0.002 is 1/10 of

2025

2 min read 30-03-2025

Finding out what number 0.002 is one-tenth of involves a simple mathematical calculation. This article will guide you through the steps, offering multiple approaches to solve this problem. Understanding this concept strengthens your grasp of decimal relationships and fractions. Let's dive in!

Understanding the Problem: 1/10th Relationships

The problem states that 0.002 represents one-tenth (1/10) of another number. In mathematical terms, we're looking for 'x' in the equation:

0.002 = (1/10) * x

To find 'x', we need to isolate it on one side of the equation.

Method 1: Using Inverse Operations

This is the most straightforward method. Since 0.002 is the result of multiplying 'x' by 1/10, we can reverse this by multiplying 0.002 by the reciprocal of 1/10, which is 10/1 or simply 10.

Therefore:

x = 0.002 * 10 = 0.02

Answer: 0.002 is 1/10 of 0.02.

Method 2: Converting to Fractions

We can also solve this by converting the decimal 0.002 into a fraction:

0.002 = 2/1000

Now, substitute this fraction into the original equation:

2/1000 = (1/10) * x

To solve for x, multiply both sides by 10:

(2/1000) * 10 = x

This simplifies to:

20/1000 = x

Reducing the fraction gives us:

x = 2/100 = 0.02

Answer: Again, we find that 0.002 is 1/10 of 0.02.

Method 3: Understanding Decimal Place Values

This method helps build intuition about decimals. Notice that 0.002 has three decimal places. Multiplying by 10 moves the decimal point one place to the right. Therefore, to find the number that 0.002 is one-tenth of, we simply move the decimal point one place to the right:

0.002 becomes 0.02

Answer: Once again, the answer is 0.02.

Practical Applications

Understanding decimal relationships is crucial in various fields:

Finance: Calculating interest, percentages, and discounts.
Science: Measuring quantities and converting units.
Engineering: Precision measurements and calculations.
Everyday Life: Portioning ingredients, understanding sales, and more.

Conclusion

We've explored three different methods to determine that 0.002 is one-tenth of 0.02. Mastering these techniques will strengthen your understanding of decimals, fractions, and their practical applications. Remember to practice regularly to build confidence and proficiency in these mathematical concepts. Now you can confidently tackle similar problems involving decimal relationships!