Lesson 21 Practice - Powers of 10

A power of 10 is a number expressed as 10 raised to an exponent, indicating how many times to multiply 10 by itself. For example, $$10^3 = 10 \times 10 \times 10 = 1000$$ .

To estimate a number using powers of 10, round the number to the nearest power of 10. For example, 623 can be estimated as $$6 \times 10^2$$ .

The standard form of a number is a way of writing numbers that are too big or too small in a more concise format, typically using powers of 10. For example, $$0.000623 = 6.23 \times 10^{-4}$$ .

$$0.000623 = 6.23 \times 10^{-4}$$ .

$$784,000 = 7.84 \times 10^5$$ .

Standard form is a way of writing numbers using powers of 10, while scientific notation is a specific type of standard form where the coefficient is between 1 and 10.

To convert from scientific notation to standard form, multiply the coefficient by 10 raised to the exponent. For example, $$3.2 \times 10^4 = 32,000$$ .

$$2 \times 10^8$$ is greater.

$$0.00613$$ .

$$784,000$$ .