Power Standard Form

10^1 10
10^2 100
10^3 1000
10^4 10000
10^5 100000

Explain how the number of zeros in the standard form of a power of 10 relates to the exponent. Write a rule for the number pattern as well.

The power of ten gives the number of zeros.

In the standard form of a power of 10, the number of zeros after the digit '1' is equal to the exponent.

To understand this, let's look at the pattern you've provided:

- 10^1 = 10 (1 zero after 1)
- 10^2 = 100 (2 zeros after 1)
- 10^3 = 1000 (3 zeros after 1)
- 10^4 = 10000 (4 zeros after 1)
- 10^5 = 100000 (5 zeros after 1)

As you can see, for each power of 10, the number of zeros in the standard form is equal to the exponent.

Now, let's write a rule for this pattern:

The number of zeros in the standard form of a power of 10 is equal to the exponent.
Mathematically, we can express this as:
10^n = 1 followed by n zeros, where n is the exponent.