378 players want to play in a cricket tournament. Each team needs exactly 11 players. How many players will be left without a team?
Understand the Problem
The question is asking how many players will be left over if 378 players are divided into teams of 11. This can be solved by finding the remainder when 378 is divided by 11.
Answer
4
Answer for screen readers
4 players
Steps to Solve
- Divide the total number of players by the number of players per team
To find out how many players are left over, we need to divide the total number of players (378) by the number of players in each team (11).
- Perform the division
$$ 378 \div 11 = 34 \text{ with a remainder of } 4 $$
Alternatively, we can represent this as:
$$ 378 = 11 \times 34 + 4 $$
- Identify the remainder
The remainder of the division represents the number of players left over. In this case, the remainder is 4.
4 players
More Information
The quotient (34) represents the number of full teams that can be formed. The remainder (4) represents the number of players that are not enough to form another full team.
Tips
A common mistake is to focus on the quotient (34) instead of the remainder (4). The question specifically asks for the number of players left over, which is the remainder.
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