Mastering Basic Multiplication: The Product of 12 and 9

What is the product of the numbers 12 and 9?

• A. 81
• B. 108
• C. 99
• D. 72

Answer: (B)

The product of two numbers is found by multiplying them together. In this case, multiplying 12 by 9 can be approached as follows: Starting with 12, when multiplied by 9, you can think of it as adding 12 together 9 times: - 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 After performing this addition, you'll arrive at 108. Another way to verify this is by breaking it down: 9 can be rewritten using the distributive property as (10 minus 1), allowing calculation as 12 * 10 - 12 * 1 = 120 - 12 = 108. Hence, the correct answer is indeed 108, representing the complete calculation process leading to the product of the numbers 12 and 9.

Have you ever found yourself staring at a math problem, wondering how to approach it? Let’s break down something that seems simple yet is foundational to your understanding of math: multiplication. Today, we’re focusing on finding the product of 12 and 9. It might sound elementary, but it's a stepping stone to greater math mastery.

So, what's the product of 12 and 9? Drumroll, please—the answer is 108! But how do we arrive at that number? It’s not just about recalling facts; it’s about understanding the process behind the numbers—something crucial for the California Assessment of Student Performance and Progress (CAASPP) Math Exam.

Digging into Multiplication

You know, multiplication can feel like a puzzle at first. Generally, the product of two numbers is found by multiplying them together. In our case, we can think of it as adding 12 together 9 times. Picture this:

• 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12

If you tally that up, guess what you’ll get? Yep, you got it—108!

But let’s take it a step further, because that’s not the only way to unravel this mystery. Here’s another handy tool in your math kit: the distributive property. It sounds fancy, but it’s really just about breaking things down. We can see 9 as (10 - 1). So, we calculate it like this:

12 * 9 can transform into 12 * (10 - 1), which then becomes:

12 * 10 - 12 * 1 = 120 - 12 = 108.

Voila! The number shines back at us. It’s pretty cool, right?

Why This Matters

Now, why should you care about mastering this kind of multiplication, especially when gearing up for the CAASPP? Simple. Whether you're crunching numbers for math problems or hoping to understand real-world applications—like budgeting or even cooking—that solid grasp on basic multiplication can save you time and headaches later.

Think about it: it’s not just numbers; it’s confidence! You walk into your math exam, and instead of worrying about whether you’ll remember the facts, you can tackle each problem with clarity.

Tips to Keep in Mind

To wrap this up and keep your learning fresh, here are a few tips:

• Practice regularly—working on different multiplication problems helps reinforce your skills and builds familiarity with the structure.

• Visualize—sometimes drawing it out or using countable objects (like blocks or beads) can clarify the concept.

• Use math games—there are plenty out there! They make learning fun and keep you engaged while honing your skills.

The world of math can often feel daunting, but remember, each little step helps pave the way for bigger concepts. Whether it's mastering the product of 12 and 9 or tackling algebraic equations, every bit of dedicated practice counts.

So, what are you waiting for? Arm yourself with these tools, keep practicing, and you might just surprise yourself on your next math endeavor.

And who knows? When you approach problems with a positive mindset, every multiplication becomes an adventure rather than a chore. You'll find learning math can be as satisfying as solving a thrilling mystery!

Stay focused, keep asking questions, and enjoy the ride. Happy studying!