Decimal Equivalents

Equivalent Decimals

Equivalent decimals can look different, yet, be the same. When looking at decimals, it is very easy to find equivalent decimals. Equivalent decimals can be created by adding trailing zeros. For example 0.5 = 0.50 = 0.500, but, you would read each differently (5 tenths, 50 hundredths, 500 thousandths ). Whenever you see trailing zeros, drop them to select the simplest decimal.

The following are examples of  decimal equivalents.

  • and change to 7.4
  • and change to 6.87
  • and change to 0.345
  • and change to 0.6

The following show why .1 = .10 (1 of 10 = 10 of 100)

           
                                                                                                                       

The following shows why      .3 = .30     ( 3 of 10 = 30 of 100)

           
                                                                                                                       

The following shows why .7 =.70 (7 of 10 = 70 of 100)

           
                                                                                                                       

The following shows why .30 = .3    (30 of 100 = 3 of 10)

           
           
           
           
           
           
           
           
           
           

Check Your Understanding

Explain why the following pairs are numbers are equivalent ...

  1. 0.2 and 0.20    
  2. 0.70 and 0.7
  3. .1 and .10        

If you were to compare the following pairs of numbers, Are they equivalents ....

  1. 2.04 and 2.4
  2. 32.5 and 3.25
  3. 0.24 and .240
  4. 1.240 and 1.24
  5. 0.60 and 0.6

Enter two numbers between 0 and 999.9999 that are equivalent.  Click the button "Check" and check your answer.