One Easy Way To Calculate 67 Times 494

Multiplication can be a daunting task, especially when dealing with large numbers. However, there are various techniques and tricks that can make this process easier and more manageable. In this article, we will explore a simple method to calculate 67 times 494, using the distributive property of multiplication.

Breaking Down the Problem

Before we dive into the calculation, let's break down the problem into smaller, more manageable parts. We can rewrite 67 as (60 + 7) and 494 as (400 + 90 + 4). This will allow us to use the distributive property of multiplication, which states that a(b + c) = ab + ac.

Applying the Distributive Property

Now that we have broken down the numbers, we can apply the distributive property to simplify the calculation. We can rewrite the multiplication as:

(60 + 7) × (400 + 90 + 4)

Using the distributive property, we can expand this as:

60 × 400 + 60 × 90 + 60 × 4 + 7 × 400 + 7 × 90 + 7 × 4

This may look like a lot of calculations, but it's actually quite manageable. Let's break it down further:

60 × 400 = 24,000 60 × 90 = 5,400 60 × 4 = 240 7 × 400 = 2,800 7 × 90 = 630 7 × 4 = 28

Adding Up the Results

Now that we have calculated each part, we can add up the results to find the final answer.

24,000 + 5,400 = 29,400 29,400 + 240 = 29,640 29,640 + 2,800 = 32,440 32,440 + 630 = 33,070 33,070 + 28 = 33,098

Therefore, 67 times 494 is equal to 33,098.

Conclusion

Calculating 67 times 494 can seem like a daunting task, but by breaking down the numbers and using the distributive property of multiplication, we can make the process much easier. By following these simple steps, you can calculate this multiplication problem with ease. Remember to always break down complex problems into smaller parts and use the distributive property to simplify your calculations.

Now that you have learned this technique, try applying it to other multiplication problems. With practice, you will become more confident and proficient in your ability to calculate complex multiplications. Don't be afraid to challenge yourself and try new things – and most importantly, have fun learning!

Take Action

Try calculating other multiplication problems using the distributive property. Start with simple problems and gradually move on to more complex ones. You can also try using this technique to calculate divisions, as it can be a useful tool in simplifying complex calculations.

Share your thoughts and experiences with us in the comments section below. Do you have any favorite multiplication techniques or tricks? Share them with us, and let's learn together!

Don't forget to share this article with your friends and family who may find this technique helpful. By spreading the word, we can help each other become more confident and proficient in our mathematical abilities.

Keep practicing, and happy learning!

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