Solve Mixed Operations: 10:2 - 2² Step by Step

The given mathematical expression is $10:2-2^2$.

According to the order of operations (often remembered by the acronym PEMDAS/BODMAS), we perform calculations in the following sequence:

• Parentheses/Brackets
• Exponents/Orders (i.e., powers and roots)
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

In this expression, there are no parentheses, but there is an exponent: $2^2$. We calculate the exponent first:

$2^2 = 4$

Substituting back into the expression, we have:

$10:2-4$

Next, we perform the division from left to right. Here, ":" is interpreted as division:

$10 \div 2 = 5$

Now, substitute this back into the expression:

$5 - 4$

The final step is to perform the subtraction:

$5 - 4 = 1$

Therefore, the answer is $1$.