Tuesday, November 20, 2012

Ordering Decimals from least to Greatest

Introduction to Ordering Decimals from least to Greatest:

The decimal numeral system (also called base ten or occasionally denary) has ten as its base. It is the numerical base most widely used by modern civilizations. Decimal notation often refers to the base-10 positional notation such as the Hindu-Arabic numeral system; however it can also be used more generally to refer to non-positional systems such as Roman or Chinese numerals which are also based on powers of ten. (Source - Wikipedia)

Steps for Arranging Ordering Decimals from least to Greatest:

Steps for arranging Ordering Decimals from least to Greatest,

Step 1:  Begin the process of arranging least to greatest decimal by arranging the tenths place the digit straight away to the right of the decimal position. We don’t want to worry about the remaining places in this step. presently arrange the decimal values in the order of the 0s, and then the 1s, 2s, and so on, up to 9s.

Step 2: Decimal digits with the similar digit present in tenths place then consider the hundredths place (next digit) and arrange them. Few decimal numbers are not having a hundredths place. For that purposes here, imagine that these integers contain a 0 in the hundredths place.

Step 3: Integers with the similar digits in the tenths and hundredths position, arrange them based on the thousandths place which is the third digit after the decimal point.I like to share this Why is 1 not a Prime Number with you all through my article.

Step 4: If essential, insert less-than, greater-than and equal-to symbols. For greater-than and less-than signs. Here is the listing of 10 decimal numerals including those symbols:
0.094 = 0.0940 < 0.1 < 0.289 < 0.48 < 0.4895 < 0.4898 < 0.6548 < 0.70 < 0.73

Example for least to Greatest Decimal:
Example for least to greatest decimals with one decimal point:

Pro:    8.8, 2.5, 4.2,89, 92, 3.9, 7.6

Sol:    2.5< 3.9< 4.2< 7.6< 8.8< 89< 92

Thus the least to greatest decimals for one decimal point is arranged.

Example for least to greatest decimals with two decimal positions:

Problem: 0.78, 0.25, 0.50, 0.98, 5.7, 95, 0.89

Solution: 0.25< 0.50< 0.78< 0.89< 0.98< 5.7< 95

Thus the least to greatest decimal for two decimals points are arranged.

Example for least to greatest decimals with three decimal points:

Pro:   0.895, 0.951, 0.889, 0.998, 0.635, 0.185

Sol:   0.185< 0.635< 0.889< 0.895< 0.951< 0.998

Thus the least to greatest decimals for three decimals points are arranged.

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