Scientific Notation Operations

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 add numbers in scientific notation with the same exponent?

Back

Add the coefficients and keep the exponent the same. Example: (5.3 x 10^5) + (3.7 x 10^5) = (5.3 + 3.7) x 10^5 = 9.0 x 10^5.

Front

What is the rule for multiplying numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. Example: (2.8 x 10^2) * (3.9 x 10^4) = (2.8 * 3.9) x 10^(2+4) = 10.92 x 10^6.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. Example: (6.9 x 10^7) / (2.3 x 10^-3) = (6.9 / 2.3) x 10^(7 - (-3)) = 3 x 10^10.

Front

What is the result of multiplying (9.4 x 10^6) and (3.2 x 10^5)?

Back

3.008 x 10^12.

Front

What is the first step in adding numbers in scientific notation with different exponents?

Back

Convert them to the same exponent before adding.

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 right, and a negative exponent means move left.

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, and count the number of places moved to determine the exponent.

Front

What is the scientific notation for 0.00045?

Back

4.5 x 10^-4.

Front

What is the scientific notation for 1230000?

Back

1.23 x 10^6.