Fractions Decimals

Changing Fractions To Decimals

Want to know changing fractions to decimals? Have you ever wondered why some kids are more capable in fractions in math than others?

If you’re looking for a fast, easy, and legitimate way to changing fractions to decimals in math, please go through the math lesson below carefully:


The decimal numbering system uses ten symbols called digits, each digit representing a number in math.

These symbols are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The symbols are known as the numbers zero, one, two, three, etc.

By using combinations of 10 symbols, an infinite amount of numbers can be created in math.

Decimal fractions are commonly expressed without a denominator, the decimal separator being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator.

e.g., 8/10, 83/100, 83/1000, and 8/10000 are expressed as: 0.8, 0.83, 0.083, and 0.0008.

 

Changing Fractions To Decimals

In the process of converting a fraction to a decimal, we must perform the operation of division
that the fraction represents.

Example:
Convert 3/4 to a decimal.

Solution:
The fraction 3/4 represents 3 divided by 4. To put this into decimal form, we first divide
3 by 4. Add a decimal point and zeros to carry out this division.

Changing Fractions Decimals

Example:
Convert 1 to a decimal.

Changing Fractions Decimals

In the above example we see that no matter how many zeros we add, there will always be a
remainder of 1.

This is called a repeating decimal. A repeating decimal is indicated by a dash over the last number to the right of the decimal point.

So, 1/3 = 0.3333.

The bar is placed over the repeating portion.

For a repeating single digit, the bar is placed over only a single digit.

For a repeating sequence of digits, the bar is placed over the whole sequence of digits.

 

Check For More Decimals Lesson, Worksheets At Kids Math Blog Here.


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  3. Rounding Decimals
  4. Adding Decimals
  5. Subtracting Decimals

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