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Matt Carrino. Long Division for Fourth-Grade Math. What is long division?. Process of division Divisor is usually a large number Each step of the division is written out. When is long division needed?. Either the divisor or the dividend contain 2 digits or more
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Matt Carrino Long Division for Fourth-Grade Math
What is long division? • Process of division • Divisor is usually a large number • Each step of the division is written out
When is long division needed? • Either the divisor or the dividend contain 2 digits or more • You cannot figure out the problem in your head • Answers cannot be found in your times tables
Problems that do not need long division • Problems that can be found in your times tables • Easy enough to figure out in your head • Problems we either learned or similar ones to those
10 / 5 = ? 81 / 9 = ? 4 / 2 = ? 2 9 2 For example…
Problems that need long division… • Are more complicated than those problems • Usually have divisors and dividends of 2 digits or more • Require you to learn from this presentation!
For example… • 2222 / 11 • 240 / 4 • 999 / 3
Can you figure out those problems in your head? • You would need a calculator … • unless, you took the steps in the following slides in order to solve the problems
To Begin Long Division • Take the first digit of the dividend, and see if it is divisible by 25. • 4 / 25 • 4 is not divisible by 25 • So, place a 0 above the 4
To Begin Long Division • Multiply the answer by the divisor.. Put result under number divided into • Subtract the bottom number from the top number
To Begin Long Division • Bring down the next number of the dividend. • Divide this number by the divisor.
The Process of Long Division • 25 goes into 42 one time. Put that number at the top. • Now, multiply that 1 by 25 and put it under 42.
The Process of Long Division • To get remainder, subtract bottom from top • Bring down the next number of the dividend.
Now, divide 175 by 25, the same way we have been doing ____ 25) 175 25 / 1 = 0, so 0 ___ 25)175 25 / 7 =0, so 00 ___ 25)175 We are left with 175 /25 The Process of Long Division
The Process of Long Division • 175 /25. How many times does 25 go into 175? • 25 * 7 = 175, so • 7 ___ 25)175 175 --- 0
The Process of Long Division • 7 is our answer to this part of the process: • So,
The Process of Long Division • Now, take your answer and multiply by the divisor. Put the result under the number divided into.
The Process of Long Division • Subtract the bottom number from the top number
The Process of Long Division • There are no more answers to bring down, so our answer is…… 17!!!!!!!!
Bibliography • Long Division. (2004). Math is Fun. Retrieved December 4, 2004, from http://www.mathsisfun.com/long_division.html • Long Division. (2001). Homo Excelsior. Retrieved December 4, 2004, from http://www.homoexcelsior.com/omega.db/datum /mathematics/long_division/6729