1625 divided by 2.5

Everly

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18-03-2025

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Introduction:

Dividing numbers can sometimes seem daunting, especially when decimals are involved. This article will guide you through the process of dividing 1625 by 2.5, explaining the steps clearly and concisely. We'll explore different methods to arrive at the correct answer and show you how easy it can be! Understanding this division problem is a great step towards mastering more complex mathematical operations.

Understanding the Problem: 1625 ÷ 2.5

The problem we're tackling is 1625 divided by 2.5 (1625 ÷ 2.5). This involves dividing a whole number (1625) by a decimal number (2.5). While this might seem tricky, we can simplify the process using a few different approaches.

Method 1: Converting to Fractions

One effective method is converting the decimal to a fraction. This simplifies the division.

Step 1: Convert the decimal to a fraction:

2.5 can be written as 2 1/2 or 5/2.

Step 2: Rewrite the problem as a fraction division:

1625 ÷ 5/2 becomes 1625 * 2/5 (Remember that dividing by a fraction is the same as multiplying by its reciprocal).

Step 3: Simplify and solve:

(1625 * 2) / 5 = 3250 / 5 = 650

Therefore, 1625 divided by 2.5 is 650.

Method 2: Long Division with Decimals

Another method involves using long division, adapting it for decimals.

Step 1: Set up the long division:

2.5 | 1625.0

Step 2: Adjust the divisor:

To remove the decimal in the divisor (2.5), we multiply both the divisor and the dividend by 10. This shifts the decimal point one place to the right in both numbers.

25 | 16250.0

Step 3: Perform long division:

Now we perform standard long division:

25 goes into 162 six times (6 x 25 = 150). Subtract 150 from 162, leaving 12. Bring down the 5 to make 125. 25 goes into 125 five times (5 x 25 = 125). Subtracting leaves 0. Bring down the 0 and get 0.

Therefore, 1625 divided by 2.5 is 650.

Method 3: Using a Calculator

The easiest way to solve this problem is by using a calculator. Simply enter 1625 ÷ 2.5 and the calculator will give you the answer: 650.

Conclusion:

As you can see, there are multiple ways to calculate 1625 divided by 2.5. The answer remains consistent across all methods: 650. Choose the method most comfortable for you. Whether you prefer fractions, long division, or a calculator, understanding the underlying principles is key to mastering division problems. Now you're equipped to tackle similar problems with confidence!