What is the approximate decimal value of 25 divided by 7?

Introduction / Context:
This question simply checks your ability to perform a division and express the result as a decimal. Such basic numerical skills are essential in many aptitude tests and everyday calculations.

Given Data / Assumptions:

• We need to evaluate 25 ÷ 7.
• We want a decimal approximation accurate to three decimal places.

Concept / Approach:
Perform the division of 25 by 7 using long division or a known fraction to decimal conversion. The true value is a repeating decimal, so we round it appropriately to three digits after the decimal point.

Step-by-Step Solution:
Step 1: Express the division: 25 ÷ 7.Step 2: Since 7 * 3 = 21 and 7 * 4 = 28, the integer part of the result is 3.Step 3: Subtract 21 from 25 to get remainder 4. Bring down 0 to continue in decimal, making it 40.Step 4: 7 goes into 40 five times (7 * 5 = 35), remainder 5. So the next digit is 5, giving 3.5 so far.Step 5: Bring down another 0 to get 50. 7 goes into 50 seven times (7 * 7 = 49) remainder 1. Now we have 3.57.Step 6: Bring down another 0 to get 10. 7 goes into 10 once (7 * 1 = 7), remainder 3, making the decimal 3.571 so far.Step 7: Thus 25 ÷ 7 ≈ 3.571 to three decimal places.

Verification / Alternative check:
We know that 22 ÷ 7 ≈ 3.143, which is a famous approximation of pi. Since 25 is larger than 22, 25 ÷ 7 should be slightly larger than 3.143, and 3.571 is consistent with that expectation.

Why Other Options Are Wrong:
35.71 is much larger than 4 and cannot be the result of dividing 25 by 7.0.351 and 0.0357 are both less than 1, which is impossible because 25 is greater than 7.

Common Pitfalls:
Misplacing the decimal point can easily lead to very large or very small values.Some learners may incorrectly stop too early in the long division and not represent the repeating nature of the decimal.Careful step by step long division avoids these errors.

Final Answer:
The approximate value of 25 ÷ 7 is 3.571.