Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, making it easier to work with very large or very small numbers.

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the positive exponent of 10.

Front

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the negative exponent of 10.

Front

Convert 57,190,000 to scientific notation.

Back

5.719 x 10^7

Front

Convert 0.0000037 to scientific notation.

Back

3.7 x 10^-6

Front

What is the product of 3.1 x 10^8 and 4.1 x 10^1?

Back

1.271 x 10^10

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents of the powers of 10.

Front

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

Back

1.4 x 10^9 km

Front

If a spacecraft travels at 7 x 10^5 km per day, how do you calculate the time to reach Saturn?

Back

Divide the total distance by the speed: (1.4 x 10^9 km) / (7 x 10^5 km/day) = 2 x 10^3 days.

Front

Convert 6 x 10^-3 cm to standard form.

Back

0.006 cm