Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10.

Front

What does a positive exponent in scientific notation indicate?

Back

The number is larger than 10.

Front

What does a negative exponent in scientific notation indicate?

Back

The number is smaller than 1.

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, then count the number of places moved to determine the exponent.

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, then count the number of places moved to determine the exponent as negative.

Front

What is the scientific notation for 125,678,000?

Back

1.25678 x 10^8

Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3

Front

What is the standard form of -5.6 x 10^-3?

Back

-0.0056

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.