Mai and Tyler play a game. They each roll 6 dice. They must make each number they roll either a tenth or a hundredth. Then they find the sum of those 6 numbers

1. Mai rolls 6 sixes. How close can she get to a sum of 1 (without going over)?
2. Tyler rolls 6 fours. How close can he get to a sum of 1 (without going over)?

1. Which whole number is closest to? Explain or show your reasoning.

2. Find the value of .

Find the value of the expression .

1. Which whole number is closest to? Explain or show your reasoning.

2. Find the value of .

1. Here is how Elena found the value of  .

   

   Explain her calculations and the meaning of the 15 written above the digit 5 and the 17 written above the digit 7 in 15.37.

2. Use Elena's algorithm to calculate .

Find the value of each expression.

1. Kiran finds the value of  with these calculations.

   
   
   

   Explain why Kiran’s strategy works.
2. Find the difference in a way that makes sense to you.

Lin tries to use the digits 1, 3, 4, 2, 5, and 6 to make 2 two-digit decimals whose sum is 1. Each digit can only be used once.

1. Explain why this can’t be done.
2. What is the closest Lin can get to 1? Explain how you know.