Fraction to decimal

We've been working on converting fractions into their decimal equivalents! We've been specifically looking at the meaning of place value and how to convert fractions with denominators of 10, 100, 1000, etc. into decimals using place value! The denominator determines where the numerator goes using place value...



Example 1:
1/100 = .01 the 1 is in the hundredths place (we have no tenths so the 0 "holds"
the 1 in the correct, hundredths place)

Example 2:
25/1000 = .025 the last digit in the numerator goes in the place value indicated by the denominator, which in this case is the thousandths place...then just back-fill until you get to the decimal. The decimal is read like a whole number but you then add the place value the last digit is in (twenty-five thousandths.....just like the fraction!)

Example 3:
101/100 = 1.01 (this is an improper fraction so we know that we have a value greater than 1 whole - not by very much in this case!)

example 4:
sometimes you have to create and equivalent fraction with a denominator of 10, 100, 1000, etc. before you can use our wonderful base-ten decimal system....if we had 4 fingered hands we've have a base-8 decimal system!!

4/25 = 16/100 (I multiplied the numerator and denominator both by 4)

16/100=0.16