Marbles Math: How Many Does Each Boy Get?

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Marbles Math: How Many Does Each Boy Get?

Let's dive into a fun math problem! We're going to figure out how to divide a bunch of marbles equally among a group of boys. It's a classic division problem, and we'll break it down step by step. So, grab your thinking caps, guys, and let's get started!

The Marbles Problem

So, here's the deal: We've got 35 boys, and they're sharing 21035 marbles. The big question is, if they split the marbles perfectly evenly, how many marbles does each boy end up with? This is a classic division problem, where we need to divide the total number of marbles by the number of boys. Sounds simple, right? Well, let's make sure we get it right.

Keywords to keep in mind: division, marbles, equal share

Setting Up the Division

To solve this, we need to perform the division: 21035 ÷ 35. You might be able to punch this into a calculator, but understanding how to do it manually is super helpful. It reinforces your understanding of division and number relationships. Plus, you never know when you might be stuck without a calculator! So, let's go through the process step by step.

Performing the Division

When we divide 21035 by 35, we are trying to figure out how many times 35 fits into 21035. We can set it up like a long division problem. First, we look at the first few digits of 21035 to see if 35 can fit into them. 35 doesn't fit into 2, nor does it fit into 21. But 35 does fit into 210. How many times? Well, we can estimate. 35 is close to 30, and 210 is 210. So, 30 goes into 210 about 7 times. Let's try multiplying 35 by 6.

  • 35 x 6 = 210.

Great! So, 35 goes into 210 exactly 6 times. We write the 6 above the 0 in 21035. Now, we subtract 210 from 210, which leaves us with 0. Then we bring down the next digit, which is 3. Now we have 3. Does 35 go into 3? Nope, it's too small. So, we write a 0 above the 3 in 21035. Now we bring down the next digit, which is 5. Now we have 35. How many times does 35 go into 35? Exactly once. So we write a 1 above the 5 in 21035. Then we subtract 35 from 35, which leaves us with 0. And we're done!

The Answer

So, after performing the division, we find that 21035 ÷ 35 = 601. That means each boy will get 601 marbles. Not bad, right? Everyone gets a fair share, and there are no marbles left over.

Why This Matters

You might be thinking, "Okay, cool, I can divide marbles. But why does this even matter?" Well, understanding division is super important in everyday life. We use it for all sorts of things, like:

  • Splitting the cost of a pizza with friends.
  • Calculating how much time you need to spend on each homework assignment.
  • Figuring out how many ingredients you need to bake a cake for a certain number of people.
  • Even understanding statistics and data in the news.

Division is everywhere! And the better you understand it, the easier it will be to solve real-world problems. So, keep practicing those division skills, guys!

Common Mistakes to Avoid

When you're doing division problems like this, it's easy to make mistakes. Here are a few common pitfalls to watch out for:

  • Forgetting to bring down digits: Make sure you bring down every digit in the number you're dividing, one at a time. This is a super common mistake, especially when there are zeros involved.
  • Misplacing the decimal point: This is more relevant when you're dividing decimals, but it's still important to be aware of. Make sure you keep track of where the decimal point is and move it correctly.
  • Making arithmetic errors: It's easy to make a simple addition, subtraction, multiplication, or division error, especially when you're working with big numbers. Double-check your work to make sure you haven't made any mistakes.
  • Skipping steps: When you're learning, it's important to write out every step of the division process. This will help you avoid making mistakes and understand what you're doing.

Practice Problems

Want to get even better at dividing? Here are a few practice problems you can try:

  1. If 12 girls share 3648 stickers equally, how many stickers will each girl get?
  2. If 25 students raise $1500 for a school trip, how much money did each student raise on average?
  3. If 42 workers produce 10500 products in a day, how many products does each worker produce on average?

Try solving these problems on your own, and then check your answers with a calculator. The more you practice, the better you'll get!

Real-World Applications

Let's think about how division is used in the real world. Knowing how to divide things equally can be useful in so many situations. For example:

Sharing Food

Imagine you and your friends order a large pizza. The pizza has 12 slices, and there are 4 of you. How many slices does each person get? 12 / 4 = 3 slices per person. Understanding division ensures everyone gets a fair share, avoiding any pizza-related arguments!

Planning a Trip

Let's say you're planning a road trip with friends. You know the total distance you need to drive is 600 miles, and you want to split the driving equally among 3 drivers. How many miles does each person drive? 600 / 3 = 200 miles per person. This way, everyone knows their responsibility and the trip goes smoothly.

Managing Money

Budgeting involves division. If you earn $100 a week and want to save 20% of it, you need to calculate how much money that is. 20% of $100 is (20/100) * 100 = $20. So, you save $20 and have $80 left for other expenses. Division helps you manage your money effectively.

Calculating Averages

Division is essential for calculating averages. Suppose you took four exams and scored 80, 90, 85, and 95. To find your average score, you add the scores and divide by the number of exams: (80 + 90 + 85 + 95) / 4 = 350 / 4 = 87.5. Your average score is 87.5. Averages give you an overall sense of performance.

Cooking and Baking

Recipes often need to be adjusted. If a recipe for a cake serves 8 people, but you only need to serve 4, you need to divide all the ingredients by 2. If the recipe calls for 2 cups of flour, you would use 1 cup. Division helps you adjust recipes accurately.

Conclusion

So, there you have it! Dividing marbles (or anything else) is a fundamental math skill that comes in handy all the time. By understanding the process and practicing regularly, you'll be able to solve all sorts of division problems with confidence. Keep up the great work, guys, and remember that math can be fun!

The answer to the question "If 35 boys share 21035 marbles equally, what is the number of marbles each boy will get?" is D. 601