Scientific Notation Operations

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (between 1 and 10) and a power of 10.

Front

How do you add numbers in scientific notation with the same exponent?

Back

To add numbers in scientific notation with the same exponent, you add the coefficients (the numbers in front) and keep the exponent the same.

Front

How do you subtract numbers in scientific notation with the same exponent?

Back

To subtract numbers in scientific notation with the same exponent, you subtract the coefficients and keep the exponent the same.

Front

What is the rule for multiplying numbers in scientific notation?

Back

To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.

Front

What is the rule for dividing numbers in scientific notation?

Back

To divide numbers in scientific notation, you divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

Front

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

Back

To convert a number from standard form to scientific notation, move the decimal point to create a number between 1 and 10, and count the number of places moved to determine the exponent of 10.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent in scientific notation indicates how many places the decimal point has been moved. A positive exponent indicates a large number, while a negative exponent indicates a small number.

Front

What is the result of (a x 10^m) + (b x 10^m)?

Back

The result is (a + b) x 10^m, where 'a' and 'b' are the coefficients and 'm' is the common exponent.

Front

What is the result of (a x 10^m) - (b x 10^m)?

Back

The result is (a - b) x 10^m, where 'a' and 'b' are the coefficients and 'm' is the common exponent.

Front

What is the result of (a x 10^m) x (b x 10^n)?

Back

The result is (a x b) x 10^(m+n), where 'a' and 'b' are the coefficients and 'm' and 'n' are the exponents.