1. 480 dancers make groups of 15. How many groups are there? Explain or show your reasoning.
2. 480 dancers make groups of 30. How many groups are there? Explain or show your reasoning.

1. Explain why \(256 \div 4\) is equivalent to \((200 \div 4) + (40 \div 4) + (16 \div 4)\).
2. What is the value of \(256 \div 4\)? Show your thinking. Organize your work so it can be followed by others.

1. Use partial quotients to find the quotient \(636 \div 12\).

   

2. Use partial quotients to find \(636 \div 12\) in a different way.

The area of a rectangular field is 8,320 square yards. The width is 65 yards. How long is the field? Explain or show your reasoning.

Suppose a noodle company made a noodle that was 3,624 feet long, and suppose the noodle was shared equally and served 150 people.

1. Jada estimates that each person would be served about 20 feet of noodle. Do you agree with Jada? Explain or show your reasoning.
2. Is Jada’s estimate greater than or less than the actual length each person would be served? Explain or show your reasoning.

1. Andre makes a noodle that is 102 feet long. The noodle breaks into 2 pieces. One piece is 2 times as long as the other. How long are the 2 noodles? Explain or show your reasoning.
2. Priya makes a noodle that is 456 feet long. The noodle breaks into 2 pieces. One piece is 5 times as long as the other. How long are the 2 noodles? Explain or show your reasoning.

Lin finds the value of \(6,\!596 \div 68\). She calculates \(6,\!800 - 6,\!596\) and notices that it is \(3 \times 68\). Lin says that \(6,\!596 \div 68 = 97\).

1. Explain Lin's reasoning.
2. Use Lin's method to calculate \(7,\!448 \div 76\).