Operations 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

How do you add numbers in scientific notation?

Back

Align the exponents. If they are different, convert one number to have the same exponent as the other. Then, add the coefficients and keep the exponent.

Front

What is the general form of scientific notation?

Back

A number expressed as a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

What is the result of (4.5 x 10^2) + (6.2 x 10^4)?

Back

6.245 x 10^4.

Front

What is the result of (9 x 10^-6) (3 x 10^-3)?

Back

2.7 x 10^-8.

Front

How do you convert 5.2 x 10^7 + 3.01 x 10^4 into scientific notation?

Back

5.20301 x 10^7.

Front

What is the result of (4 x 10^5)(5 x 10^-3)?

Back

2 x 10^3.

Front

How do you write 4.1 x 10^5 + 5.5 x 10^6 in scientific notation?

Back

5.91 x 10^6.

Front

What is the purpose of using scientific notation?

Back

To simplify calculations and make it easier to work with very large or very small numbers.