Υπολογιστής Sig Fig

Πώς να χρησιμοποιήσετε αυτήν την αριθμομηχανή

1. Εισαγάγετε Number
2. Εισαγάγετε Round to N Sig Figs
3. Κάντε κλικ στο κουμπί Υπολογισμός
4. Διαβάστε το αποτέλεσμα που εμφανίζεται κάτω από την αριθμομηχανή

What are Significant Figures?

Significant figures (sig figs) are the meaningful digits in a measurement. They indicate the precision of a value. Rules for counting sig figs:

• All non-zero digits are significant (e.g., 123 has 3 sig figs)
• Zeros between non-zero digits are significant (e.g., 1001 has 4 sig figs)
• Leading zeros are NOT significant (e.g., 0.005 has 1 sig fig)
• Trailing zeros after a decimal point ARE significant (e.g., 1.500 has 4 sig figs)
• Trailing zeros without a decimal point are ambiguous (e.g., 100 might have 1, 2, or 3 sig figs)

How to Round to Significant Figures

To round 0.004567 to 3 significant figures:

1. Identify the first significant figure: 4 (the leading zeros don't count)
2. Count 3 significant figures from there: 4, 5, 6
3. Look at the next digit (7): since 7 ≥ 5, round up the last kept digit
4. Result: 0.00457

When rounding large numbers, use scientific notation to avoid ambiguity. For example, 12,345 rounded to 3 sig figs = 1.23 × 10⁴ = 12,300.

Sig Figs in Calculations

When performing calculations, the result should be rounded to match the precision of the least precise input:

• Multiplication/Division: The result has as many sig figs as the input with the fewest sig figs. 2.1 × 3.45 = 7.245, rounded to 2 sig figs = 7.2
• Addition/Subtraction: The result has as many decimal places as the input with the fewest decimal places. 1.23 + 4.1 = 5.33, rounded to 1 decimal = 5.3

Frequently Asked Questions