Scientific Notation Word Problems

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 add numbers in scientific notation?

Back

Align the powers of ten. If necessary, adjust the coefficients so they have the same exponent, then add the coefficients and keep the common exponent.

Front

How do you subtract numbers in scientific notation?

Back

Align the powers of ten. If necessary, adjust the coefficients so they have the same exponent, then subtract the coefficients and keep the common exponent.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. The result is in the form a x 10^n.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. The result is in the form a x 10^n.

Front

What is the purpose of using scientific notation?

Back

To simplify the representation of very large or very small numbers, making calculations easier.

Front

What is the value of 8 x 10^7 + 3 x 10^6?

Back

8.3 x 10^7.

Front

If a school has 7 x 10^5 trees and 3.5 x 10^3 students, how many trees does each student plant?

Back

Each student plants 2 x 10^2 trees.

Front

What is the mass of the sun in scientific notation?

Back

1.989 x 10^30 kilograms.

Front

How many times bigger is the sun than the earth if the earth's mass is 5.98 x 10^24 kg?

Back

3.326 x 10^5 times bigger.