Converting Fractions Decimals

Converting Fractions To Decimals

Here’s how you can quickly and easily converts fractions to decimals in math.

Introducing the method of converting fractions to decimals in math, a wonderful method to convert fractions to decimals step by step.


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.

For example, we can group 5 and 7 together for the number 57 or 2 and 3 together for the number 23.

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.

 

Converting Fractions To Decimals

Step 1

First introduces the concept of decimal using Diene’s block.

Converting Fractions Decimals

Step 2

Next introduces the concept of decimals using hundred squares.

Converting Fractions Decimals

Step 3

Then shows the concept of decimal numbers using thousand squares.

Converting Fractions Decimals

We can also write as 0.007. We say it as seven thousandths.

Example 2:

Convert Fractions Decimals

We can also write as 0.050. We say it as fifty thousandths.

Example 3:

Convert fractions of thousandths to decimal numbers.

Convert Fractions Decimals

Example 4

Convert decimal numbers to fractions using place value chart.

i) Convert 0.302 to fractions.

How To Convert Fractions Decimals

 

The answer is three hundred and two thousandths.

ii) Convert 0.008 to fractions.

How To Convert Fractions Decimals

The answer is eight over one thousand / eight one thousandths.

 

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


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  1. Reading Decimals
  2. Fractions Decimals
  3. Dividing Decimals
  4. Adding Decimals
  5. Rounding Decimals

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