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 :
- Step 1: Think of a number between 1 and 10. Let's call it .
- Step 2: Add 6 to your number. Now you have .
- Step 3: Add to the result. This gives .
- Step 4: Subtract 3. Now you have .
- Step 5: Subtract the number you first thought of (). This becomes .
So, no matter what number you choose at the beginning, the final result will always be .
Would you like more details on any part of the process?
Here are 5 questions to expand your understanding:
- What happens if the initial number is negative?
- Can this method be used with numbers greater than 10?
- Why does the process always result in ?
- How would the result change if the steps were modified?
- 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
-
Suitable Grade Level
Grades 4-6