### Make 24

## Get Target Number Game

- The game is thought to have originated in China in the 1960s.
- The original game used playing cards, with the values of the cards being 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
- The game is also known as the 24 Game, the Four-Number Game, and the 24 Game.
- The game is a great way to practice mental math and problem-solving skills.
- The most popular strategy for solving the game is to use the basic arithmetic operations of addition, subtraction, multiplication, and division.
- There are also a number of more advanced techniques that can be used to solve the game, such as factoring, using fractions, and using exponents. The simplest approach is to:

- Start by trying to make 24 using the basic operations of addition and subtraction. This can often be done by simply adding or subtracting the numbers in different orders.
- Once you have tried all the basic operations, start to experiment with multiplication and division. Multiplication can be a very powerful tool for making 24, but it is important to remember that multiplication is commutative, so order does not matter. Division can also be helpful, but it is important to use it carefully to avoid getting stuck with fractions.
- Parentheses can be used to change the order of operations, which can sometimes create new solutions.
- For example, to solve 24 with the numbers 1, 2, 3, and 4, you can do:

- 1 * 2 * 3 * 4 = 24
- (1 + 3) * (2 + 4) = 24
- (1 + 4) * (2 + 3) = 24
- 1 * (2 + 3) * (4 - 1) = 24

The other techniques to solve are:

**Factoring:**Factoring can be a helpful tool for making 24, especially if the numbers involved have common factors. For example, if you are trying to make 24 with the numbers 6, 8, 9, and 12, you can factor 6 out of each number to get 6(1), 6(4/3), 6(3/2), and 6(2). This gives you a new set of numbers to work with that are easier to manipulate.**Using Fractions:**Fractions can also be helpful in some cases. For example, if you are trying to make 24 with the numbers 1, 2, 3, and 4, you can use the fraction 1/2 to get (1/2) * (2 + 4) - 3 = 24.**Using Exponents:**Exponents can also be used, but they are more advanced and are not as commonly used. For example, if you are trying to make 24 with the numbers 2, 3, 5, and 7, you can use the exponent 3 to get 2^3 * (5 + 7) = 24.

* Note: The above content has inputs from Bard, the AI model from Google. *