DIVISION ALGORITHM
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
After having gone through the stuff given above, we hope that the students would have understood how to solve problems using division algorithm.
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WORD PROBLEMS
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Converting customary units word problems
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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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