Operations with Scientific Notation

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

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

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 find the combined mass of multiple items in scientific notation?

Back

Multiply the number of items by the mass of each item, both expressed in scientific notation.

Front

What is the combined mass of 5 x 10^3 paper clips each weighing 8 x 10^-4 kg?

Back

4 kg.

Front

How do you compare two numbers in scientific notation?

Back

Convert them to the same power of ten or compare their coefficients if the powers are the same.

Front

What is the diameter of Neptune in scientific notation?

Back

5 x 10^4 kilometers.

Front

What is the diameter of Mars in scientific notation?

Back

7 x 10^3 kilometers.

Front

How much larger is Neptune compared to Mars?

Back

The diameter of Neptune is more than 7 times greater than that of Mars.