DIVISION ALGORITHM
When we divide a number by another number, the division algorithm is, the sum of product of quotient & divisor and the remainder is equal to dividend.
More clearly,
Dividend = Quotient x Divisor + Remainder
When we divide a number by another number, we will have the terms dividend, divisor, quotient and remainder.
The number which we divide is called the dividend.
The number by which we divide is called the divisor.
The result obtained is called the quotient.
The number left over is called the remainder.
More clearly,
Division Algorithm
Solving Problems using Division Algorithm
Problem 1 :
Divide 300 by 7, list out dividend, divisor, quotient, remainder and write division algorithm.
Solution :
Let us divide 300 by 7 using long division as given below.
From the above long division, we have
Dividend = 300
Divisor = 7
Quotient = 42
Remainder = 6
Division algorithm for the above division :
Problem 2 :
Divide 258 by 9, list out dividend, divisor, quotient, remainder and write division algorithm.
Solution :
As we have seen in problem 1, if we divide 258 by 9 using long division, we get
Dividend = 258
Divisor = 9
Quotient = 28
Remainder = 6
Division algorithm for the above division is
258 = 28x9 + 6
Problem 3 :
Divide 400 by 8, list out dividend, divisor, quotient, remainder and write division algorithm.
Solution :
As we have seen in problem 1, if we divide 400 by 8 using long division, we get
Dividend = 400
Divisor = 8
Quotient = 50
Remainder = 0
Division algorithm for the above division is
400 = 50x8 + 0
Problem 4 :
Divide 1675 by 13, list out dividend, divisor, quotient, remainder and write division algorithm.
Solution :
As we have seen in problem 1, if we divide 1675 by 13 using long division, we get
Dividend = 1675
Divisor = 13
Quotient = 128
Remainder = 11
Division algorithm for the above division is
1675 = 128x13 + 11
Problem 5 :
Divide 750 by 16, list out dividend, divisor, quotient, remainder and write division algorithm.
Solution :
As we have seen in problem 1, if we divide 750 by 16 using long division, we get
Dividend = 750
Divisor = 16
Quotient = 46
Remainder = 14
Division-algorithm for the above division is
750 = 46x16 + 14
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WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
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