algebra originated from the Arabic word “al-jabr” which means the science of reduction and cancellation. The algebraic symbolism used to generalize the operatiob of arithmetic was formulate in the sixteenth and seventeenth centuries. Real number set of rational numbers and the set of irrational numbers make up. It consists of the set of real numbers and two operations called addition and multiplication. Addiotion is denoted by the symbol “+” and multiplication is denoted by the symbol “x” or “”. If a nd b are real numbers, a+b denotes the sum of a and b, and ab or (ab) denotes their products. If the numbers are repeating or terminating decimal they called rational number. The square roots of perfect squares also name rational number. Examples: 1) √0.16 2) 0.666 3) 1 3 4) 10 9 5) 9 6
3. If the numbers are not repeating or terminating decimals. They called irrational number. 3 For examples: 1) π 2) √2 3) 0.61351 4) √8 5) √11 Properties of real numbers Let us denote the set of real numbers by 푅. These properties are statement derived from the basic axioms of the real numbers system. Axioms are assumptions on operation with numbers. Axioms of Equality Let a, b, c, d ∈ R 1. Reflexive Law If a=a 2. Symmetric Law If b=c then c=b 3. Transitive Law If b=c and c=d then b=d 4. Additional Law of Equality If a=b then a+c=b+c 5. Multiplication Law of Equality If a=b then a.c=b.c Axioms for Addition and Multiplication Let a, b, c, d, ∈ R 1) A. Closure property for addition a+b ∈ R Examples: 1) 3+3=6 2) 7+(-4)=3 3) -8+4=-4 B. Closure property for multiplication a.b ∈ R Examples: 1) 3(7)=21 2) -8(3)=-24 3) 0.11=0
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Answer:
DIVISION ALGORITHM : For any two positive Integers a & b ,there exist two unique whole numbers q & r , such that. a = bq+r. ...
Dividend =( Divisor × quotient) + remainder.
SOLUTION : Divide 53968 by 267. ...
Dividend =( Divisor × quotient) + remainder. 53968 = (267× 202) + 34. ...
53968 = 53968.