How To Divide 5650 By 350: Step-by-Step Guide
Table of Contents :
To divide 5650 by 350, you can follow a systematic approach to make the process easier. Let's explore this step-by-step guide to ensure you grasp the concept thoroughly.
Understanding Division
Division is one of the four basic operations in mathematics, and it involves splitting a number into equal parts. In this case, we want to determine how many times 350 fits into 5650.
Step 1: Set Up the Division Problem
We can set up the division as follows:
__________
350 | 5650
Here, 5650 is the dividend (the number you want to divide), and 350 is the divisor (the number you are dividing by).
Step 2: Estimate How Many Times the Divisor Fits into the Dividend
Before performing the actual division, it’s helpful to estimate how many times 350 fits into 5650.
To do this, we can approximate 350 as 400 for easier calculation:
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How many 400s are in 5650?
Dividing, we have: [ 5650 \div 400 \approx 14.125 \text{ (we can round this to 14)} ]
Now, we know that 350 will fit approximately 16 times into 5650.
Step 3: Multiply the Estimated Quotient by the Divisor
Next, take your estimated quotient (14) and multiply it by the divisor (350):
[ 14 \times 350 = 4900 ]
Step 4: Subtract from the Dividend
Now, subtract this result from the original dividend:
[ 5650 - 4900 = 750 ]
Step 5: Divide Again
Now, you will take the remainder (750) and see how many times 350 fits into it.
In this case:
[ 750 \div 350 \approx 2.14 \text{ (you can fit 2 whole times)} ]
Step 6: Multiply the New Quotient by the Divisor
Now multiply 2 by 350:
[ 2 \times 350 = 700 ]
Step 7: Subtract Again
Subtract the result from the remainder:
[ 750 - 700 = 50 ]
Step 8: Combine Your Results
At this point, you have divided 5650 by 350, yielding a total of:
- First quotient: 14
- Second quotient: 2
Combining these, you have:
[ 14 + 2 = 16 ]
Thus, the complete answer to the division of 5650 by 350 is 16 with a remainder of 50.
Step 9: Write the Final Answer
You can express the final answer in different forms:
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As a decimal: To convert the remainder into a decimal, divide the remainder by the divisor:
[ \frac{50}{350} \approx 0.142857 \implies \text{approximately } 0.14 \text{ (rounded)} ]
So: [ 5650 \div 350 \approx 16.14 ]
- As a mixed number: You can also express the result as: [ 16 \frac{50}{350} \text{ or } 16 \frac{1}{7} ]
Important Notes
"Always double-check your calculations to ensure accuracy. Division may seem straightforward, but small mistakes can lead to incorrect answers."
Summary of Steps
Here's a quick recap of the steps to divide 5650 by 350:
<table> <tr> <th>Step</th> <th>Action</th> </tr> <tr> <td>1</td> <td>Set up the division problem</td> </tr> <tr> <td>2</td> <td>Estimate how many times 350 fits into 5650</td> </tr> <tr> <td>3</td> <td>Multiply the estimated quotient by the divisor</td> </tr> <tr> <td>4</td> <td>Subtract this from the dividend</td> </tr> <tr> <td>5</td> <td>Repeat the division for the remainder</td> </tr> <tr> <td>6</td> <td>Combine results to find the full answer</td> </tr> <tr> <td>7</td> <td>Write the final answer</td> </tr> </table>
Using these steps, anyone can successfully divide 5650 by 350, whether for homework, practical calculations, or everyday problem-solving. With practice, division will become an intuitive skill that can be applied to numerous mathematical problems. 😊