Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 2.5 x 10^3.

Front

What is the general form of scientific notation?

Back

The general form is a x 10^n, where 1 ≤ a < 10 and n is an integer.

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 n.

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 n (n will be negative).

Front

What is the scientific notation for 564,000,000?

Back

5.64 x 10^8.

Front

What is the scientific notation for 0.000045?

Back

4.5 x 10^-5.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a x 10^m)(b x 10^n) = (a*b) x 10^(m+n).

Front

What is the result of (2 x 10^-9)(-4 x 10^-8)?

Back

-8 x 10^-17.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a x 10^m) / (b x 10^n) = (a/b) x 10^(m-n).

Front

What is the result of (6 x 10^5) / (3 x 10^2)?

Back

2 x 10^3.