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 the product of a number (between 1 and 10) and a power of 10.

Front

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

Back

To convert a number from standard form to scientific notation, move the decimal point to the right or left until you have a number between 1 and 10. Count the number of places you moved the decimal; this will be the exponent of 10. If you moved it to the left, the exponent is positive; if to the right, it is negative.

Front

What is the standard form of 3.5 x 10^4?

Back

The standard form of 3.5 x 10^4 is 35,000.

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients (the numbers in front) and add the exponents of the powers of 10.

Front

What is the result of (2 x 10^3) * (3 x 10^2)?

Back

The result is 6 x 10^5.

Front

How do you divide numbers in scientific notation?

Back

To divide numbers in scientific notation, divide the coefficients and subtract the exponent of the denominator from the exponent of the numerator.

Front

What is the result of (8 x 10^5) / (4 x 10^2)?

Back

The result is 2 x 10^3.

Front

How do you convert a small decimal number to scientific notation?

Back

To convert a small decimal number to scientific notation, move the decimal point to the right until you have a number between 1 and 10. The exponent of 10 will be negative, indicating how many places you moved the decimal.

Front

What is the scientific notation for 0.00045?

Back

The scientific notation for 0.00045 is 4.5 x 10^-4.

Front

What is the purpose of using scientific notation?

Back

The purpose of using scientific notation is to simplify the representation of very large or very small numbers, making them easier to read, write, and calculate.