Video Transcript
Benjamin was told that he could
have one-third or 0.34 of the total jam inside a jar. Convert one-third to a decimal,
and determine which option would give Benjamin more jam.
In this question, we are given
two possible proportions for the amount of jam that Benjamin can have. We want to compare the sizes of
these two proportions. We could do this by rewriting
both numbers as fractions with the same denominator. However, we are told to do this
by first converting one-third into a decimal. We do this by typing one-third
into the calculator by using the fraction button, then pressing equals. Finally, we press the S to D
button to convert the output to a decimal to obtain the shown output.
We can write this as 0.3
recurring with the dot over the three since the three digit is repeating. However, it is not necessary to
do this to compare the sizes of the portions. Instead, we can note that both
decimals have the same integer part and the same first decimal digit. However, the second digit of
one-third is lower than that of 0.34. So, it is the larger
portion. Hence, one-third is equal to
0.3 recurring, and 0.34 is the option to give Benjamin more jam.