NF - Decimal Fluency Lesson

Math_Lesson_TopBanner.png Decimal Fluency

Addition and Subtraction with Decimal Numbers

Finding the sum of decimal numbers can be accomplished by writing the decimal numbers one under the other and keeping the decimal points in a line vertically. Using this method, the whole numbers will be added to whole numbers, tenths added to tenths, hundredths to hundredths, and so on. The decimal point in the sum (the answer) is in the same line with the decimal points in the numbers that were added.  

For example, to add 2.357 + 6.14, we write:

   2.357
+ 6.140 =
   8.497
notice how we lined up the decimals
we can add a zero to help with the lineup

Finding the difference of decimal numbers works exactly the same way as finding the sum of decimal numbers by writing the decimal numbers one under the other and keeping the decimal points in a line vertically.

Multiplication with Decimal Numbers

The product of decimal numbers is found in the same manner as whole numbers are multiplied with the added concern of the correct placement of the decimal point in the product. Look at the examples below shown in fraction form and decimal form to illustrate how the decimal point is to be placed in the product.

      0.4 (one place)
 x 0.06 (two places) =
  0.024 (three places)

Division with Decimal Numbers

The process of division with decimal numbers is, in effect, the same as division with whole numbers with the added concern of where to place the decimal point in the quotient.

To divide decimal numbers first move the decimal point in the divisor to the right so that the divisor is a whole number.

Next, move the decimal point in the dividend the same number of places to the right.

Then place the decimal point in the quotient directly above the new decimal point in the dividend.

Finally divide just as with whole numbers.

image of divisor, quotient, and dividend

Watch the videos below for some more examples.  Click on the image to start the videos.

Dividing Fractions and Decimal Fluency Assignment Check

Download the "Dividing Fractions and Decimal Fluency Assignment Check" by clicking here. Be sure to work all of the problems on the paper. You will use these problems and solutions when you complete the "Dividing Fractions and Decimal Fluency Homework Quiz 2. Remember you can always go back and review the lessons and videos for more help. Links to an external site.

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