Scientific Notation/dimensional analysis/significant digits

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically used for very large or very small numbers.

Front

How do you convert a large number to scientific notation?

Back

Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. Count the number of places moved; this becomes the exponent of 10.

Front

Convert 564,000,000 to scientific notation.

Back

5.64 x 10^8

Front

What is dimensional analysis?

Back

A mathematical technique used to convert between units by multiplying by conversion factors.

Front

How do you perform dimensional analysis?

Back

Identify the units you have and the units you want, then multiply by conversion factors that cancel out the unwanted units.

Front

What are significant digits?

Back

The digits in a number that contribute to its precision, including all non-zero digits, zeros between significant digits, and trailing zeros in the decimal part.

Front

How many significant figures are in the number 0.003705?

Back

4 significant figures.

Front

How many significant figures are in the number 1.0200 x 10^5?

Back

5 significant figures.

Front

What is the total amount spent if a book costs $11.5 and a pen costs $115?

Back

$127.

Front

What is the rule for adding and subtracting significant figures?

Back

The result should be reported to the least number of decimal places of any number in the operation.