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Chapter 2: Problem 41

Simplify. $$ 13-5-7 $$

Short Answer

Expert verified
The simplified result is 1.

Step by step solution

01

Subtract the First Pair

Begin by performing the first subtraction in the expression: subtract 5 from 13. So, calculate: \( 13 - 5 = 8 \)
02

Subtract the Second Pair

Next, subtract the remaining number in the expression, 7, from the result of the previous step.So, calculate: \( 8 - 7 = 1 \)
03

Conclusion

The final simplified result of the expression is 1. Thus, \( 13 - 5 - 7 = 1 \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Subtraction Process
Subtraction is an essential arithmetic operation used to calculate the difference between numbers. It's part of our daily lives, from balancing accounts to measuring quantities. The subtraction process can sometimes seem simple but involves a clear procedure. To simplify an expression like \( 13 - 5 - 7 \), follow these steps:
  • Identify the numbers to be subtracted. In this expression, you have three numbers: 13, 5, and 7.
  • Choose the order of subtraction, which is usually left to right unless parenthesis indicate otherwise.
  • Perform the subtraction step by step, handling only two numbers at a time.
After applying these principles, the problem \( 13 - 5 - 7 \) is solved by first subtracting 5 from 13 to get a preliminary result of 8, and then subtracting 7 from the result.
Step-by-Step Calculation
Breaking down calculations into smaller parts is a great way to simplify complex arithmetic tasks. This step-by-step method ensures accuracy by tackling one operation at a time. This approach is particularly useful for beginners or when handling longer and more complicated expressions.For the expression \( 13 - 5 - 7 \), the calculation can be organized into the following steps:
  • Step 1: Subtract the first pair. Start with 13 and subtract 5, which results in 8. This is your intermediary result.
  • Step 2: Subtract the second pair. From the intermediary result of 8, subtract 7. This gives you the final result.
By handling the subtraction one step at a time, you ensure that the calculation is manageable and errors are minimized.
Basic Arithmetic Operations
Arithmetic operations are the building blocks of mathematics. They include addition, subtraction, multiplication, and division. Subtraction, in particular, is used to determine how much is left after taking away some part from the whole.In basic arithmetic, each operation follows specific rules:
  • Addition: Finds the sum of values.
  • Subtraction: Calculates the difference between values, as seen in expressions like \( 13 - 5 - 7 \).
  • Multiplication: Offers the product by scaling numbers.
  • Division: Determines how one number is divided into another.
Subtraction is straightforward but vital to simplify expressions, balance equations, and solve everyday problems. Understanding each operation's fundamentals helps ease complexity in larger calculations.

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