sig fig and scientific notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 1.5 x 10^3.

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, then count the number of places moved to determine the exponent.

Front

Convert 18,000,000 to scientific notation.

Back

1.8 x 10^7.

Front

What is the rule for significant figures in addition and subtraction?

Back

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

Front

Calculate 2.12 + 3.5 and round to the correct number of significant figures.

Back

5.6.

Front

What is the rule for significant figures in multiplication and division?

Back

The result should have the same number of significant figures as the number with the least significant figures in the operation.

Front

Calculate 24.567 + 0.04478 and round to the correct number of significant figures.

Back

24.612.

Front

What is the purpose of significant figures?

Back

To convey the precision of a measurement and ensure that calculations reflect that precision.

Front

Convert 4.96 x 10^-3 to decimal notation.

Back

0.00496.

Front

How do you determine which number is larger when comparing numbers in scientific notation?

Back

Compare the exponents first; the larger exponent indicates the larger number.