Converting 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 large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the positive exponent of ten.

Front

Convert 520,000,000 to scientific notation.

Back

5.2 x 10^8

Front

How do you convert a small number to scientific notation?

Back

Move the decimal point to the right until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the negative exponent of ten.

Front

Convert 0.000457 to scientific notation.

Back

4.57 x 10^-4

Front

What does a negative exponent indicate in scientific notation?

Back

It indicates that the original number is a small number (less than 1).

Front

True or False: 13.5 x 10^8 is in scientific notation.

Back

FALSE (The coefficient must be between 1 and 10).

Front

Convert 345,000 to scientific notation.

Back

3.45 x 10^5

Front

What is the coefficient in scientific notation?

Back

The number that is multiplied by the power of ten, which must be between 1 and 10.

Front

What is the purpose of scientific notation?

Back

To simplify the representation of very large or very small numbers for easier reading and calculation.