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 convert a number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to its left, then count the number of places moved to determine the exponent of 10.

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read and work with.

Front

What is the mean distance from the sun to Earth in scientific notation?

Back

9.29 x 10^7 miles.

Front

What is the mean distance from the sun to Jupiter in scientific notation?

Back

4.8388 x 10^8 miles.

Front

How do you find the difference between two numbers in scientific notation?

Back

Align the exponents, convert to the same power of 10 if necessary, and then subtract the coefficients.

Front

What is the perimeter of a rectangle in scientific notation?

Back

Perimeter = 2(length + width). For dimensions 1.5 x 10^2 feet and 1.35 x 10^3 feet, P = 2(1.5 x 10^2 + 1.35 x 10^3).

Front

What is a microgram in scientific notation?

Back

1 microgram = 1 x 10^-6 grams.

Front

How do you compare two numbers in scientific notation?

Back

Convert both numbers to the same power of 10 and then compare the coefficients.

Front

What operation would you use to find the total vibrations produced in a given time?

Back

Multiply the number of vibrations per second by the time in seconds.