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 multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (6 x 10^7) / (2 x 10^3) = 3 x 10^(7-3) = 3 x 10^4.

Front

What is the result of (4.5 x 10^2) + (62 x 10^3) in scientific notation?

Back

6.245 x 10^4.

Front

What is the result of (78 x 10^6) - (2.45 x 10^6) in scientific notation?

Back

7.555 x 10^7.

Front

How do you add numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding. Example: (4.5 x 10^2) + (62 x 10^3) becomes (0.045 x 10^3) + (62 x 10^3) = 62.045 x 10^3 = 6.2045 x 10^4.

Front

What is the difference between (3.8 x 10^4) and (0.2 x 10^4)?

Back

3.6 x 10^4.

Front

What is the product of (2 x 10^5) and (8 x 10^7)?

Back

16 x 10^(5+7) = 1.6 x 10^13.

Front

What is the quotient of (6.9 x 10^7) and (2.3 x 10^-3)?

Back

3 x 10^(7-(-3)) = 3 x 10^(7+3) = 3 x 10^10.

Front

What is the scientific notation for 0.00045?

Back

4.5 x 10^-4.