What does $$10^4$$ represent in expanded form?

$$10 \times 10 \times 10 \times 10$$ .

What is the value of $$10^0$$ ?

$$1$$ , because any number raised to the power of zero is one.

What is the relationship between powers of ten and place value?

Powers of ten determine the value of digits based on their position in a number.

What is $$10^{-1}$$ equal to?

$$0.1$$ , because a negative exponent indicates a reciprocal.

What is the result of $$10^5$$ in expanded form?

$$10 \times 10 \times 10 \times 10 \times 10$$ .

What does multiplying by $$10^n$$ do to a number?

It shifts the decimal point n places to the right.

What happens when you divide a number by $$10^n$$ ?

It shifts the decimal point n places to the left.

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What is the definition of a power of ten?

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A power of ten is a number expressed as ten raised to an exponent, indicating how many times to multiply ten by itself.

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