What Is 17 Divided By 8? Learn The Answer Easily!
Table of Contents :
To solve the problem of 17 divided by 8, let's break it down step-by-step. This calculation is a fundamental concept in arithmetic that can help you understand division better. Division is essentially determining how many times one number fits into another, so here we are determining how many times 8 fits into 17.
Understanding Division
Before diving into the specifics of 17 divided by 8, it's important to understand what division means:
- Division is one of the four basic operations of arithmetic.
- It can be thought of as sharing a number into equal parts.
In mathematical terms, if you are dividing ( a ) by ( b ) (where ( a ) is the dividend and ( b ) is the divisor), you are trying to find out how many times ( b ) fits into ( a ).
The Calculation
Now, let's carry out the calculation for 17 ÷ 8:
- Dividing the Numbers: Start with the dividend (17) and the divisor (8).
- Perform the Division: Ask yourself, "How many times does 8 fit into 17?"
- 8 fits into 17 2 times because ( 8 \times 2 = 16 ), which is less than 17.
- If we multiply 8 by 3, we get ( 8 \times 3 = 24 ), which exceeds 17.
From the above steps, we can conclude that:
- 2 is the whole number quotient.
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Finding the Remainder: Next, we need to find out how much is left after taking 16 from 17.
- ( 17 - 16 = 1 )
- Therefore, the remainder is 1.
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Expressing the Result: We can express the result of 17 divided by 8 in a few different ways:
- As a whole number with a remainder: 2 R1 (2 remainder 1).
- As a fraction: ( 2 \frac{1}{8} ) (which translates to 2 whole parts and 1 part of 8).
- As a decimal: Dividing 1 by 8 gives ( 0.125 ). So, 17 divided by 8 equals 2.125.
Summary Table of 17 Divided by 8
To encapsulate everything discussed, here’s a table that summarizes the different ways to express the result of 17 divided by 8:
<table> <tr> <th>Method</th> <th>Result</th> </tr> <tr> <td>Whole Number with Remainder</td> <td>2 R1</td> </tr> <tr> <td>Fraction</td> <td>2 1/8</td> </tr> <tr> <td>Decimal</td> <td>2.125</td> </tr> </table>
Applications of Division
Understanding how to divide numbers is crucial in many areas of everyday life. Here are a few examples of practical applications:
- Sharing: If you have 17 candies and want to share them equally among 8 friends, you will find out that each friend receives 2 candies, and you will have 1 leftover.
- Budgeting: If you're managing expenses and need to divide your total expenses by a certain number of categories, understanding how to do this can help you budget effectively.
- Cooking: If a recipe serves 8 and you only need to serve 2, you will need to divide the ingredients accordingly.
Key Takeaways
- Division is a foundational mathematical operation.
- 17 divided by 8 results in 2 with a remainder of 1, or can be expressed as 2.125.
- The result can be represented in different formats: as a whole number, a fraction, or a decimal.
By mastering division, you not only sharpen your mathematical skills but also enhance your problem-solving abilities in various real-life situations. Remember, practice makes perfect! Try similar divisions to solidify your understanding, like ( 15 ÷ 4 ) or ( 20 ÷ 6 ). You'll find that with each calculation, your confidence and competence in handling numbers will grow.