276,850 views
33 votes
33 votes
Calvin thinks that only fractions with a denominator of 2, 4, 5, 10 and 20 will

change into terminating decimals. See if he is correct by converting every unit
fraction from ½ up to 1/25 into a decimal using your calculator. Try to explain your
findings

User Amarnath R
by
2.9k points

1 Answer

12 votes
12 votes

Answer: Calvin is incorrect because as you can see from my table, when we have the fraction ⅛ we get a terminating decimal proving that he is wrong.

Step 1: Create a table that shows the unit fraction and the decimal of each (the r stands for repeating, and ra stands for random numbers). To convert the unit fraction to a decimal, simply type it in your calculator, but use the division sign instead of the fraction bar. I stopped my table at ⅛ since that is where we find our answer, but you can keep going. My table is attached.

Step 2: Formulate a well thought out explanation of why he is wrong. Example: My answer above.

Calvin thinks that only fractions with a denominator of 2, 4, 5, 10 and 20 will change-example-1
User Jorenar
by
2.7k points