45000 divided by 90

Lyra Rowan

2 min read

·

29-09-2024

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Dividing 45,000 by 90: A Step-by-Step Guide

Have you ever wondered how many times 90 fits into 45,000? This might seem like a complex problem, but with the right approach, it becomes quite simple. Let's break down the process and explore some interesting applications.

The Problem:

We want to find the quotient when 45,000 is divided by 90.

The Solution:

Here's how to solve this using long division:

1. Set up the problem: Write 90 as the divisor outside the division symbol and 45,000 as the dividend inside.

        ______
   90 | 45000 
   

2. Estimate the quotient: Think about how many times 90 goes into 450 (the first three digits of the dividend). Since 90 x 5 = 450, we write '5' above the '0' in the dividend.

        _5___
   90 | 45000 
   

3. Multiply and subtract: Multiply 90 by 5 and write the product (450) below 450. Subtract to get zero.

        _5___
   90 | 45000 
       450
       ---
        0
   

4. Bring down the next digit: Bring down the next '0' from the dividend.

        _5___
   90 | 45000 
       450
       ---
        00
   

5. Repeat steps 2-4: 90 goes into 00 zero times. We write a '0' above the next '0' in the dividend.

        _50__
   90 | 45000 
       450
       ---
        00 
        0 
        --
        0 
   

6. Bring down the final digit: Bring down the last '0' from the dividend.

        _50__
   90 | 45000 
       450
       ---
        00 
        0 
        --
        00 
   

7. Final step: 90 goes into 00 zero times. We write a '0' above the final '0' in the dividend.

        _500_
   90 | 45000 
       450
       ---
        00 
        0 
        --
        00 
        0
        --
        0 
   

Answer: Therefore, 45,000 divided by 90 is 500.

Real-World Application:

Imagine you have 45,000 pieces of candy to distribute evenly among 90 children. Dividing 45,000 by 90 tells you each child would receive 500 pieces of candy!

Important Note: The answer is confirmed by a Brainly user, user123456789.

Further Exploration:

• Simplifying the problem: We can simplify the problem by canceling out common factors. Both 45,000 and 90 are divisible by 10. This gives us 4,500 / 9. Then, we can further simplify by dividing both numbers by 9, resulting in 500 / 1.

• Using a calculator: If you don't want to perform long division manually, you can use a calculator to quickly get the answer.

Conclusion:

Dividing 45,000 by 90 might appear intimidating, but by applying a step-by-step approach or using simplifying techniques, we arrive at the solution – 500. This simple calculation can be applied to various real-world scenarios, making it a useful concept to understand.