Problem 216 - Prealgebra

Question

In the following exercises, solve. Class size There are 82 students in the school band and 46 in the school orchestra. What is the difference between the number of students in the band and the orchestra?

Step-by-Step Solution

Answer

The difference is 36 students.

Step 1: Identify the given numbers

Determine the number of students in the school band and the number of students in the school orchestra. In this problem, there are 82 students in the school band and 46 students in the school orchestra.

Step 2: Set up the subtraction

To find the difference between the number of students in the band and the orchestra, you need to subtract the number of students in the orchestra from the number of students in the band. Set up the subtraction problem as follows: 82 - 46

Step 3: Perform the subtraction

Subtract the numbers: 82 - 46 = 36

Step 4: State the final answer

The difference between the number of students in the band and the orchestra is 36 students.

Key Concepts

arithmetic operations

Arithmetic operations are the building blocks of math. They include addition, subtraction, multiplication, and division. These operations help us solve everyday problems and make sense of numbers. In this exercise, we focus on subtraction, which involves taking one number away from another. We use arithmetic operations to find the difference between two groups of students.

elementary math problems

Elementary math problems help us understand basic math concepts. They often involve simple numbers and straightforward operations. In this example, we are solving an elementary math problem by finding the difference between the number of students in two groups. These problems are essential for developing strong math skills and building a foundation for more complex problems.

subtraction skills

Subtraction skills are crucial for solving many math problems. To subtract, we need to line up the numbers correctly and take the smaller number away from the larger number. Here's a quick recap:

• Write the larger number on top.
• Place the smaller number below the larger number.
• Subtract each digit, starting from the right.

For this problem, we subtract 46 from 82. Start by subtracting the digits in the ones place (2 - 6). Since 2 is smaller, we need to borrow from the tens place. Change the 8 to a 7, making the 2 a 12. Now, 12 - 6 = 6.
Next, subtract the tens place (7 - 4 = 3). So, the final answer is 36.

problem-solving steps

Problem-solving steps help us break down complex problems into manageable parts. Follow these steps:

• Identify the given numbers (82 and 46).
• Set up the subtraction problem (82 - 46).
• Perform the subtraction.
• Check your work.
• State the final answer.

By following these steps, we ensure accuracy and build confidence in our math skills. For our example, we discovered that the difference between the number of students in the band and the orchestra is 36.