Math Problems: Solving 45-20 And 12x18

Hey guys! Let's dive into some math problems today. We're going to tackle two questions: first, what's the result of 45 minus 20, and second, what's the result of 12 multiplied by 18. Math can seem intimidating, but trust me, we'll break it down step by step so it’s super easy to follow. So, grab your thinking caps, and let’s get started!

Breaking Down 45 - 20

When we look at basic subtraction, it's all about taking away one number from another. In this case, we want to find out what happens when we subtract 20 from 45. Think of it like this: if you have 45 candies and you give away 20, how many candies do you have left? That’s the question we're answering. This is a fundamental concept in arithmetic, and mastering it can really help you in everyday situations, from calculating change at the store to figuring out how much time you have left before an appointment. Let's get into how we solve this problem step by step.

Step-by-Step Solution for 45 - 20

Okay, let’s break down how to solve 45 - 20. We can do this using a simple, straightforward method that anyone can follow. First, consider the tens place. We have 4 tens in 45, which is 40, and 2 tens in 20, which is 20. So, we subtract the tens: 40 - 20 = 20. Next, we look at the ones place. In 45, we have 5 ones, and in 20, we have 0 ones. So, we subtract the ones: 5 - 0 = 5. Finally, we add the results from the tens and ones places: 20 + 5 = 25. Therefore, 45 - 20 equals 25. See? It's as simple as breaking it down into smaller, manageable parts. This method not only makes subtraction easier but also helps in understanding the place value of numbers.

Why 25 is the Right Answer (Option D)

So, we've worked through the problem, and we've arrived at the answer: 45 - 20 = 25. Now, let’s look at the options provided: A. 55, B. 45, C. 35, D. 25, and E. √√5. It’s pretty clear which one is correct, right? Option D, 25, is the result we calculated. Options A, B, and C are incorrect because they don't reflect the accurate difference between 45 and 20. Option E, √√5, is a bit of a trick – it’s a square root within a square root, which definitely doesn't fit our simple subtraction problem. So, the correct answer is D. 25. Understanding why other options are wrong is just as important as knowing why the correct answer is right. It helps solidify your grasp on the concept. When you practice these kinds of problems, try to think through why each wrong answer is incorrect – this will boost your math skills even more!

Tackling 12 x 18

Now that we've nailed subtraction, let's move on to multiplication. We need to figure out what 12 times 18 is. Multiplication is essentially repeated addition, but when we're dealing with larger numbers, it’s way more efficient to use multiplication techniques. Multiplying numbers like 12 and 18 might seem a bit daunting at first, but don't worry, we're going to use a simple method to make it super clear. Just like with subtraction, breaking down the problem into smaller steps is the key. Once you get the hang of it, you’ll be multiplying numbers like a pro. Let’s dive in and see how it’s done!

Step-by-Step Solution for 12 x 18

Alright, let’s tackle 12 x 18 step by step. We can use the standard multiplication method, which is super reliable. First, we multiply 18 by the ones digit of 12, which is 2. So, 2 x 18 = 36. Write that down. Next, we multiply 18 by the tens digit of 12, which is 1 (or 10, really). So, 10 x 18 = 180. Write that down below the 36, but make sure you shift it one place to the left (this is because we're multiplying by 10). Finally, we add the two results together: 36 + 180. If you add those up, you get 216. So, 12 x 18 = 216. Isn't it cool how we broke down a seemingly complex problem into easier steps? This method works for multiplying any two numbers, big or small. Practicing this will make you much more confident with multiplication!

Alternative Method: Breaking Down the Numbers

Here’s another way to think about 12 x 18, which might click better for some of you. Instead of using the standard multiplication method, we can break down the numbers into their parts and then multiply. Think of 12 as (10 + 2) and 18 as (10 + 8). Now, we’re going to use the distributive property, which means we multiply each part of the first number by each part of the second number. First, multiply 10 (from 12) by 10 (from 18): 10 x 10 = 100. Next, multiply 10 (from 12) by 8 (from 18): 10 x 8 = 80. Then, multiply 2 (from 12) by 10 (from 18): 2 x 10 = 20. Finally, multiply 2 (from 12) by 8 (from 18): 2 x 8 = 16. Now, add up all the results: 100 + 80 + 20 + 16. When you add those together, you get 216. This method shows you how breaking numbers down can make multiplication less scary and more manageable. It’s like tackling a puzzle – piece by piece!

Real-World Applications

Okay, we've solved these problems, but you might be thinking,