Math Problem Statement

how to obtain 24 from four identical numbers?

Solution

To obtain 24 from four identical numbers, there are several mathematical operations you can consider. The most straightforward approach is to use multiplication. Here's a simple way:

Using Multiplication:

If you use the number 6, you can obtain 24 as follows: 6×6×6×6=246 \times 6 \times 6 \times 6 = 24

However, for other approaches, you might consider using a combination of different operations like addition, subtraction, or division. Here’s a more creative way using only the number 4:

Using 4:

4×44÷4=244 \times 4 - 4 \div 4 = 24

  • Multiply two 4's: 4×4=164 \times 4 = 16
  • Divide one 4 by another: 4÷4=14 \div 4 = 1
  • Subtract the result: 161=2416 - 1 = 24

This method works with basic arithmetic operations.

Would you like me to explore more ways to approach this problem, or do you have a specific restriction in mind for the numbers you are using?


Here are 5 questions that expand on this concept:

  1. How can you use addition or subtraction to obtain 24 from four identical numbers?
  2. Is there a way to use exponentiation to get 24 from four identical numbers?
  3. Can you obtain 24 from four numbers using only division or multiplication, and how?
  4. What other number sets (like 3's or 5's) can you use to get 24?
  5. How can parentheses affect the outcome of operations when obtaining a target number like 24?

Tip: Parentheses can drastically change the order of operations in an expression, so don’t forget to use them when needed!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Order of Operations
Problem Solving

Formulas

(a * b) - (c / d) = Result
Multiplication and Division of Identical Numbers

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-7