Math Problem Solutions: Step-by-Step Guide

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Hey guys! Let's dive into these math problems together. We're going to break down each one, so it's super easy to follow along. Math can be a bit intimidating sometimes, but don't worry, we'll make it fun and straightforward. Whether you're brushing up on your skills or tackling these problems for the first time, you've come to the right place. So, grab your calculators (or just your brains!), and let's get started!

Problem 1: 5641 - 9

Alright, let's kick things off with our first problem: 5641 - 9. When we're tackling subtraction, especially with larger numbers, it's always a good idea to break it down to make it less daunting. The key here is to understand place value – that's the value of each digit in a number. We've got thousands, hundreds, tens, and ones to think about.

So, how do we approach this? Well, we start by looking at the ones place. We're trying to subtract 9 from 1. Obviously, we can't do that directly, right? That's where borrowing comes in. We need to borrow from the tens place. But wait, there's a 4 in the tens place, so we can borrow 10 from there. This leaves us with 3 in the tens place and turns our 1 in the ones place into 11. Now we can subtract!

11 minus 9 is 2. Great! We've got our ones place sorted. Now, let's move on to the tens place. Remember, we borrowed 10 from the 4, so we now have 3 in the tens place. There's nothing to subtract in the tens place for the number 9, so the 3 just comes down.

Next up, we look at the hundreds and thousands places. There's nothing to subtract from the 6 in the hundreds place and the 5 in the thousands place, so they come down as well. And there you have it! 5641 - 9 equals 5632. See? Not so scary when we break it down step by step.

Therefore, the solution to 5641 - 9 is 5632. Always double-check your work, guys. It’s a good habit to get into. Next problem, here we come!

Problem 2: 1939 - 79

Okay, let's tackle our second problem: 1939 - 79. This one's similar to the last one, but we've got a little more to think about in the tens place. Remember, the key to subtraction is keeping those place values in mind – thousands, hundreds, tens, and ones. It's like a puzzle, and we're just figuring out where each piece goes.

So, where do we start? Just like before, we begin in the ones place. We need to subtract 9 from 9. Easy peasy, right? 9 minus 9 is 0. So, we’ve got our ones place sorted.

Now, let's move on to the tens place. Here, we're subtracting 7 from 3. Uh-oh, 3 is smaller than 7. What do we do? You guessed it – we need to borrow! We're going to borrow 10 from the hundreds place. The hundreds place has a 9 in it, so we can definitely borrow from there. When we borrow 10 from the hundreds place, it becomes an 8, and our 3 in the tens place turns into 13.

Now we can subtract in the tens place: 13 minus 7. What’s that? It’s 6! So, we put a 6 in the tens place. Moving right along, let’s look at the hundreds place. Remember, we borrowed 1 from the 9, so we now have an 8. There's nothing to subtract from the hundreds place in the number 79, so the 8 just comes down.

And finally, we check the thousands place. We have a 1 there, and nothing to subtract from it, so the 1 also comes down. So, what's our final answer? 1939 - 79 = 1860. You got it! We’re on a roll here, guys. Let's keep this momentum going!

Therefore, the solution to 1939 - 79 is 1860. Don't forget to take a quick look to make sure everything adds up. On to the next one!

Problem 3: 2084 - 1308

Alright, guys, let's jump into the third problem: 2084 - 1308. This one looks a bit bigger, but don't let those numbers scare you. We're going to use the same strategy – breaking it down place by place. Thousands, hundreds, tens, ones – we've got this!

So, let's get started. Where do we always begin? The ones place, of course! We need to subtract 8 from 4. Hmm, 4 is smaller than 8, so what do we need to do? That’s right, we need to borrow. We’re going to borrow 10 from the tens place. Luckily, there’s an 8 in the tens place, so we can definitely borrow from there. The 8 becomes a 7, and our 4 in the ones place turns into 14.

Now we can subtract in the ones place: 14 minus 8. What does that give us? It's 6! Perfect. So, we put a 6 in the ones place. Time to move on to the tens place. We now have 7 in the tens place, and we need to subtract 0. That's easy! 7 minus 0 is just 7. So, we put a 7 in the tens place.

Next, let's tackle the hundreds place. We have a 0 in the hundreds place, and we need to subtract 3. Uh-oh, 0 is smaller than 3. Time to borrow again! We're going to borrow from the thousands place. The thousands place has a 2, so we can borrow 1000 from there. This turns the 2 into a 1, and our 0 in the hundreds place becomes 10.

Now we can subtract in the hundreds place: 10 minus 3. What’s the answer? It’s 7! We put a 7 in the hundreds place. Last but not least, let’s look at the thousands place. We now have a 1, and we need to subtract 1. 1 minus 1 is 0. Great job!

So, what’s our final answer? 2084 - 1308 = 776. You nailed it! We’re really making progress here. Remember, each problem is just a series of steps. Keep breaking it down, and you’ll get there.

Therefore, the solution to 2084 - 1308 is 776. Always give your answer a quick once-over to be sure. On to the next challenge!

Problem 4: 976 - 1238 = 6738 + 18 + 18

Okay, guys, this one looks a bit different, but let's not get intimidated. We have an equation here: 976 - 1238 = 6738 + 18 + 18. The first thing we need to do is simplify each side of the equation separately. This will help us understand what's really going on.

Let's start with the left side: 976 - 1238. This looks like a subtraction problem where we’re taking a larger number away from a smaller number. When this happens, we know our answer is going to be negative. So, how do we solve it? A neat trick is to switch the numbers around and then remember to make our answer negative at the end. So, instead of 976 - 1238, we'll think about 1238 - 976.

Let's subtract! Starting in the ones place, we subtract 6 from 8. That’s 2. In the tens place, we subtract 7 from 3. Uh-oh, we need to borrow! We borrow 100 from the hundreds place, making the 2 in the hundreds place a 1 and turning our 3 in the tens place into 13. Now we subtract 7 from 13, which gives us 6. Moving to the hundreds place, we subtract 9 from 1 (remember, we borrowed 1), so we need to borrow again! We borrow 1000 from the thousands place (which is just 1 in this case), making the 1 a 0 and turning our 1 in the hundreds place into 11. 11 minus 9 is 2. So, 1238 - 976 = 262. But remember, we switched the numbers, so our answer for 976 - 1238 is actually -262.

Phew! That was a bit of work. Now, let's tackle the right side of the equation: 6738 + 18 + 18. This is just addition, which should be a bit more straightforward. We can add these numbers in any order, but let's just go from left to right. First, we add 6738 and 18. When we add them up, we get 6756. Now we need to add another 18 to that. 6756 + 18 equals 6774.

So, our original equation now looks like this: -262 = 6774. Wait a second… this doesn’t look right, does it? The equation is not balanced. -262 is definitely not equal to 6774. It seems like there might have been a mistake in the original problem or in our interpretation of it. Sometimes, spotting an error is just as important as solving the problem itself!

Therefore, the equation 976 - 1238 = 6738 + 18 + 18 is not correct as it stands. It’s a great reminder to always double-check the problem and your work. Great job sticking with it, guys!

So there you have it! We've tackled some tricky subtraction and addition problems. Remember, the key is to break things down, pay attention to those place values, and don't be afraid to borrow when you need to. And most importantly, always double-check your work. You guys are doing awesome! Keep practicing, and you'll be math whizzes in no time!