S22: Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

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

Back

Multiply the coefficient by 10 raised to the power of the exponent. For example, 3.5e2 = 3.5 × 10^2 = 350.

Front

What is the standard notation for 6.89e-4?

Back

0.000689

Front

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

Back

Move the decimal point in the number until only one non-zero digit remains to its left, counting the number of places moved as the exponent of 10.

Front

What is the scientific notation for 0.00099000?

Back

9.9000e-4

Front

What is the scientific notation for 2,360,000?

Back

2.36e6

Front

What is the standard notation for 2.681003e0?

Back

2.681003

Front

What is the standard notation for 9.87124500e6?

Back

9871245.00

Front

What does the 'e' represent in scientific notation?

Back

The 'e' represents 'exponent' and indicates the power of 10 that the coefficient is multiplied by.

Front

How do you handle zeros in scientific notation?

Back

Leading zeros in the coefficient are not counted, but trailing zeros after the decimal point in the coefficient are significant.