Finding the Solution to 110-10*10+10 Without a Calculator

Math problems like these can appear simple at first glance but often trick us into making mistakes if we don’t follow the correct order of operations. If you’re trying to solve 110 – 10 * 10 + 10 without a calculator, the key is to remember the fundamental math rule: PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This rule ensures that the operations are performed in the correct order, which is crucial for solving the problem correctly.

Let’s break it down step by step to make it easier to understand.

Step 1: Apply Multiplication First

In the expression 110 – 10 * 10 + 10, multiplication takes priority over addition and subtraction. So, before doing anything else, multiply 10 by 10, which gives us:

10 * 10 = 100

Now, the equation looks like this:

110 – 100 + 10

Step 2: Perform Subtraction Next

Once we’ve completed the multiplication, the next step is to handle the subtraction. Subtract 100 from 110:

110 – 100 = 10

Now, the equation is simplified to:

10 + 10

Step 3: Finally, Add the Remaining Numbers

The final step is simply to add the remaining numbers together:

10 + 10 = 20

So, the answer to the problem 110 – 10 * 10 + 10 is 20.

Common Mistakes to Avoid

A common mistake people make when solving this type of problem is forgetting to apply the order of operations. For instance, some might be tempted to perform the subtraction and addition in the order they appear, solving the equation from left to right without prioritizing multiplication. This would result in:

110 – 10 = 100

100 * 10 = 1,000

1,000 + 10 = 1,010

However, as you can see, this is clearly incorrect because it ignores the rules of math that prioritize multiplication over addition and subtraction. If you’re not careful and forget PEMDAS, you can end up with the wrong answer.

Why PEMDAS Matters

The PEMDAS rule ensures that math problems are solved consistently and accurately. Multiplication and division are always prioritized before addition and subtraction, regardless of their position in the equation. Without this rule, we’d all be getting different answers for the same math problems.

Conclusion

Solving math problems without a calculator doesn’t have to be challenging, as long as you remember the basics. In this case, the correct application of the order of operations gives us a straightforward answer of 20. When faced with problems like this, take your time and follow the PEMDAS rule carefully to avoid common pitfalls.