Scientific Notation and Significant Figures Flashcard

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, e.g., 3.0 x 10^4.

Front

How do you determine the number of significant figures in a number?

Back

Count all non-zero digits, any zeros between them, and trailing zeros in the decimal portion.

Front

What is the significance of significant figures in calculations?

Back

They indicate the precision of a measurement and help maintain accuracy in calculations.

Front

How do you add numbers in scientific notation?

Back

Align the exponents, convert to the same power of 10, then add the coefficients.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents.

Front

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

Back

The result should have the same number of decimal places as the measurement with the least decimal places.

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 measurement with the least significant figures.

Front

Convert 0.000000842 to scientific notation.

Back

8.42 x 10^-7.

Front

What is the result of (3.486) + (1.33) + (2.19) with correct significant figures?

Back

7.01.

Front

How many significant figures are in the value 5829.003?

Back

7.