Sig Fig multiplication/division

Front

What are Significant Figures?

Back

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.

Front

How do you determine the number of Significant Figures in a whole number?

Back

For whole numbers, count all non-zero digits and any zeros that are between them. Trailing zeros in a whole number without a decimal point are not counted.

Front

How do you determine the number of Significant Figures in a decimal number?

Back

For decimal numbers, count all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.

Front

What is the rule for multiplication and division regarding Significant Figures?

Back

In multiplication and division, the result should have the same number of significant figures as the measurement with the least number of significant figures.

Front

Calculate 4.56 x 2.1 and give the answer with the correct number of significant figures.

Back

Answer: 10.

Front

What is the rule for addition and subtraction regarding Significant Figures?

Back

In addition and subtraction, the result should be rounded to the least number of decimal places of any number in the operation.

Front

Calculate 100.0 + 0.045 and give the answer with the correct number of significant figures.

Back

Answer: 100.05.

Front

How do you round a number to the correct number of Significant Figures?

Back

To round a number, look at the digit immediately after the last significant figure you want to keep. If it's 5 or greater, round up; if it's less than 5, leave it as is.

Front

Calculate 245.01 km x 2.1 km and give the answer with the correct number of significant figures.

Back

Answer: 510 km².

Front

What is the significance of trailing zeros in a decimal number?

Back

Trailing zeros in a decimal number are significant because they indicate precision. For example, 50.0 has three significant figures.