BV Scientific Notation

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 typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert a decimal number to scientific notation?

Back

To convert a decimal number to scientific notation, move the decimal point to the right or left until only one non-zero digit remains to the left of the decimal point. Count the number of places the decimal point is moved; this number becomes the exponent of 10. If the decimal is moved to the left, the exponent is positive; if moved to the right, it is negative.

Front

Convert 0.00456 to scientific notation.

Back

4.56 x 10^-3

Front

Convert 3.2 x 10^4 to standard notation.

Back

32,000

Front

What is the standard notation of 1.5 x 10^2?

Back

150

Front

How do you express large numbers in scientific notation?

Back

To express large numbers in scientific notation, identify the first non-zero digit, place the decimal after it, and count how many places you moved the decimal to the left. This count becomes a positive exponent of 10.

Front

How do you express small numbers in scientific notation?

Back

To express small numbers in scientific notation, identify the first non-zero digit, place the decimal after it, and count how many places you moved the decimal to the right. This count becomes a negative exponent of 10.

Front

What is the scientific notation for 0.00012?

Back

1.2 x 10^-4

Front

What is the scientific notation for 250000?

Back

2.5 x 10^5

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 10.