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Chapter 3: Problem 128

In the following exercises, model each expression and simplify. $$9-3$$

Short Answer

Expert verified
9 - 3 = 6

Step by step solution

01

Understand the Expression

Look at the given mathematical expression: 9-3.
02

Identify the Operation

In this expression, the operation to be performed is subtraction.
03

Perform the Subtraction

Subtract 3 from 9: 9 - 3.
04

Simplify

When you subtract 3 from 9, you get 6. So, 9 - 3 = 6.

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Key Concepts

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

Understanding Subtraction
Subtraction is one of the four basic arithmetic operations. It involves finding the difference between two numbers. For example, in the given expression 9 - 3, we want to know how much remains when we take 3 away from 9.

Subtraction is essential in many real-life situations, such as calculating expenses, determining discounts, and measuring distances.

To perform subtraction, we follow these steps:
  • Identify the numbers involved (minuend and subtrahend). In 9 - 3, 9 is the minuend, and 3 is the subtrahend.
  • Subtract the subtrahend from the minuend. In our example, 9 - 3 equals 6.
  • Verify the result to ensure accuracy.
When approaching subtraction in equations, it's crucial to understand the terms and the significance of finding the difference.
Breaking Down a Mathematical Expression
A mathematical expression is a combination of numbers, variables, and operations. In our example, the expression is 9 - 3. Understanding the components of a mathematical expression is key to solving it correctly.

Here鈥檚 how to break it down:
  • Start by identifying the numbers (operands) and the operation involved. In this case, our numbers are 9 and 3, and the operation is subtraction.
  • Next, understand what each part of the expression represents. The number 9 is the initial amount, and we are subtracting 3 from it.
  • Simplify the expression step by step, performing the operations in the correct order. For 9 - 3, we perform the subtraction directly to get the result, which is 6.
Mathematical expressions can become complex, but understanding the basic building blocks makes it easier to simplify and solve them accurately.
Simplification Techniques
Simplification is the process of making a mathematical expression easier to understand or solve. For the expression 9 -3, simplification involves calculating the result of the subtraction.

Here鈥檚 how to simplify an expression:
  • Identify the operation involved. In this case, it is subtraction.
  • Perform the operation step by step. Subtract 3 from 9. This gives you 6.
  • Double-check your result to ensure it is correct.
Simplifying expressions helps in solving complex problems and in understanding mathematical concepts clearly.

Practical tip: For more complex expressions, follow the order of operations (PEMDAS/BODMAS) 鈥� Parentheses/Brackets, Exponents/Orders, Multiplication, Division, Addition, and Subtraction to simplify correctly.

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