Writing in Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

What is the general format of scientific notation?

Back

A number between 1 and 10 multiplied by a power of ten, e.g., a x 10^n.

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until you have a number between 1 and 10, 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 you have a number between 1 and 10, then count the number of places moved to determine the negative exponent.

Front

Which of the following is correctly written in scientific notation? 0.00056

Back

5.6 x 10^-4.

Front

Convert 1,000,000 to scientific notation.

Back

1 x 10^6.

Front

Convert 0.00045 to scientific notation.

Back

4.5 x 10^-4.

Front

What is the purpose of using scientific notation?

Back

To simplify the representation of very large or very small numbers for easier reading and calculations.

Front

Which number is incorrectly written in scientific notation? 7.89 x 10^2, 0.45 x 10^3, 12.3 x 10^1

Back

12.3 x 10^1 (should be 1.23 x 10^2).

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.