scientific notation word problems

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 3.0 x 10^4.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents. For example, (2 x 10^3) * (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents. For example, (6 x 10^5) / (2 x 10^2) = 3 x 10^(5-2) = 3 x 10^3.

Front

What is the significance of the exponent in scientific notation?

Back

The exponent indicates the number of places the decimal point is moved. A positive exponent means the number is large, while a negative exponent means the number is small.

Front

How do you add numbers in scientific notation?

Back

Convert to the same exponent, then add the coefficients. For example, (2 x 10^3) + (3 x 10^4) = (2 x 10^3) + (30 x 10^3) = 32 x 10^3.

Front

What is the formula to find the total vibrations produced in a given time?

Back

Total vibrations = vibrations per second x time in seconds.

Front

If a sound produces 2.62 x 10^2 vibrations per second, how many vibrations occur in 0.5 seconds?

Back

1.31 x 10^2 vibrations.

Front

How do you compare two numbers in scientific notation?

Back

Convert them to the same exponent or compare the coefficients if the exponents are equal.

Front

What is the mass of the sun in scientific notation?

Back

1 x 10^30 kilograms.

Front

How do you find how many times larger one number is than another in scientific notation?

Back

Divide the larger number by the smaller number.