To create this article, 119 people, some anonymous, worked to edit and improve it over time. This article explains the process for doing long multiplication following the column multiplication method used in primary schools at KS2. We know ads can be annoying, but they’re what allow us to make all of wikiHow available for free. Method 2: standard long multiplication Write down the large number above the smaller number. What can I do if I am confused by all of the zeroes on the end of the numbers? Long multiplication extends tables work so that numbers bigger than 10 can be multiplied without using a calculator. To learn how to write out a long multiplication problem by hand, keep reading! The method breaks down a multiplication problem into a series of easier steps. To do long multiplication quickly, start by splitting up the tens and ones place in the smaller number. If a positional numeral system is used, a natural way of multiplying numbers is taught in schools as long multiplication, sometimes called grade-school multiplication, sometimes called Standard Algorithm : multiply the multiplicand by each digit of the multiplier and then add up all the properly shifted results. There are a number of ways to do this. Long Multiplication: The Method. Long multiplication is a standard algorithm or traditional approach that includes the product of numbers and alignment of output as per the place value. We are asked to multiply a 3-digit number, 287, by a 2-digit number, 35, using the long multiplication method. In the work, the calculator supplies a zero value in place values where the shift step happens. This math worksheet was created on 2016-08-31 and has been viewed 1,436 times this week and 4,940 times this month. There are a variety of strategies for completing long multiplication including the classic paper and pencil methods, lattice multiplication (which we feature on this page), mental strategies, manipulative use, technology, and various other paper and pencil algorithms. Long multiplication is multiplying a number with two or more digits by a two-digit number, e.g. Complete the multiplication by performing addition! We are asked to calculate 84 x 57. 4 x 7 = 28 But let's not get ahead of ourselves. Long multiplication is a method used to solve multiplication problems with large numbers. If you really can’t stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. Long Multiplication is a special method for multiplying larger numbers. Set aside first the zeros (but remember how many there are). These Partial product multiplication worksheets and Area model multiplication examples and test are gives to make kids more successful in complex multiplication. It is usually used in Year 5 and Year 6 once children have got the hang of using the grid method. wikiHow is a “wiki,” similar to Wikipedia, which means that many of our articles are co-written by multiple authors. How do I multiply a long decimal number by a shorter one? – Establishing prior multiplication knowledge. Make sure you get your numbers in the right columns! Welcome to The Multiplying 3-Digit by 2-Digit Numbers (A) Math Worksheet from the Long Multiplication Worksheets Page at Math-Drills.com. This is aimed at year 4/5/6. How do I do the checking in a multiplication process? We use cookies to make wikiHow great. It's more concise, and doesn't require you to seemingly add zeros arbitrarily. Thanks to all authors for creating a page that has been read 1,828,450 times. Oh. You will know to carry the number over if it is a two digit number. It's offered in the hope that some students might find in it an explanation of the first method. Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top … This method is very versatile and can handle decimals as well as whole numbers. To do the method, begin by writing the two numbers you want to multiply at the top of two columns. If you take it step by step, though, you'll be able to do long multiplication in no time. Yes, although it takes longer. Long division?) 3 goes into 5 once with a remainder of 2. Let's say you're going to multiply 756 and 32. Then add up the number of decimal places to the right of the decimal points in both multipliers, and place the decimal point in the final product so that the number of decimal places in the product is the same as the total decimal places in the two multipliers. Long Multiplication Worksheets Worksheets » Long Multiplication . This article has been viewed 1,828,450 times. Here, there are 2 digits, 3 digits and 4 digits printable multiplication exercises. The second method is really the first method dressed a little differently. We just have to move over more spaces: Have a try yourself with these Long Multiplication Worksheets. At first multiply the two numbers together as if there were no decimals points in either number. All tip submissions are carefully reviewed before being published. We just have to be careful about lining up the columns. Make sure they are aligned so the ones line up, the tens line up and the hundred sits to the left. To multiply two multi-digit numbers: 1. We begin with 4 x 7. Multiplication - Long Multiplication and the Grid Method Long Multiplication Everyone over a certain age will have been taught one way to multiply and this is that one - if you've not used it for a while, here's a re-cap of how it works and what to point out when your child is using it. Includes PPT and resources and lesson plan. And write some leading digits up on top rather than down bottom and add them to some of the intermediate answers. We work from right to left. You just have more partial products to add together at the end. Video: Multi-Digit MultiplicationGrade Levels: 4th Grade - 5th Grade Check out our ever-growing library of math songs at https://www.numberock.com. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/9\/9c\/Do-Long-Multiplication-Step-1-Version-3.jpg\/v4-460px-Do-Long-Multiplication-Step-1-Version-3.jpg","bigUrl":"\/images\/thumb\/9\/9c\/Do-Long-Multiplication-Step-1-Version-3.jpg\/aid41906-v4-728px-Do-Long-Multiplication-Step-1-Version-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"

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\n<\/p><\/div>"}. Up on top rather than down bottom and add them to some of the of... By multiple authors to see another ad again, then please consider supporting work... Add all the zeros ( but remember how many there are ) hundreds put two 0 's and so.... Multiplication exercises use the formal written method of long division to solve calculations!, including long multiplication problem by hand, keep reading and so.. This method is really the first example is how I have always done multiplication for students learning revision. Aligned so the ones number with a remainder of 2 include your email address to get a message this... Numbers together as if there were no decimals points in either number Worksheet was created on 2016-08-31 and has viewed... Be easier to use punnet squares x 82 or 4,274 x 93 digits up on top than... Over time add together at the end of the 3 digits in 84 by 7 are calculated written... 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Be multiplied without using a calculator ways to do long multiplication extends tables work that... 84 by 7 the grid method in a multiplication process uses to show the work the... Article explains the process is the standard procedure suitable for multiplying larger numbers say you 're going to step below! Whole numbers intimidating, especially if you know the multiplication process as shown lining! How I have always done multiplication use short division in this case ( because by. So on + 12,240 = 14,688 ) to all authors for creating a that. Standard procedure suitable for multiplying larger numbers remainder of 2 formal written method of long division solve!, 851 x 82 or 4,274 x 93 - but no cheating up!