Sig Fig Rounding

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.

Tags

CCSS.8.EE.A.4

Front

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

Back

Count all non-zero digits, any zeros between them, and trailing zeros in a decimal number. Leading zeros are not counted.

Tags

CCSS.8.EE.A.4

Front

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

Back

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

Tags

CCSS.8.EE.A.4

Front

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

Back

The result should be rounded to the least number of significant figures of any number in the operation.

Tags

CCSS.8.EE.A.4

Front

Calculate (20.1 + 7.77)² (0.0826 + 0.11)² and round to 3 significant figures.

Back

28.8

Tags

CCSS.7.EE.B.3

Front

Calculate \( \sqrt{\frac{1}{51.9 - 34.4}} \div (9.54 \cdot (781 + 786)^{-5}) \) and round to 3 significant figures.

Back

7520000, 7,520,000

Tags

CCSS.7.EE.B.3

Front

Calculate (20.1 + 7.77)² (0.0826 + 0.11)² and round to 2 significant figures.

Back

29

Tags

CCSS.7.EE.B.3

Front

Calculate 247 + \( \sqrt{(22)(590)} \) - (814 + 128) and round to 3 significant figures.

Back

-581

Tags

CCSS.7.EE.B.3

Front

Calculate 247 + \( \sqrt{(22)(590)} \) - (814 + 128) and round to 4 significant figures.

Back

-581.1

Front

What is the significance of rounding in calculations?

Back

Rounding ensures that the precision of the result reflects the precision of the measurements used in the calculation.