Let's say you're going to multiply 756 and 32. We begin with 4 x 7. 34 x 27, 851 x 82 or 4,274 x 93. The process is the same as with shorter numbers. Also, check your work thoroughly and use a calculator afterwards - but no cheating. When we multiply 612 × 20 we only need to multiply 612 × 2 and place the result one column over (so it is the same as multiplying by 20). Multiply the non-zero numbers, then add all the zeros that you set aside beforehand. 3 goes into 26 eight times with a remainder of 2. You will know to carry the number over if it is a two digit number. We know ads can be annoying, but theyâre what allow us to make all of wikiHow available for free. If you really canât stand to see another ad again, then please consider supporting our work with a contribution to wikiHow. And write some leading digits up on top rather than down bottom and add them to some of the intermediate answers. Long division?) Long Multiplication First we multiply 612 × 4 (=2,448), then we multiply 612 × 20 (=12,240), and last we add them together (2,448 + 12,240 = 14,688). Yes, although it takes longer. It is usually used in Year 5 and Year 6 once children have got the hang of using the grid method. In the work, the calculator supplies a zero value in place values where the shift step happens. The second method is really the first method dressed a little differently. 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. Use the formal written method of long division to solve appropriate calculations. wikiHow is a âwiki,â similar to Wikipedia, which means that many of our articles are co-written by multiple authors. It's offered in the hope that some students might find in it an explanation of the first method. Long multiplication (or column multiplication) is a written method of multiplying numbers (usually a two- or three-digit number by another large number). Lesson 16. Method 2: standard long multiplication Write down the large number above 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. All tip submissions are carefully reviewed before being published. Both these methods use the distributive law for multiplication but they differ in how the partial products are calculated and written. The quotient is 187. Make sure they are aligned so the ones line up, the tens line up and the hundred sits to the left. There are a number of ways to do this. Includes PPT and resources and lesson plan. We work from right to left. These are same steps the long multiplication calculator uses to show the work for a multiplication problem. Always put a 0 at the end on the tens. Right-align the two numbers. This method is very versatile and can handle decimals as well as whole numbers. Multiply ones digit of the top number by the ones digit of the bottom number. Arrange the 4-digit multiplicand & 3-digit multiplier for long multiplication method, multiply the multiplicand by Least Significant Digit (LSD) of multiplier and the product underneath to the line in the way that the Ones’s place value of multiplicand and One’s place value of product of LSD of multiplier & whole multiplicand should be vertically aligned in a straight line. Lesson 17. What can I do if I am confused by all of the zeroes on the end of the numbers? 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