Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, making it easier to work with very large or very small numbers.

Front

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

Back

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

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until you have a number between 1 and 10, and count the number of places moved. The exponent will be positive.

Front

What is the scientific notation for 0.0005?

Back

5 x 10^-4

Front

What is the scientific notation for 520,000,000?

Back

5.2 x 10^8

Front

Which of the following is in scientific notation: 20.35 x 10^4 or 2.035 x 10^4?

Back

2.035 x 10^4 is in scientific notation.

Front

What is the scientific notation for .000457?

Back

4.57 x 10^-4

Front

How do you compare numbers in scientific notation?

Back

Compare the exponents first; the number with the larger exponent is greater. If exponents are the same, compare the coefficients.

Front

What is the greatest value among 5.0 x 10^-9, 5.0 x 10^-4, 5.0 x 10^6, and 5.0 x 10^8?

Back

5.0 x 10^8 is the greatest.

Front

What is the coefficient in scientific notation?

Back

The coefficient is the number that is multiplied by the power of 10, and it must be between 1 and 10.