significant figures worksheet\n1. indicate how many significant figures there are in each of the following…

significant figures worksheet\n1. indicate how many significant figures there are in each of the following measured values.\n246.32 __________ 1.008 __________ 700000 __________\n107.854 __________ 0.00340 __________ 350.670 __________\n100.3 __________ 14.600 __________ 1.0000 __________\n0.678 __________ 0.0001 __________ 320001 __________\n2. calculate the answers to the appropriate number of significant figures.\n32.567\n135.0\n+ 1.4567\n__________\n246.24\n238.278\n+ 98.3\n__________\n658.0\n23.5478\n+ 1345.29\n__________\n3. calculate the answers to the appropriate number of significant figures.\na) 23.7 x 3.8 = __________ e) 43.678 x 64.1 = __________\nb) 45.76 x 0.25 = __________ f) 1.678 / 0.42 = __________\nc) 81.04 x 0.010 = __________ g) 28.367 / 3.74 = __________\nd) 6.47 x 64.5 = __________ h) 4278 / 1.006 = __________

significant figures worksheet\n1. indicate how many significant figures there are in each of the following measured values.\n246.32 __________ 1.008 __________ 700000 __________\n107.854 __________ 0.00340 __________ 350.670 __________\n100.3 __________ 14.600 __________ 1.0000 __________\n0.678 __________ 0.0001 __________ 320001 __________\n2. calculate the answers to the appropriate number of significant figures.\n32.567\n135.0\n+ 1.4567\n__________\n246.24\n238.278\n+ 98.3\n__________\n658.0\n23.5478\n+ 1345.29\n__________\n3. calculate the answers to the appropriate number of significant figures.\na) 23.7 x 3.8 = __________ e) 43.678 x 64.1 = __________\nb) 45.76 x 0.25 = __________ f) 1.678 / 0.42 = __________\nc) 81.04 x 0.010 = __________ g) 28.367 / 3.74 = __________\nd) 6.47 x 64.5 = __________ h) 4278 / 1.006 = __________

Answer

Explanation:

Step1: Determine significant - figures rules

Non - zero digits are always significant. Zeros between non - zero digits are significant. Trailing zeros in a number with a decimal point are significant. Leading zeros are not significant. Trailing zeros in a whole number without a decimal point may or may not be significant, but in scientific work, they are often considered not significant.

Step2: Count significant figures for each value in part 1

  • 246.32: 5 significant figures (all digits are non - zero or between non - zero digits).
  • 1.008: 4 significant figures (zeros between non - zero digits are significant).
  • 700000: 1 significant figure (trailing zeros in a whole number without a decimal point are not significant).
  • 107.854: 6 significant figures.
  • 0.00340: 3 significant figures (leading zeros are not significant, trailing zero after non - zero digits is significant).
  • 350.670: 6 significant figures.
  • 100.3: 4 significant figures.
  • 14.600: 5 significant figures.
  • 1.0000: 5 significant figures.
  • 0.678: 3 significant figures.
  • 0.0001: 1 significant figure.
  • 320001: 6 significant figures.

Step3: Perform addition and round for part 2

  • (32.567+135.0 + 1.4567=169.0237). Rounding to the least number of decimal places (1 decimal place from 135.0), the answer is 169.0.
  • (246.24+238.278 + 98.3=582.818). Rounding to 1 decimal place (from 98.3), the answer is 582.8.
  • (658.0+23.5478+1345.29 = 2026.8378). Rounding to 1 decimal place (from 658.0), the answer is 2026.8.

Step4: Perform multiplication/division and round for part 3

  • (23.7\times3.8 = 89.06). Rounding to 2 significant figures (the least number of significant figures in the factors), the answer is 89.
  • (45.76\times0.25=11.44). Rounding to 2 significant figures (from 0.25), the answer is 11.
  • (81.04\times0.010 = 0.8104). Rounding to 2 significant figures (from 0.010), the answer is 0.81.
  • (6.47\times64.5 = 417.215). Rounding to 3 significant figures (the least number of significant figures in the factors), the answer is 417.
  • (43.678\times64.1=2800.7598). Rounding to 3 significant figures (from 64.1), the answer is 2800.
  • (1.678\div0.42 = 3.995238). Rounding to 2 significant figures (from 0.42), the answer is 4.0.
  • (28.367\div3.74 = 7.58476). Rounding to 3 significant figures (from 3.74), the answer is 7.58.
  • (4278\div1.006 = 4252.485). Rounding to 4 significant figures (from 4278), the answer is 4252.

Answer:

246.32: 5 1.008: 4 700000: 1 107.854: 6 0.00340: 3 350.670: 6 100.3: 4 14.600: 5 1.0000: 5 0.678: 3 0.0001: 1 320001: 6 2. 169.0 582.8 2026.8 3. a) 89 b) 11 c) 0.81 d) 417 e) 2800 f) 4.0 g) 7.58 h) 4252