Decimals are different way of writing a fraction that has denominators ending with zeroes.
Illustrations:
In fraction form;
And so, number 1 means 0.1, number 2 means 0.03 in decimal form, and so on. This dividing by 1 by 10,and dividing 3 by 100. After the decimal point we read the number as a whole number and name it of its last decimal place.
From the example, 0.1 read as 1 tenths, 0.03 read as 3 hundredths.Period before the digits is the decimal point, and the following digits is a certain decimal places. The decimal places is illustrated for further vision about its places locations and how to read it.
This picture helps to visualize the idea of decimal places.
How to change any common fraction to decimal?
Simply divide the numerator and write the quotient in decimal form.
Illustration:
To add and subtract decimals, align all decimal in vertical form. Then in normal manner add or subtract the whole numbers in it. Also, see to it that the answer or result also has decimal point aligned to the given. The photo is provided below for more vivid clarification.
Illustration for the sum or addition:
Illustration for the difference or subtraction:
The decimals in the picture labeled in blue shows alignment.
Add the following decimals. First, align the decimals before
you do addition.
1. 0.262 2. 1.023 3. 12.4231 4. 0.236 5. 1264.223
0.58 12135 1.178 0.2369 4521.1
0.432 0.14 10.369 46.3 145.36
0.781 1.145 1.478 4.156 14.29
0.1235 2.78 12.489 3.145 42.125
Subtract the following decimals. First, align the decimals before you do subtraction.
1. 12.02 2. 2.36 3. 42.89 4. 78.001 5. 7.13
14.453 6.450 6.238 12.65 9.36
(photo credits from College Mathematics text/workbook by Lorina G Salamat et.al)
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