Scientific Notation

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

How do you convert a number from standard form to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left of the decimal point, then multiply by 10 raised to the number of places the decimal was moved.

Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3

Front

If the exponent in scientific notation is negative, what does it indicate about the original number?

Back

The original number was a really small number.

Front

Convert 125,678,000 to scientific notation.

Back

1.25678 x 10^8

Front

Which of the following is correctly written in scientific notation? 8.2 x 10^2, 82 x 10^7, 3.45 x 9^4

Back

8.2 x 10^2

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

What is the standard form of 2.5 x 10^3?

Back

2500

Front

What is the standard form of 7.1 x 10^-2?

Back

0.071

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.