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Worked answers

Significant Figures Examples with Answers

Fast worked examples for the exact numbers students search: 100, 1000, 0.00450, 90.010, and common rounding questions.

Significant figures example cards for counting and rounding
Counting

How Many Significant Figures Are in 100?

100 has 1 significant figure unless a decimal point or scientific notation is used to show extra precision.

100 has 1 significant figure.
Counting

How Many Significant Figures Are in 1000?

1000 usually has 1 significant figure. Learn why trailing zeros in whole numbers are ambiguous.

1000 has 1 significant figure in standard sig fig counting.
Counting

How Many Significant Figures Are in 0.00450?

0.00450 has 3 significant figures: 4, 5, and the trailing zero after the decimal.

0.00450 has 3 significant figures.
Counting

How Many Significant Figures Are in 0.00208?

0.00208 has 3 significant figures because the middle zero is between non-zero digits.

0.00208 has 3 significant figures.
Counting

How Many Significant Figures Are in 90.010?

90.010 has 5 significant figures. Zeros between non-zero digits and trailing decimal zeros count.

90.010 has 5 significant figures.
Rounding

Round 7982 to 2 Significant Figures

7982 rounded to 2 significant figures is 8.0e+3, which avoids ambiguous trailing zeros.

7982 rounded to 2 significant figures is 8.0e+3.
Rounding

Round 0.9978 to 2 Significant Figures

0.9978 rounded to 2 significant figures is 1.0 because the next digit rounds 0.99 upward.

0.9978 rounded to 2 significant figures is 1.0.
Rounding

Round 0.83 to 1 Significant Figure

0.83 rounded to 1 significant figure is 0.8 because the next digit is less than 5.

0.83 rounded to 1 significant figure is 0.8.
Rounding

Round 123.456 to 3 Significant Figures

123.456 rounded to 3 significant figures is 123 because the fourth significant digit is 4.

123.456 rounded to 3 significant figures is 123.
Scientific Notation

Significant Figures in Scientific Notation

In scientific notation, significant figures are counted in the coefficient, not in the power of ten.

1.00e+3 has 3 significant figures.