Knowee
Questions
Features
Study Tools

When we raise 1010 to a power, the power tells us the number of zeroes in the answer: 10510 5 ==100000100000 In your own words, explain why this happens.

Question

When we raise 1010 to a power, the power tells us the number of zeroes in the answer:

10^5 = 100000

In your own words, explain why this happens.

🧐 Not the exact question you are looking for?Go ask a question

Solution

When we raise 10 to a power, the power indeed tells us the number of zeroes in the answer. This happens because of the way multiplication works.

When we say 10 to the power of 5, what we're really doing is multiplying 10 by itself 5 times (1010101010).

In the decimal number system, each time we multiply a number by 10, we effectively "shift" that number one place to the left, adding a zero at the end. This is because 10 is the base of our number system.

So, when we multiply 10 by 10, we get 100 (which has two zeroes). If we multiply 100 by 10, we get 1000 (which has three zeroes), and so on.

Therefore, the number of times we multiply 10 by itself (i.e., the power to which we raise 10) directly corresponds to the number of zeroes in the resulting number.

This problem has been solved

Similar Questions

Write 1000010000 as a power of 1010. Write your answer in the form 10𝑥10 x , where 𝑥x is the power

What will be the number of zeroes at the end of the product of 1, 3, 5, 7 ….. 99?*1 point10111Nill

First 50 multiples of 20 i.e, 20, 40, 60, ……., 1000 are multiplied together. How many numbers of zeroes are there at the end of the product?

A machine using a power of 1 kW requires a force of 100 N to raise a mass in 10 s. The height the mass is raised in this time is:

If N is the product of the first hundred multiples of five, starting from 5, what is the rightmost non-zero digit in the number N?

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.