Final answer:
To divide 2,134 buttons equally into 12 jars, Lisa would place 177 buttons in each jar, with 10 buttons left over that can't be distributed evenly.
Step-by-step explanation:
Lisa has 2,134 buttons that she wants to sort equally into 12 jars. To find out how many buttons will be in each jar, we divide the total number of buttons by the number of jars. So, we do the calculation 2,134 divided by 12.
The calculation yields: 2,134 ÷ 12 = 177.83. Since we can't have a fraction of a button in a jar, we consider only the whole number part of the quotient, which is 177 buttons per jar. There will also be a remainder, which represents the buttons that cannot be evenly distributed. To calculate this, we take the decimal part of the quotient and multiply it back by 12: 0.83 × 12 = 9.96, which we round to 10 buttons. This means there are 10 extra buttons that will not be in any jar.
Therefore, Lisa will have 177 buttons in each jar, with 10 buttons left over that can't be distributed evenly.