Showing posts with label Division Practice. Show all posts
Showing posts with label Division Practice. Show all posts
,

Double Division with 3 Digit Divisors 612416/983

Sunday, May 30, 2010 0 comments



Method of Vietnamese Diagram: Double the Divisor 3 Times


Method of International Diagram: Double the Divisor 3 Times

Method of Vietnamese Diagram:  Double the Divisor 5 Times
It's Easy!
Step 1 - Double, double, double.
Step 2 - Subtract off multiples.
Step 3 - Add up your answer."

Photos source: Nguyen Thi Lan Phuong, http://321math.blogspot.com
Read the full story

 

How to make Long Division with Remainders?

Friday, May 21, 2010 0 comments


When we are given a long division to do it will not always work out to a whole number.
Sometimes there will be numbers left over. These are known as remainders.

e.g: 435 ÷ 25 
4 ÷ 25 = 0 remainder 4 The first number of the dividend is divided by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 0 = 0 The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
4 – 0 = 4 Now we take away the bottom number from the top number.

Bring down the next number of the dividend.
43 ÷ 25 = 1 remainder 18 Divide this number by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 1 = 25 The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
43 – 25 = 18 Now we take away the bottom number from the top number.

Bring down the next number of the dividend.
185 ÷ 25 = 7 remainder 10 Divide this number by the divisor.

The whole number result is placed at the top. Any remainders are ignored at this point.
25 × 7 = 175 The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
185 – 175 = 10 Now we take away the bottom number from the top number.


There is still 10 left over but no more numbers to bring down.

With a long division with remainders the answer is expressed as 17 remainder 10
as shown in the diagram
Read the full story

 

,

Teaching Long Division and Double Division


"Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
 
Double Division does not depend on memorizing the multiplication facts or estimating how many times one number goes into another. It may take 50% longer, but it is far less frustrating and probably easier to understand than Long Division.
 
It's Easy!
Step 1 - Double, double, double.
Step 2 - Subtract off multiples.
Step 3 - Add up your answer."

References:
  • http://www.doubledivision.org
  •  http://en.wikipedia.org/wiki/Long_division
Read the full story