1/4 = 0.25
1/2 = 0.50 or 0.5
3/4 = 0.75
1/3 = 0.33
2/3 = 0.66
Place Value
Fractions to Decimals:
34/100 = 0.34 zero and thirty four hundredths
6/10 = 0.6 zero and six tenths
3 5/10 = 3.5 three and five tenths
4. 75/100 = 4.75 four and seventy five hundredths
More examples:
Writing Fractions as decimals that do not have a 10 or 100 as the denominator
**If a fraction does not have a 10 or 100 as the denominator, you have to CHANGE it so you can write it as a decimal.
**To change it, use your knowledge of equivalent fractions.
Example:
Write 3/5 as a decimal
To do this, we must change 3/5 to 6/10 by multiplying both numerator and denominator by 2.
Then 6/10 can be written 0.6
So, 3/5 as a decimal would be 0.6
Example:
Write 3/4 as a decimal
To do this, we must change 3/4 to 75/100 by multiplying the numerator and denominator by 25
**We can't multiply anything times 4 to equal 10, so we must try to make 100**
Then 75/100 can be written 0.75
So 3/4 as a decimal would be 0.75
Comparing and Ordering Decimals
When comparing and ordering decimals, use the strategy you would use when comparing and ordering whole numbers.
Start at the left and work through the number until you reach a digit that is different.
When you get there, compare those digits to see which one is the greatest or least.
Example:
Compare 0.25 0.36
*both decimals have a 0 in the ones places, so move to the tenths place
*now compare the 2 and the 3 that are in the tenths place
*2 is less than three so..
0.25 < 0.36
Use the same strategies when ordering decimals.
Example: Put the following decimals in order least to greatest:
1.25, 0.56, 0.4, 1.35
*0.56 and 0.4 both have a 0 in the ones place, so start there
*4 is less than 5 so 0.4 comes first, followed by 0.56
*1.25 and 1.35 both have a 1 in the ones place but 2 is less than 3 (in the tenths place) so 1.25 comes next with 1.35 being last
So correct order from least to greatest would be:
0.4, 0.56, 1.25, 1.35
