Scientific Notation Operations

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 multiply numbers in scientific notation?

Back

Multiply the coefficients (the numbers in front) and add the exponents of the powers of ten.

Front

What is the result of (3.4 x 10^5)(1.2 x 10^-3)?

Back

4.08 x 10^2

Front

How do you add numbers in scientific notation?

Back

Convert to the same power of ten, then add the coefficients.

Front

What is the result of (7.7 x 10^2) + (1.1 x 10^2)?

Back

8.8 x 10^2

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents of the powers of ten.

Front

What is the result of (9 x 10^-6) / (3 x 10^-3)?

Back

3 x 10^-3

Front

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

Back

3.008 x 10^12

Front

What is the rule for adding or subtracting numbers in scientific notation?

Back

The exponents must be the same; if not, adjust them before performing the operation.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10 to maintain proper scientific notation format.