Calculate: 47 - 11, 103 × 64, 403 × 97 - Math Problem

by ADMIN 54 views

Hey guys! Today, we're diving into some basic arithmetic problems. We'll be tackling subtraction and multiplication, so get your thinking caps on! We've got three problems to solve: a) 47 - 11, b) 103 × 64, and c) 403 × 97. Let's break each one down step by step.

a) 47 - 11

When we're dealing with subtraction, it's all about finding the difference between two numbers. In this case, we need to subtract 11 from 47. This is a straightforward subtraction problem that we can solve pretty easily. Think of it like taking away 11 things from a group of 47 things. How many are left? Let's dive into solving this, focusing on clarity and understanding each step. Our primary goal here is to ensure that everyone, regardless of their math background, can follow along and grasp the method used to arrive at the solution. Subtraction is one of the fundamental arithmetic operations, and mastering it lays a solid foundation for tackling more complex mathematical problems in the future. So, let's get started and break down 47 - 11. We will start by writing down the problem:

  47
- 11
------

Now, we subtract the numbers in the ones place (the rightmost column). We have 7 - 1, which equals 6. So, we write 6 in the ones place of our answer:

  47
- 11
------
   6

Next, we move to the tens place (the column to the left). We have 4 - 1, which equals 3. We write 3 in the tens place of our answer:

  47
- 11
------
  36

So, 47 - 11 = 36. There you have it! Subtraction can be quite simple when you break it down place by place. It’s like unwrapping a present layer by layer to reveal the treasure inside. In math, the treasure is the answer, and the layers are the steps you take to get there.

Answer: 47 - 11 = 36

b) 103 × 64

Now, let's move on to multiplication. Multiplication is like repeated addition. When we multiply 103 by 64, we're essentially adding 103 to itself 64 times. Of course, we're not going to do that manually! Instead, we'll use the standard multiplication method. This involves multiplying each digit of one number by each digit of the other number and then adding the results. It might seem a bit complicated at first, but don't worry, we'll break it down into manageable steps. This problem is a classic example of how multiplication works, and mastering it will help you solve all sorts of multiplication problems. We'll show each step in detail, making sure to keep things easy to follow and understand. Our goal is to make you feel confident and capable when tackling similar problems in the future. So, let's dive in and see how to multiply 103 by 64. First, we set up the problem:

  103
× 64
-----

We start by multiplying 103 by the ones digit of 64, which is 4. We multiply 4 by each digit of 103, starting from the right:

  • 4 × 3 = 12. We write down 2 and carry over 1.
  • 4 × 0 = 0. Add the carried-over 1 to get 1. We write down 1.
  • 4 × 1 = 4. We write down 4.

So, the first partial product is 412. We write this down:

  103
× 64
-----
  412

Next, we multiply 103 by the tens digit of 64, which is 6. Since we're multiplying by the tens digit, we add a 0 as a placeholder in the ones place of the next partial product:

  103
× 64
-----
  412
 0

Now, we multiply 6 by each digit of 103, starting from the right:

  • 6 × 3 = 18. We write down 8 and carry over 1.
  • 6 × 0 = 0. Add the carried-over 1 to get 1. We write down 1.
  • 6 × 1 = 6. We write down 6.

So, the second partial product is 6180. We write this down:

  103
× 64
-----
  412
6180

Finally, we add the two partial products:

  412
+6180
-----
6592

So, 103 × 64 = 6592. Multiplication might look intimidating, but when you break it down into smaller steps, it becomes much easier to manage. It’s like building a house brick by brick – each step is important, and together they create something amazing. Keep practicing, and you’ll become a multiplication master in no time!

Answer: 103 × 64 = 6592

c) 403 × 97

Alright, let's tackle our final problem: 403 × 97. This is another multiplication problem, but it involves slightly larger numbers, so we'll need to be extra careful with our calculations. Just like before, we'll break it down into smaller, more manageable steps. We'll multiply each digit of one number by each digit of the other number, and then add the results. This might seem a bit daunting at first glance, but trust me, with a little patience and attention to detail, we can solve it. This problem is a great exercise for solidifying your multiplication skills, and it will help you build confidence in your ability to handle larger numbers. We’ll guide you through each step, making sure you understand the process. So, let’s get started and see how to multiply 403 by 97. We start by setting up the multiplication problem:

  403
× 97
-----

First, we multiply 403 by the ones digit of 97, which is 7. We multiply 7 by each digit of 403, starting from the right:

  • 7 × 3 = 21. We write down 1 and carry over 2.
  • 7 × 0 = 0. Add the carried-over 2 to get 2. We write down 2.
  • 7 × 4 = 28. We write down 28.

So, the first partial product is 2821. We write this down:

  403
× 97
-----
 2821

Next, we multiply 403 by the tens digit of 97, which is 9. Since we're multiplying by the tens digit, we add a 0 as a placeholder in the ones place of the next partial product:

  403
× 97
-----
 2821
 0

Now, we multiply 9 by each digit of 403, starting from the right:

  • 9 × 3 = 27. We write down 7 and carry over 2.
  • 9 × 0 = 0. Add the carried-over 2 to get 2. We write down 2.
  • 9 × 4 = 36. We write down 36.

So, the second partial product is 36270. We write this down:

  403
× 97
-----
 2821
36270

Finally, we add the two partial products:

 2821
+36270
-----
39091

So, 403 × 97 = 39091. See? Even with larger numbers, the process is the same. Just take it one step at a time, and you'll get there. It's like climbing a staircase – each step brings you closer to the top. With practice, you'll be able to tackle even the most challenging multiplication problems with confidence.

Answer: 403 × 97 = 39091

Conclusion

Great job, everyone! We've successfully calculated all three problems: 47 - 11 = 36, 103 × 64 = 6592, and 403 × 97 = 39091. Remember, the key to solving math problems is to break them down into smaller, more manageable steps. Whether it's subtraction or multiplication, taking things one step at a time will help you arrive at the correct answer. And most importantly, practice makes perfect! The more you practice, the more confident and skilled you'll become in math. Keep up the great work, and I'll see you next time for more math adventures! Keep practicing these calculations, and you'll become a math whiz in no time! Remember, math is like a muscle – the more you use it, the stronger it gets. So, keep exercising your brain, and you'll be amazed at what you can achieve! Until next time, keep those numbers crunching!