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Decimal Comparison

Lecture



It is convenient to compare decimals with the same number of digits (characters) to the right of the comma.

To compare decimal fractions you need:

  • Make sure that both decimal fractions have the same number of digits (numbers) to the right of the comma. If not, then we add (remove) the necessary number of zeros in one of the decimal fractions.
  • Compare decimal fractions from left to right. Whole part with whole, tenths with tenths, hundredths with hundredths, etc.
  • When one of the parts of the decimal fraction (the whole part, the tenths, the hundredths, etc.) is greater than in the other fraction, this fraction and more.

How to compare decimals

Example. Compare decimals:

  Decimal Comparison
  • First we add in the first decimal fraction the required number of zeros to equalize the number of digits to the right of the comma.
    39,700 and 39,719
  • We start to compare decimal fractions from left to right.

    Integer part with integer part: 39 = 39. Integer parts are equal. Go to the tenth.

    Tenths and tenths: 7 = 7. Tenths are also equal. Go to the hundredth.


    One hundredths with hundredths: 0 <1. Since the hundredths of the second decimal fraction turned out to be larger, it means that the fraction itself is larger.


    39,700 <39,719

    39.7 <39.719

Another way to compare decimals

As in the previous comparison method, you must first equalize the number of digits to the right of the decimal point in both decimal fractions.

Then, discarding the comma in both fractions, compare the results obtained.

Example:

3,656 and 3,48

Equate the number of characters on the right in decimal fractions.

3,656 and 3,480

Now drop the commas and compare the resulting numbers.

3,656> 3,480

3,656> 3,480

3,656> 3,48

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Arithmetic

Terms: Arithmetic