Subtraction of decimals: rules, examples

In this publication, we will consider how another fraction (decimal and ordinary) or a whole natural number (and vice versa) can be subtracted from a decimal fraction. We will also analyze examples for a better understanding of the material presented.

Content

Rule for subtracting decimals

The difference between decimal fractions is found by subtracting them in a column. The algorithm is given below:

1. We arrange the fractions so that their commas are strictly one under the other. Thus, the digits of the same name will also appear under each other: tenths under tenths, hundredths under hundredths, thousandths under thousandths, etc.

Note: If the number of decimal places for fractions is different, at the end of the fraction with fewer digits in the fractional part, add zeros to equalize its length with the other. According to , this will not affect its value in any way.

Examples of incorrect writing of the difference:

Subtraction of decimals: rules, examples

Examples of the correct record of the difference:

Subtraction of decimals: rules, examples

2. Ignoring the commas, we subtract another from one fraction (i.e., we conditionally accept them as integers).

3. In the result, add a comma in the same place where the commas of the fractions are located above.

The difference between a decimal fraction and a whole natural number

If you want to find the difference between a decimal fraction and a whole natural number, at the end of the latter we put a comma, after which we add as many zeros as there are digits after the decimal point in the decimal fraction. Next, we perform the required action, i.e. subtraction.

Difference between decimal and common fractions

To find the difference between decimal and simple fractions, the last . Next, we do the subtraction.

An alternative option is vice versa, decimal fraction. Here we will be.

Examples

Let’s calculate the differences of decimal fractions, which were discussed above:

Subtraction of decimals: rules, examples

And now let’s see examples of subtracting a whole natural number from a decimal fraction and vice versa.

Subtraction of decimals: rules, examples

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