Converting Between Scientific Notation and Standard Form

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 count the number of places moved and express it as a power of ten.

Front

Convert 0.004078 to scientific notation.

Back

4.078 x 10^-3

Front

Is 0.004078 written in scientific notation?

Back

No, it's not in scientific notation.

Front

Convert 520,000,000 to scientific notation.

Back

5.2 x 10^8

Front

Convert 125,678,000 to scientific notation.

Back

1.25678 x 10^8

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

What is the standard form of 3.2 x 10^4?

Back

32,000

Front

What is the standard form of 7.5 x 10^-2?

Back

0.075

Front

How do you determine if a number is in scientific notation?

Back

It must be in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.