How To Do Long Multiplication With Decimals

Line up the numbers on the right--do not align the decimal points. To put the decimal point 5 places along we had to insert another zero.

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Long Multiplication with Decimals Count the total number of decimal places contained in both the multiplicand and the multiplier.

How to do long multiplication with decimals. We put the decimal point 3 places along. Starting on the right multiply each digit in the top number by each digit in the bottom number just as with whole numbers. 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.

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. Become a member and. 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 Oness place value of multiplicand and Ones place value of product of LSD of multiplier whole multiplicand should be vertically aligned in a straight line.

For example if the number was 12 you would end up with 10 and 2. Make sure they are aligned so the ones line up the tens line up and the hundred sits to the left. Standard long multiplication Write down the large number above the smaller number.

When multiplying a decimal by a whole number placement of the decimal point is very important. 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. Doing long multiplication with decimals is the same as doing any long multiplication with one additional step we add a decimal point to the answer.

We break down the number into another number multiplied by 10. Note that the longer number is on top the one with the most digits. Multiply the numbers just as if they were whole numbers.

Multiply the number in the ones place of the bottom number with the number in the ones place of the top number. Since there are two decimal digits in the factor 1875 there must be two decimal digits in the product 375000. We multiply the decimal by 10 thereby getting rid of a decimal place.

When multiplying decimals add up the number of digits after the decimal points in the question. 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 do long multiplication quickly start by splitting up the tens and ones place in the smaller number. In this case the whole number factor ends in zero. This makes it easier to do the multiplication.

Multiply normally ignoring the decimal points. Insert a decimal point in. This is because hundredths x whole number hundredths.

Complete the multiplication as you would for whole numbers. We place the numbers and now we can multiply a decimal number by a whole number. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators.

Multiplication with decimals and a whole number ending in zero. See full answer below. This number tells you the number of decimal places you should have in your answer.

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