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 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.

Powers of Ten Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a power of ten?

Back

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

2.

FLASHCARD QUESTION

Front

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

Back

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

3.

FLASHCARD QUESTION

Front

What is the result of multiplying $0.03$ by $10^3$ ?

Back

$30$ .

4.

FLASHCARD QUESTION

Front

What is $10^2$ in expanded form?

Back

$10 \times 10$ .

5.

FLASHCARD QUESTION

Front

How do you express $10^3$ in expanded form?

Back

$10 \times 10 \times 10$ .

6.

FLASHCARD QUESTION

Front

What is the value of $10^0$ ?

Back

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

7.

FLASHCARD QUESTION

Front

If you multiply $0.53$ by $10^2$ , what is the result?

Back

$53$ .

9.

FLASHCARD QUESTION

Front

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

Back

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

10.

FLASHCARD QUESTION

Front

How do you convert $0.003$ to a power of ten?

Back

$3 \times 10^{-3}$ .

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