Scientific Notation to Standard Form

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. For example, 3000 can be written as 3.0 x 10^3.

Front

How do you convert a number from scientific notation to standard form?

Back

Multiply the coefficient by 10 raised to the power indicated. For example, 4.5 x 10^2 = 450.

Front

What is the standard form of 6.02 x 10^23?

Back

602,000,000,000,000,000,000,000.

Front

What is the standard form of 0.00045?

Back

4.5 x 10^-4.

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first. The number with the larger exponent is larger. If exponents are the same, compare the coefficients.

Front

What is the smallest number: 1.0 x 10^5 or 1.0 x 10^-4?

Back

1.0 x 10^-4 is smaller.

Front

What is the largest number: 1.0 x 10^2 or 1.0 x 10^-1?

Back

1.0 x 10^2 is larger.

Front

How do you express 0.0000000000999 in scientific notation?

Back

9.99 x 10^-11.

Front

What is the distance from the Earth to the Sun in scientific notation?

Back

Approximately 9.4 x 10^7 miles.

Front

Convert 1.5 x 10^3 to standard form.

Back

1,500.