Just as you add and multiply whole numbers, you can also do the same with decimals.The easiest way to perform these operations is to use the standard vertical algorithms.There are special rules for placing the decimal point in a sum or product.
Step 1: The numbers should be written vertically with the decimals aligned.
The numbers should be on top of each other.This makes sure that the place values are lined up.When adding numbers, the numbers will not necessarily be right-aligned.Adding the numbers 7.92 and 15.525 is necessary.The 2s in the hundredths place of both numbers should be aligned vertically.
Step 2: The numbers should be the same length.
The numbers should have the same number.To make the numbers right-aligned, add zeros to the end of them.Make sure the place values of the numbers line up.Adding a 0 to the thousandth place of 7.92 will change the number to 7.920.The two numbers should be in line.
Step 3: Add according to the standard formula.
The place value is the farthest to the right.Carry the digits into the next place value if necessary.Add the digits as normal after ignoring the decimal point.You should end up with 23450 if you add 15525 and 7920.
Step 4: Put the decimal into your sum.
The answer should be aligned with the decimal points in your addends.For example, 15.525+7.92 is a display style.
Step 5: Ignore the numbers.
When you add, you don't have to worry about aligning them.The decimal points can be forgotten until the last step.If you were to divide 0.75 and 0.02 by 75 and 2, you would come up with 075 and 002.
Step 6: The multiplication problem can be set up vertically.
You should align the digits the same as you would a number.The digits in the ones place, 5 and 2, are aligned if the display style is vertically set up.
Step 7: Multiply by the standard formula.
The partial product can be found if you begin with the ones place.The other place values are used to find partial products.You can record their sum by adding the partial products together.752 is defined as a displaystyle of 75 times 2.
Step 8: The two factors include the number of decimal places.
The number of digits to the right of the decimal point is what you are looking for.Add the number for each factor together.0.75 has two places to the right of the decimal point.There are 2 places to the right of the decimal point for the other factor.There are 4 places to the right of the decimal point.
Step 9: The decimal should be placed in your product.
To the right of the decimal point, your product will have the same number of digits.If you have to, add zeros to the decimal places in your answer.The product of 0.75 and 0.02 should have 4 digits to the right of the decimal point.Imagine a decimal point at the end of a number.The decimal point should be moved to the left.The number has four digits to the right of the decimal point if you add a 0 in the tenths place.0.75 times 0.02 or simply 0.015 displays.
Step 10: The following addition problem can be solved.
The display style is 4.25+8.598.The numbers need to be aligned with the decimal points.Turn 4.25 into 4.250 to make the numbers the same length.Add according to the standard method.If you ignore the decimal points, you'll be adding 4250 and 8598.You should get 12848.Drop the point into the sum.The addends have decimal points.12848 becomes 12.848.
Step 11: The following multiplication problem can be solved.
The displaystyle is 5.3 times.Ignore the decimal point and use the standard vertical multiplication method.You will divide the display style by 96.Find partial products and add them together.You should have 5088.The two factors have the decimal places in them.For a total of 2 decimal places, 5.3 and 9.6 are included.The product should have the decimal in it.The product will have two places to the right of the decimal point if the factors are combined.Imagine a point at the end of the number.It should be moved 2 places to the left.Between the 0 and 8 is where it should sit.5088 becomes 5088.
Step 12: Show your work.
Stanley has a lot of yellow fabric.She has a lot of yellow fabric.Archie has a lot of fabric.How many yards of fabric do they have?We are told to add by the phrase "all together".The problem has three numbers, but you add them to two numbers.The three problems should be lined up vertically with the three points aligned.Add a 0 in the hundredths place of 8.5 to make all of the numbers the same length.So, it becomes 8.25.Add according to the standard formula.Add 1025, 850, and 1275 if you ignore the decimal points.You should find the sum.The answer should include the decimal point.The addends are between the 1 and the 5.So, 3150 becomes 31 cents.They have 31.5 yards of yellow fabric.