To solve the problem of dividing 25 by 3.2, we will follow a systematic approach.
Understanding Division
Division is the process of determining how many times one number is contained within another. In this case, we are dividing 25 by 3.2.
Step-by-Step Calculation
1. Convert the Divisor
To simplify the division, convert 3.2 into a fraction:
- 3.2 = 32/10 (moving the decimal point one place to the right)
- This gives us:
- 25 ÷ 3.2 = 25 ÷ (32/10)
2. Flip and Multiply
When dividing by a fraction, you can multiply by its reciprocal:
- 25 ÷ (32/10) = 25 × (10/32)
3. Simplify the Calculation
Now, multiply:
- 25 × (10/32) = (25 × 10) / 32
- = 250 / 32
4. Perform the Division
Now, divide 250 by 32:
- 250 ÷ 32 = 7.8125 (approximately)
Final Result
The result of dividing 25 by 3.2 is approximately:
- 7.8125
Conclusion
Thus, when dividing 25 by 3.2, you arrive at approximately 7.8125, which can be rounded according to your needs, but is accurate to four decimal places. This method of converting to a fraction allows for easier calculations, especially when dealing with decimals.