Math Problem Statement

Follow the steps below. What number do you get?

Solution

Let's break down the steps shown in the image to find out what number you will get:

Let the number you think of be xx:

  1. Step 1: Think of a number between 1 and 10. Let's call it xx.
  2. Step 2: Add 6 to your number. Now you have x+6x + 6.
  3. Step 3: Add 8-8 to the result. This gives x+68=x2x + 6 - 8 = x - 2.
  4. Step 4: Subtract 3. Now you have x23=x5x - 2 - 3 = x - 5.
  5. Step 5: Subtract the number you first thought of (xx). This becomes (x5)x=5(x - 5) - x = -5.

So, no matter what number you choose at the beginning, the final result will always be 5-5.

Would you like more details on any part of the process?

Here are 5 questions to expand your understanding:

  1. What happens if the initial number is negative?
  2. Can this method be used with numbers greater than 10?
  3. Why does the process always result in 5-5?
  4. How would the result change if the steps were modified?
  5. What is the mathematical principle behind this type of problem?

Tip: Problems like this often rely on the cancellation of variables, so pay attention to how the initial number is subtracted out!

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Algebra
Number Operations

Formulas

x + 6 - 8 - 3 - x = -5

Theorems

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Suitable Grade Level

Grades 4-6