Division of Decimal Numbers: 0.14 divided by 0.4
When it comes to dividing decimal numbers, it's essential to understand the concept of place value and how to perform the operation correctly. In this article, we'll explore the division of 0.14 by 0.4 and provide a step-by-step guide on how to arrive at the answer.
The Problem: 0.14 ÷ 0.4
To solve this problem, we need to divide 0.14 by 0.4. This can be written as:
0.14 ÷ 0.4 = ?
Step-by-Step Solution
To divide 0.14 by 0.4, we can follow these steps:
Step 1: Write the problem in long division format
_____
0.4 | 0.14
Step 2: Divide the first digit of the dividend (0.14) by the divisor (0.4)
0.1 ÷ 0.4 = 0.25
Step 3: Multiply the result from step 2 by the divisor and subtract the product from the dividend
0.14 - 0.1 = 0.04
Step 4: Bring down the next digit of the dividend and repeat steps 2 and 3
0.04 ÷ 0.4 = 0.1
Step 5: Multiply the result from step 4 by the divisor and subtract the product from the dividend
0.04 - 0.04 = 0.0
Since the remainder is 0, we can stop here.
The Answer: 0.35
Therefore, 0.14 divided by 0.4 is equal to 0.35.
Conclusion
Dividing decimal numbers requires attention to place value and careful calculation. By following the steps outlined above, you can ensure accurate results when performing division operations with decimal numbers. Remember to always check your work and ensure that your answer is reasonable.
