Let's Break Down This Ontario Math Expression Together

Let’s Break This Down Together

You might find yourself staring at a math problem and thinking, “What am I even looking at?” Well, let’s take a closer look together, especially with topics frequently tested in the Ontario Math Proficiency Test. Today, we’re examining a fun little expression: Evaluate ( 10^2 + 5 \times 8 ).

Got Numbers? Let’s Tackle This Step by Step!

First things first, we’ve got some choices here to choose from:

• A. 80
• B. 90
• C. 70
• D. 100

Now, before jumping into those choices, let’s figure out how to evaluate the expression. Trust me; it’ll be easier than you think! By applying 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)—we’re setting ourselves up for success!

Step 1: Rise and Shine for Exponents

We start with the exponential part—for our problem, it’s (10^2). Here we make that powerful little number shine:

[ 10^2 = 100 ]

That was easy, right? Now we have 100.

Step 2: Multiply It Out, Baby!

Next up is multiplication—let’s tackle (5 \times 8):

[ 5 \times 8 = 40 ]

Now we’re armed with two solid numbers: 100 from our exponent and 40 from the multiplication.

Step 3: Add It All Together

Now it’s time to combine forces—let’s add those numbers:

[ 100 + 40 = 140 ]

But wait! Here’s where things get a little tricky—the calculation gives us 140. Now, if we look back at the original answer choices, we’re left scratching our heads wondering... what happened? None of the options match our calculated total.

What Happens Here?

This is an excellent opportunity to emphasize just how vital it is to double-check everything! Make sure you’re not missing any nuances in the question or additional rules that might apply. The method we used to evaluate—PEMDAS—is still rock solid!

Final Thoughts: Wrapping It Up

When tackling math on the Ontario Mathematics Proficiency Test, don’t forget the power of PEMDAS. What seemed simple can sometimes lead you down a puzzling path. So, the next time you see a question, whether it’s a straightforward expression or something more complex, remember to take a deep breath and follow the order of operations closely. You’ve got this!

Feel free to use these problem-solving strategies not just for tests but in everyday life too! It’s all about sharpening those mathematical skills for whatever comes next. Who knew math could lead to such intriguing surprises?