Scientific Notation and Operations in Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten, in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a 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

Convert 0.0005 to scientific notation.

Back

5 x 10^-4

Front

Convert 520,000,000 to scientific notation.

Back

5.2 x 10^8

Front

What is the result of (5 x 10^8) - (3.4 x 10^8)?

Back

1.6 x 10^8

Front

What is the result of (8.0 x 10^13) - (7.5 x 10^12)?

Back

7.25 x 10^13

Front

How do you add numbers in scientific notation?

Back

Make sure the exponents are the same, then add the coefficients. Adjust the result if necessary.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents.

Front

What is the area of a rectangular region with length 10,000 meters and width 4.8 x 10^3 meters in scientific notation?

Back

4.8 x 10^7 square meters.