The last step is to adjust each sum that way that the value > 9 is transfered as "too much" to the next sum. Starting at the bottom right of the matrix we sum up each digit of same diagonal. When each cell is filled - looking at the diagonals - you can see that - more or less - at the top right of a cell and at the bottom left the diagonal can be continued when there is a further cell. Multiplicating the column digit with the row digit the result will be splitted like this: 9 x 8 = 72 -> 7 will written above the diagonal and 2 will be written below the diagonal. This app also does not contain any links to other apps or the web.""" lattice.py multiplication of two numbers """ def lattice ( valueA, valueB ): """ the lattice calculation bases on a matrix writing the digits of the first value as column headers and writing the digits of the second value as row labels. This app has no ads or in-app purchases and it does not transmit any data during the operation of the app. New ideas to make this app better are welcome. Some of the other 40 iDevBooks math apps are Column Addition, Long Multiplication, Long Division, Column Subtraction, Visual Multiplication Table, Partial Differences Subtraction, Partial Quotients Division, Partial Sums Addition, Decimal Rounding, etc. IDevBooks math apps have been reviewed and endorsed by, ,, Teachers with Apps, and other respected sites and organizations. There are 3 different themes: black, gray and gold The operands for the current operation can be highlighted The current operation for each step can be hidden The multiplicand can have up to 5 digits If the user presses the wrong button the answer will appear above the keyboard but it will not move. The correct answer will fly to the right place. In the steps the user will multiply or add. The Lattice Multiplication app allows the user to solve a lattice multiplication problem step by step and animates all the steps. Fibonacci presented both the current standard long multiplication and also an originally Indian method called lattice multiplication, which is faster and more compact for working with larger numbers. Ancient Indians and Chinese originally invented some of the algorithms. In this groundbreaking book Fibonacci presented many algorithms for working with Arabic numerals. The method was introduced to Europe in 1202 in Fibonacci's Liber Abaci.
All the multiplications are done first and then the additions. A lattice (a grid) guides the calculation. Lattice multiplication is algorithmically equivalent to long multiplication. I am so glad to have come across this great educational tool!" Being able to adjust the level of difficulty to suit their needs is also very motivating for the students. They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice. "The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary. Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada: It makes multiplying large numbers easier, and allows you to see it all visually" "This was one form of multiplication that I’d never done before, but the app taught me very clearly. The user can solve custom and random multiplication problems with small and large numbers. The app is very easy to use and it has an intuitive interface with customizable colors and other settings. Solving lattice multiplication problems is also excellent times tables practice. This app can be used to teach and study the ancient lattice multiplication method.
0 kommentar(er)
