How can I use the digits…

Mathematics Questions

How can I use the digits from 2025 (2, 0, 2, and 5) exactly once each, along with any mathematical symbols, to create expressions that equal the numbers from 1 to 100?

Short Answer

The process involves using the digits from 2025 (2, 0, 2, 5) with basic arithmetic operations to form various target numbers while ensuring each digit is used only once. Specific calculations are provided for numbers 1 through 12, utilizing addition, subtraction, and multiplication where necessary.

Step-by-Step Solution

Step 1: Form the Number Using Basic Operations

To create numbers using the digits from 2025 (2, 0, 2, and 5), you can apply basic arithmetic operations like addition, subtraction, multiplication, and division. It’s essential that you use each digit only once for the calculations. Here’s how you can form various target numbers:

  • 1: 5 – 2 – 2
  • 2: 2 + 0
  • 3: 5 – 2
  • 4: 2 + 2
  • 5: 5 + 0
  • 10: 2 √ó 5
  • 12: 2 √ó 5 + 2

Step 2: Breakdown of Each Calculation

Each number can be created using specific expressions, and understanding the breakdown of each calculation is essential. For instance:

  • 1: Subtract one 2 from 5, resulting in 3, then subtract the other 2 to achieve 1.
  • 2: Just add 2 and 0 together.
  • 3: Subtract 2 from 5, which leads to 3.
  • 4: Simply add both 2’s to reach 4.

Step 3: Utilize Multiplication for Larger Numbers

For numbers greater than what basic addition or subtraction can provide, multiplication can be employed effectively. This is crucial for reaching higher values like 10 and 12:

  • 10: Multiply 2 by 5 to get 10.
  • 12: First multiply 2 by 5 (10), then add another 2 to reach 12.

These structured steps illustrate how to combine the digits from the year 2025 to form various numbers using basic arithmetic.

Related Concepts

Basic arithmetic operations

The four fundamental operations of mathematics: addition, subtraction, multiplication, and division, used to compute values from numbers.

Target numbers

The specific numbers that are aimed to be formed using various arithmetic calculations from given digits.

Expression breakdown

Analyzing the step-by-step process used to achieve a specific result or target number through the application of arithmetic operations.

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