Question

1. write your own numerical expression that equals 20 using at least three different operations (addition, multiplication, exponents, etc.).

Explanation:

Step1: Choose operations and numbers

We can use exponentiation (e.g., \(2^2\)), multiplication (e.g., \(2\times3\)), and addition (e.g., + 8) to form the expression.

Step2: Construct the expression

Let's build the expression step by step. First, calculate the exponent: \(2^2 = 4\). Then, multiply: \(4\times3 = 12\). Finally, add: \(12 + 8 = 20\). Combining these operations, we get the expression \(2^2\times3 + 8\).

Step3: Verify the expression

Calculate \(2^2\times3 + 8\):
First, \(2^2 = 4\). Then, \(4\times3 = 12\). Then, \(12 + 8 = 20\). So the expression works.

Answer:

\(2^2\times3 + 8\) (Other valid expressions like \(3^2 + 2\times\frac{11}{2}\) or \(5^2 - 2\times\frac{5}{2}\) are also acceptable as long as they use at least three different operations and equal 20.)