Ch 2 Wks #1-Rounding and Significant Figs
Ch 2 Wks #1-Rounding and Significant Figs Name___________________
Rules for significant figures
Non-zero digits are always significant.
Examples: 657 has ______ significant figures
1435 has _____ significant figures
Leading zeroes are not significant.
Examples: 0.00682 has _____ significant figures
0.035 has _____ significant figures
Imbedded zeroes are always significant.
Examples: 1.072 has _____ significant figures
0.0108 has _____ significant figures
Trailing zeroes are significant if there is a decimal point.
Examples: 300 has _____ significant figures
300. has _____significant figures
300.0 has _____ significant figures
0.0030 has _____ significant figures
Practice: How many significant figures do the following numbers have?
A. 678.0 ______ C. 0.0678 ______
B. 6780 ______ D 6708 ______
Rounding –
Round 0.06507 to the indicated number of significant figures.
A. 3 _______ C. 2 ______
B. 1 _______
Round 8083.05 to the indicated number of significant digits.
A. 1 _______ B. 3 _______ C. 4 _______
Operations
Addition or Subtraction: The last digit retained is set by the first doubtful digit.
Examples: 4.7832 1.0236
1.234 − 0.97268
+ 2.02
Multiplication and Division: The answer contains no more significant figures than the least accurately known number.
Examples: 2.8723 × 1.6 = ________
45.2 ÷ 6.3578 = ________
Practice:
1. How many significant figures are contained in each of the following measurements?
a. 37.4 g b. 6070. dm
c. 0.009 03 km d. 605.03 g
e. 350.0 K
2. Round off each of the following measurements to the indicated number of significant figures.
a. 35.27 g to 3 significant figures
b. 0.414 kL to 2 significant figures
c. 87.257 dm to 3 significant figures
d. 135 K to 2 significant figures
e. 6250 cm to 2 significant figures
3. Round off 359.78 to the indicated number of significant figures.
a. 2
b. 3
c. 4
d. 1
4. Perform the following calculations and express the answers with the correct number of significant figures.
a. 6.43 mL + 2.016 mL
b. 2.50 g / 0.04 cm3
c. 6.821 m + 2.0 m + 0.45 m
d. 107.38 L - 65 L
e. 26.50 dm × 0.062 dm
f. 1.30 g / 0.02 cm3
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