what is a simplified answer for 245/2

Natashya

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02-02-2025

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What is 245 divided by 2? This seemingly simple question can be answered in a few different ways, depending on the level of detail needed. Let's explore how to solve this and understand the result.

Calculating 245/2: The Long Division Method

The most straightforward way to find the answer is using long division. Here's how it works:

1. Divide: 2 goes into 2 one time (2 ÷ 2 = 1). Write the 1 above the 2 in 245.

2. Multiply: Multiply the 1 by the 2 (1 x 2 = 2).

3. Subtract: Subtract the 2 from the 2 (2 - 2 = 0).

4. Bring down: Bring down the next digit, which is 4.

5. Repeat: 2 goes into 4 two times (4 ÷ 2 = 2). Write the 2 above the 4.

6. Multiply and Subtract: Multiply the 2 by the 2 (2 x 2 = 4) and subtract (4 - 4 = 0).

7. Bring down: Bring down the last digit, 5.

8. Repeat: 2 goes into 5 two times with a remainder of 1 (5 ÷ 2 = 2 with a remainder of 1). Write the 2 above the 5.

9. Remainder: The remainder is 1. We can express this as a fraction (1/2) or a decimal (0.5).

Therefore, 245 divided by 2 is 122 with a remainder of 1, or 122.5.

Understanding the Result: Whole Number and Decimal

The result of 245/2 can be expressed in two common ways:

• As a mixed number: 122 1/2 (This shows the whole number quotient and the remaining fraction).
• As a decimal: 122.5 (This represents the exact value including the remainder). This is often the preferred format for practical applications.

Both representations are correct and convey the same information. The choice depends on the context and desired precision.

Quick Calculation Methods: Mental Math and Calculator

For quick calculations:

• Mental Math (Approximation): You can quickly estimate the answer. Half of 200 is 100, half of 40 is 20, and half of 5 is 2.5. Adding these together (100 + 20 + 2.5) gives you approximately 122.5.

• Calculator: A calculator provides the most efficient way to determine the answer instantly.

Conclusion

In conclusion, the simplified answer to 245/2 is 122.5. Understanding the long division process helps build a solid foundation in mathematics. Remember that the result can be expressed as a mixed number (122 1/2) or a decimal (122.5), depending on the context.