How To Use Long Multiplication With Decimals
Multiply the numbers just as if they were whole numbers. Now multiply 2 times 5 to equal 10.
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Firstly you should count the total number of decimal places included in both the multiplicand and the multiplier.

How to use long multiplication with decimals. In that example the decimal. In other words just count up how many numbers are after the decimal point in both numbers you are multiplying then the answer should have that many numbers after its decimal point. Steps for multiplication of decimals are given below with an example.
Zeros at the end. For our example we will use 12 times 345. BUT when we we write down the final answer we can leave off any zeros at the end unless we are asked to keep them there like this.
In this case the whole number factor ends in zero. Multiply normally ignoring the decimal points. Step 2 Next we remove the decimal points from the problem and solve using long multiplication.
Count the number of decimal places in the two factors add these two numbers together 3 1 4 and place the decimal point in the answer so that it has four digits after the decimal point. To multiply decimals use the following steps. It is important to note that there was one digit after the decimal point in 12 and two digits after the decimal point in 345 with a total of three digits.
Multiply the number in the ones place of the bottom number by the number in the tens place of the top number. Long Multiplication with Decimals Count the total number of decimal places contained in both the multiplicand and the multiplier. Consider multiplication of two numbers 232 and 3 for example.
This number tells you the number of decimal places you should have in your answer. Overlook the decimals and. For example if the long multiplication result is 85091 5 digits but you need to add 6 decimal places simply add a 0 to the left side of the result and insert the decimal point at the beginning so it becomes 085901 now has 6 decimal places.
About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. We place the numbers and now we can multiply a decimal number by a whole number. Keep them there while you work out where to put the decimal point.
So refer to the below simple rules and follow the process while doing Long multiplication with decimals using the standard algorithm. Add the 1 you carried over above the 5 to 10 to equal 11 and then write a 1 next to the 2 in the bottom row. Count the number of decimal places in all of the numbers of the question combined.
To put the decimal point 5 places along we had to insert another zero. We break down the number into another number multiplied by 10. Follow the diagonal from that spot to your answer.
Then trace the decimals until your fingers meet at a corner in the lattice. We multiply the decimal by 10 thereby getting rid of a decimal place. Complete the multiplication as you would for whole numbers.
Here is another example using long multiplication. Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined. To figure out where the decimal belongs in your answer put your fingers on each decimal in the numbers you multiplied together.
Ignore the decimal points then multiply the numbers that remain. Place the decimal point so that there are the same number of. Draw your lattice making sure to put the decimal in the correct place for each number.
Ignore the decimals and right align the numbers one on top of the other as if they were integers Multiply the numbers using long multiplication. Take the count of the total number of places digits to the right of the decimal point in both numbers. What if there are zeros at the end.
Multiplication with decimals and a whole number ending in zero. Starting on the right multiply each digit in the top number by each digit in the bottom number just as with whole numbers. Insert a decimal point in.
Line up the numbers on the right--do not align the decimal points. When multiplying decimals add up the number of digits after the decimal points in the question.
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