Scientific Notation ~ Positive & Negative

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number (the coefficient) between 1 and 10 and a power of 10.

Front

How do you convert a large number to scientific notation?

Back

To convert a large number to scientific notation, 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 the decimal has moved; this will be the positive exponent of 10.

Front

Convert 125,678,000 to scientific notation.

Back

1.25678 x 10^8

Front

What is the range for the coefficient in scientific notation?

Back

The coefficient must be greater than or equal to 1 but less than 10.

Front

How do you convert a small number to scientific notation?

Back

To convert a small number to scientific notation, 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 the decimal has moved; this will be the negative exponent of 10.

Front

Convert 0.000398 to scientific notation.

Back

3.98 x 10^-4

Front

What is the scientific notation for 450,000?

Back

4.5 x 10^5

Front

How do you convert scientific notation back to standard form?

Back

To convert scientific notation back to standard form, multiply the coefficient by 10 raised to the power of the exponent. If the exponent is positive, move the decimal to the right; if negative, move it to the left.

Front

Convert 3.97 x 10^-2 to standard form.

Back

0.0397

Front

What is the purpose of using scientific notation?

Back

Scientific notation simplifies the representation of very large or very small numbers, making them easier to read, write, and calculate.