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Chapter 1: Problem 425

Simplify. $$256-184$$

Short Answer

Expert verified
72

Step by step solution

01

- Identify the operation

The given problem is to simplify the expression by performing a subtraction operation: \(256 - 184\)
02

- Perform the subtraction

Subtract 184 from 256: \(256 - 184 = 72\)

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Key Concepts

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

Basic Arithmetic Operations
In prealgebra, understanding basic arithmetic operations is crucial. These operations include addition, subtraction, multiplication, and division.
The problem given involves subtraction, one of the fundamental operations you'll use often in math.
Subtraction helps us find the difference between two numbers. This is useful in many real-life situations like calculating change or determining the remaining amount of something.
Knowing how to perform basic arithmetic operations sets the groundwork for more complex mathematical concepts.
Subtraction Techniques
Subtraction can sometimes be tricky, but several strategies can make it easier:
  • Borrowing: When subtracting multi-digit numbers, sometimes the top number is smaller than the bottom number in a column. Borrow from the next column to the left.

  • Breaking Down Numbers: You can break apart numbers to simplify the subtraction. For example, breaking 184 into 180 + 4 can make mental subtraction easier.

  • Using a Number Line: Visualizing subtraction on a number line can help understand the distance or difference between numbers.

For our problem, we need to subtract 184 from 256. Using these techniques can make sure we get the correct result, which is 72.
Simplifying Expressions
Simplifying expressions means reducing them to their simplest form. In subtraction problems, this involves completing the operation to get a single number as the result.
The given problem is to simplify the expression: \(256 - 184\). We start by identifying the arithmetic operation, which is subtraction.
Next, perform the subtraction:\[256 - 184 = 72\]
So, the simplified form of the expression is 72. Simplifying expressions helps to understand the true value or outcome of mathematical statements.
By mastering these simplification skills, you'll be better equipped to tackle more complex algebraic problems in the future.

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