Solve 100:5² + 3²: Order of Operations Challenge

To solve the expression $100:5^2+3^2=$, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Here, we have division, exponentiation, and addition to work with.

Step 1: Calculate the exponentiation first.

• Calculate $5^2$: $5 \times 5 = 25$.
• Calculate $3^2$: $3 \times 3 = 9$.

So, the expression becomes $100:25+9$.

Step 2: Perform the division next, which comes before addition.

• Divide $100$ by $25$: $100 \div 25 = 4$.

Now the expression simplifies to $4 + 9$.

Step 3: Perform the addition.

• Add $4$ and $9$: $4 + 9 = 13$.

Therefore, the final result of the expression $100:5^2+3^2$ is $13$.