Standard Form to 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. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 67,900 to scientific notation.

Back

6.79 x 10^4

Front

What is the standard form of 1.25678 x 10^8?

Back

125,678,000

Front

How do you convert a small decimal to scientific notation?

Back

Move the decimal point to the right until you have a number between 1 and 10. The exponent will be negative, indicating how many places you moved.

Front

Convert 0.00000707 to scientific notation.

Back

7.07 x 10^-6

Front

What is the scientific notation for 0.000972?

Back

9.72 x 10^-4

Front

How do you determine the exponent when converting to scientific notation?

Back

The exponent is positive if the original number is greater than 1 and negative if it is less than 1.

Front

Convert 12,000,000 to scientific notation.

Back

1.2 x 10^7

Front

What is the standard form of 9.72 x 10^-3?

Back

0.00972