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Wednesday, February 29, 2012

Operations on Decimals (A Review)

For years we have been operating on numbers that are based on powers of 10. These are called decimal numbers. For example, 231 is a decimal number because it is composed of  (2 x 100) + (3 x 10) + (1x1).

Meanwhile, there are decimal numbers that have components less than 1. To accommodate such numbers, we denote them with decimal points, and their place values are read similarly with whole number places but with "th" at the end and the decimal point is read as "and". For example, 231.045 is read as "two hundred thirty-one and forty-five thousandths".

Just as there are four basic arithmetic operations with whole numbers, there are also four basic operations with decimals. We review them here.

Addition and Subtraction
1. Align the decimal points.
2. Add normally.

Multiplication
1. Multiply normally.
2. Count the number of decimal places in both factors. Their total is the number of decimal places in the product.

Division
1. If there are decimal places in the divisor, move its decimal point to the right as many decimal places as possible to get rid of any decimal parts. For instance, if there are 3 decimal places, move the decimal point three places to the right.
2. Move the decimal point in the dividend in the same number of places as in the divisor.
3. Divide normally.


Examples.
1) 0.00056 + 0.32443 = 0.32499
2) 65.43 - 38.14 = 27.29
3) 0.3 x 0.6 = 0.18  (one decimal place in 0.3 and one in 0.6, so there are two decimal places in 0.18)
4) 24 / 0.12 = 2400 / 12 = 200 ( there are 2 decimal places in 0.12, so both dividend and divisor had their decimal points moved two decimal places)


 

3 comments:

  1. KUADANTE, Finally, I learned how to comment na.
    btw, your blog~ full of math stuff. kaya masayang balik balikan ^^,

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  2. Haha! Grabe kuya Dante, Hanggang dito ba naman? Halatang- halatang Math Major ka? Haha. But still, Nice one pa ren. Galing. As in, SIKSIK sa information. :DD keep it up!!

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    Replies
    1. well, thanks. i'll take that as a compliment.

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