Remember that we write the tens of each answer on the left of the diagonal in each box and the units of each answer on the right of the diagonal. We write the answer to each multiplication in the corresponding square. Next, we multiply each of the digits of 56 by each of the digits of 35. We write each digit in line with the boxes. We begin by arranging the digits of 56 and 35 as shown in the image below with one number written on the top of the lattice and the other number written on the right of the lattice. Lattice Multiplication Example 2: 56 x 35 The digits that we have are: 1, 4, 7 and 0. Once we have found the total of each diagonal, we now read the digits from left to right. So, we write ‘0’ below.Ģ) In the next diagonal, we have zero, one and six.ģ) In the next diagonal, we have two, two and zero.Ĥ) In the final diagonal, we have one. We add the numbers in each diagonal starting with the bottom right diagonal and moving left.ġ) In the first diagonal, we have just zero. Once we have multiplied all of the digits and filled every box in the grid, we add the digits that are in each diagonal. This is so that we know that we have worked out this multiplication already, whereas if we left a blank space, we might think that we have made a mistake or missed it out by mistake. Notice that when we multiplied 2 x 3 to make 6, we still wrote a ‘0’ to the left of the diagonal line. Next, we multiply each of the digits of 42 by each of the digits of 35. ![]() We begin by arranging the digits of 42 and 35 as shown in the image below, one number written on the top of the grid and the other number written on the right of the grid. Lattice Multiplication Example 1: 42 x 35 We can use this lattice structure to help us to multiply two 2-digit numbers. This is how we represent the number 12 in a lattice. If there are no tens in the answer, we write a zero to the left of the diagonal. So in this example, we write ‘1’ in the green shaded triangle shown. We always write any tens of the answer in to the top left of the diagonal. So, we write ‘2’ in the orange shaded triangle. We always write the units (or ones) of the answer to the bottom right of the diagonal line. We then draw a diagonal line from the top right corner to the opposite corner in the bottom left. We will consider the example of ‘3 x 4’ using lattice multiplication and we begin by drawing a square. We will introduce lattice multiplication by looking at a simple example to understand how to lay out the working out. Lattice multiplication is used to work out the multiplication of larger numbers. Going to try to understand why this worked.Lattice multiplication is an alternative multiplication method to long multiplication or the grid method. Problem in a nice, neat and clean area like thatĪnd we got our answer. Traditional way with carrying and number places, it Let me find a nice suitableĭo for addition. We're done all ofīrains into addition mode. I think you get the ideaĪnd than we have just one, two more diagonals. Row for the 8, and one row for this other 7. ![]() And then each one of theseĬharacters got their own row. ![]() ![]() Just to show that this'll work for any problem. Have a 1 in your 1,000's place just like that. Place and you carry the 1 into your 1,000's place. The 100's place because this isn't just 19, it'sĪctually 190. In the 10's place and now you carry the 1 in 19 up there into Is really the 1's diagonal, you just have a 6 sitting here. So what you do is you goĭown these diagonals that I drew here. So you write down a 2 andĪn 8 just like that. Next video why these diagonals even work. Although there is carrying,īut it's all while you're doing the addition step. Switching gears by carrying and all of that. One time and then you can finish up the problem Multiplication is you get to do all of your multiplication at Own row and the 8 is going to get its own row. Right-hand side, and then you draw a lattice. Get separate columns and you write your 48 down the Of lattice multiplication examples in this video.
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