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. For example, (1.4 x 10^5)(2 x 10^7) = (1.4*2) x 10^(5+7) = 2.8 x 10^12.

Front

What is the standard form of -5.6 x 10^-3?

Back

-0.0056.

Front

How do you convert a number from standard form to scientific notation?

Back

Move the decimal point to create a number between 1 and 10, then count the number of places moved to determine the exponent. For example, 450,000 = 4.5 x 10^5.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

How do you compare two numbers in scientific notation?

Back

Compare the exponents first. If they are the same, compare the coefficients.

Front

What is the standard form of 3.41 x 10^6?

Back

3,410,000.

Front

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

Back

15 x 10^5 or 1.5 x 10^6.

Front

How do you write 0.00056 in scientific notation?

Back

-5.6 x 10^-4.

Front

What is the result of (2 x 10^4) + (3 x 10^4)?

Back

5 x 10^4.