Operations with 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 convert a standard number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

What is the general form of scientific notation?

Back

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

Front

How do you compare two numbers in scientific notation?

Back

Compare the exponents first. The number with the larger exponent is greater. If exponents are equal, compare the coefficients.

Front

What is the product of two numbers in scientific notation?

Back

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

Front

What is the quotient of two numbers in scientific notation?

Back

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

Front

How do you add or subtract numbers in scientific notation?

Back

Convert to the same exponent, then add or subtract the coefficients. Finally, express the result in scientific notation.

Front

What is the value of 4.5 x 10^5 in standard form?

Back

450,000.

Front

What is the value of 2.2 x 10^2 in standard form?

Back

220.

Front

How do you express 450,000 in scientific notation?

Back

4.5 x 10^5.