Scientific Notation

Front

What is scientific notation?

Back

A way to express very large or very small numbers using powers of ten. It is written 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 5000 to scientific notation.

Back

5.0 x 10^3

Front

Convert 0.0045 to scientific notation.

Back

4.5 x 10^-3

Front

What is the standard form of 3.2 x 10^4?

Back

32,000

Front

What is the standard form of 7.1 x 10^-2?

Back

0.071

Front

Which is larger: 2.5 x 10^3 or 3.0 x 10^2?

Back

2.5 x 10^3 is larger (2,500 vs. 300).

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For 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. For example, (6 x 10^5) / (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

Front

What is the scientific notation for 0.00056?

Back

5.6 x 10^-4