Mathematics often presents us with numbers that are incredibly large or small, making them challenging to comprehend. One such scenario arises when we are asked to find the one-thousandth part of 10 to the fifteenth power. Let's break down this problem step by step.

Understanding Powers

Before diving into the solution, let's review some basic concepts. 10 to the fifteenth power means multiplying 10 by itself fifteen times. Mathematically, it can be expressed as:

1015 = 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10.

The One-Thousandth Part

Now that we understand the concept of 10 to the fifteenth power, finding the one-thousandth part becomes easier. We simply need to divide the number by 1000.

1015 ÷ 1000 = ?

Simplifying the Calculation

To simplify the calculation, we can rewrite 1000 as 103. Dividing by 103 is the same as multiplying by 10-3. Let's find the product:

1015 × 10-3 = 1015-3 = 1012.

The Result

Therefore, the one-thousandth part of 10 to the fifteenth power is 10 to the twelfth power, or simply 1012.

In summary, when asked to find the one-thousandth part of 10 to the fifteenth power, we divide the original number by 1000, which is equivalent to multiplying it by 10-3. This simplification leads us to the final result of 1012. It is fascinating how understanding the fundamental properties of numbers and powers allows us to solve such complex problems with ease.

  • So, remember:
    • 1015 ÷ 1000 = 1012
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