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 number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to its left, then multiply by 10 raised to the number of places the decimal was moved.

Front

Convert 0.000457 to scientific notation.

Back

4.57 x 10^-4

Front

What is standard form?

Back

The usual way of writing numbers without exponents, where the decimal point is placed after the first non-zero digit.

Front

Convert 4.3756 x 10^4 to standard form.

Back

43,756

Front

Convert 1.4 x 10^-2 to standard notation.

Back

0.014

Front

Convert 520,000,000 to scientific notation.

Back

5.2 x 10^8

Front

Which is smaller: 5.0 x 10^-9 or 5.0 x 10^6?

Back

5.0 x 10^-9 is smaller.

Front

What does the exponent in scientific notation indicate?

Back

The exponent indicates how many places to move the decimal point: to the right for positive exponents and to the left for negative exponents.

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.