Calculate 15 5 15-10

This calculator helps you solve the arithmetic expression "15 5 15-10" by following the correct order of operations. Learn how to perform the calculation step-by-step and understand the result.

How to Calculate 15 5 15-10

The expression "15 5 15-10" is an arithmetic problem that requires careful evaluation of the order of operations. According to standard mathematical conventions, multiplication and division have higher precedence than addition and subtraction.

Order of Operations

Remember PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to solve arithmetic expressions correctly.

In this case, the expression can be interpreted as either:

15 multiplied by 5, then 15 minus 10 (15 × 5 - 10)
15 multiplied by (5 - 10) (15 × (5 - 10))

Without parentheses, the first interpretation is correct because multiplication has higher precedence than subtraction.

Step-by-Step Calculation

Let's solve the expression step by step:

First, perform the multiplication: 15 × 5 = 75
Then, perform the subtraction: 75 - 10 = 65

Formula Used

Result = (First Number × Second Number) - Third Number

For 15 5 15-10: Result = (15 × 5) - 10 = 65

The final result of calculating 15 5 15-10 is 65.

Interpreting the Result

The result of 65 means that when you multiply 15 by 5, you get 75, and then subtracting 10 from that gives you 65. This calculation is straightforward but demonstrates the importance of following the correct order of operations.

Common Mistakes

Some might mistakenly calculate this as 15 × (5 - 10) = 15 × (-5) = -75, but this is incorrect because the subtraction should be performed after the multiplication.

Understanding the order of operations is crucial in arithmetic and more complex mathematical problems. Always remember PEMDAS to ensure accurate calculations.

Frequently Asked Questions

What is the correct way to calculate 15 5 15-10?: First multiply 15 by 5 to get 75, then subtract 10 to get 65. The correct result is 65.
Why is the order of operations important in this calculation?: The order of operations ensures that multiplication is performed before subtraction, which gives the correct result of 65 instead of -75.
What happens if I ignore the order of operations?: Ignoring the order of operations would lead to incorrect results. For example, calculating 15 × (5 - 10) would give -75 instead of the correct 65.
Can I use parentheses to change the calculation order?: Yes, adding parentheses around (5 - 10) would change the calculation to 15 × (5 - 10) = -75, but this is not the standard interpretation of the expression.
Is there a difference between 15 5 15-10 and 15 × 5 - 10?: No, both expressions represent the same calculation: first multiply 15 by 5, then subtract 10, resulting in 65.