Questions: You are given a series of mathematical operations to perform and make a table including the calculated value as displayed on your calculator: Mathematical operation Value displayed by calculator --------------------------------------------------------- 1.073 g + 4.154 g + 1.06 g + 4.5 g 10.7870 g 1.073 g + 1.06 g 1.13738 g^2 4.154 g - 1.06 g 3.09400 g 4.154 g / 31.0341 0.133853 g 4.5 g / 31.0341 0.145002 g Sort the values displayed by the calculator according to the number of significant figures they should contain after you conduct the appropriate rounding of the values. 0.133853 3.09400 10.7870 0.145002 1.13738 Round to 1 significant figure Round to 2 significant figures Round to 3 significant figures Round to 4 significant figures

You are given a series of mathematical operations to perform and make a table including the calculated value as displayed on your calculator:

Mathematical operation  Value displayed by calculator
---------------------------------------------------------
1.073 g + 4.154 g + 1.06 g + 4.5 g  10.7870 g
1.073 g + 1.06 g  1.13738 g^2
4.154 g - 1.06 g  3.09400 g
4.154 g / 31.0341  0.133853 g
4.5 g / 31.0341  0.145002 g

Sort the values displayed by the calculator according to the number of significant figures they should contain after you conduct the appropriate rounding of the values.

0.133853
3.09400
10.7870
0.145002
1.13738

Round to 1 significant figure

Round to 2 significant figures

Round to 3 significant figures

Round to 4 significant figures
Transcript text: You are given a series of mathematical operations to perform and make a table including the calculated value as displayed on your calculator: \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Mathematical operation } & Value displayed by calculator \\ \hline $1.073 \mathrm{~g}+4.154 \mathrm{~g}+1.06 \mathrm{~g}+4.5 \mathrm{~g}$ & 10.7870 g \\ \hline $1.073 \mathrm{~g}+1.06 \mathrm{~g}$ & $1.13738 \mathrm{~g}^{2}$ \\ \hline $4.154 \mathrm{~g}-1.06 \mathrm{~g}$ & 3.09400 g \\ \hline $4.154 \mathrm{~g} / 31.0341$ & 0.133853 g \\ \hline $4.5 \mathrm{~g} / 31.0341$ & 0.145002 g \\ \hline \end{tabular} Sort the values displayed by the calculator according to the number of significant figures they should contain after you conduct the appropriate rounding of the values. Drag the appropriate items to their respective bins. View Avallable Hint(s) Reset Help 0.133853 3.09400 10.7870 0.145002 1.13738 Round to 1 significant Round to 2 significant Round to 3 significant Round to 4 significant figure figures figures figures
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Number of Significant Figures
  • 0.133853: 6 significant figures
  • 3.09400: 6 significant figures
  • 10.7870: 6 significant figures
  • 0.145002: 6 significant figures
  • 1.13738: 6 significant figures
Step 2: Round to 1 Significant Figure
  • 0.133853: Round to 0.1
  • 3.09400: Round to 3
  • 10.7870: Round to 10
  • 0.145002: Round to 0.1
  • 1.13738: Round to 1
Step 3: Round to 2 Significant Figures
  • 0.133853: Round to 0.13
  • 3.09400: Round to 3.1
  • 10.7870: Round to 11
  • 0.145002: Round to 0.15
  • 1.13738: Round to 1.1
Step 4: Round to 3 Significant Figures
  • 0.133853: Round to 0.134
  • 3.09400: Round to 3.09
  • 10.7870: Round to 10.8
  • 0.145002: Round to 0.145
  • 1.13738: Round to 1.14
Step 5: Round to 4 Significant Figures
  • 0.133853: Round to 0.1339
  • 3.09400: Round to 3.094
  • 10.7870: Round to 10.79
  • 0.145002: Round to 0.1450
  • 1.13738: Round to 1.137
Step 6: Sort Values into Bins
  • Round to 1 significant figure: 0.1, 3, 10, 0.1, 1
  • Round to 2 significant figures: 0.13, 3.1, 11, 0.15, 1.1
  • Round to 3 significant figures: 0.134, 3.09, 10.8, 0.145, 1.14
  • Round to 4 significant figures: 0.1339, 3.094, 10.79, 0.1450, 1.137

Final Answer

  • Round to 1 significant figure: \( \{0.1, 3, 10, 0.1, 1\} \)
  • Round to 2 significant figures: \( \{0.13, 3.1, 11, 0.15, 1.1\} \)
  • Round to 3 significant figures: \( \{0.134, 3.09, 10.8, 0.145, 1.14\} \)
  • Round to 4 significant figures: \( \{0.1339, 3.094, 10.79, 0.1450, 1.137\} \)
Was this solution helpful?
failed
Unhelpful
failed
Helpful