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REPORT SHEET Conversion Factors and Problem Solving A. Rounding Off Initial Number 143.63212 532 800 0.008 583 45 Student's 1. Correet? 2. Corrected (if needed Rounded Value (yes/no) 144 533 0.009 8.00 B. Significant Figures in Calculations B.1 Multiplication and Division Perform the following multiplication and division calculations. Give a final answer with the correct number of significant figures: 0.1 1 84 × 8.00 × 0.0345 (42.4)(15.6) 1.265 (35.56)(1.45) (4.8X0.56) B.2 Addition and Subtraction Perform the following addition and subtraction calculations. Give a final answer with the correct number of decimal places 13.45 mL+0.4552 mL 145.5 m +86.58 m+1045 m 245.625 g-80.2 g 4.62cm-0.885 cm Conversion Factors and Problem Solving 3 Area 1. Your measurements 3. Another student's measurements Length Width Area (2., 4.) Why could two students obtain different values for the calculated area of the same rectangle? B.4 Volume of a Solid 1. Shape of the solid Dimensions to measure Length Diameter (if cylinder) 2. Height Width 3. Formula for volume of solid Volume of the solid Show calculations of volume, including the units.)

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Step 1/2

A. Rounding off

B. 1. `0.1184*8.00*0.0345=0.0326784`

significant figures in 0.1184 = 4

significant figures in 8.00 = 3

significant figures in0.0345 = 3

Hence, the result will be rounded off to 3 significant figure

So, the value will be 0.0327

2. `((42.4)(15.6))/(1.265)=522.8775`

significant figures in 42.4 = 3

significant figures in 15.6 = 3

significant figures in 1.265 = 4

Hence, the result will be rounded off to 3 significant figure

So, the value will be 523.

3. `((35.56)(1.45))/((4.8)(0.56))=19.1823` significant figures in 35.56 = 4

significant figures in 1.45 = 3

significant figures in 4.8 = 2

significant figures in 0.56 = 2

Hence, the result will be rounded off to 2 significant figure

So, the value will be 19.

Step 2/2

B2. Addition and Subtraction Perform the following addition and subtraction calculations.

`13.45 mL+0.4552 mL=13.91mL` (least decimal point 2)

`145.5 m+86.58 m+1045 m=1277.1` (least decimal point 1)

`245.625 g−80.2 g=165.4` (least decimal point 1)

`4.62 cm−0.885 cm=3.74` (least decimal point 2)

B3. Area

As measurements are not given, I am assuming any measurement

Explanation:

The figure is a rectangle, So, `Area =Length X Width`

Two students obtain different values for the calculated area of the same rectangle, which may be due to the incorrect measurement of length and width.

B.4 Volume of Solid

1. Shape of the solid - Rectangular solid

Dimension to measure - Length, width, Height

2. Height = 3.5 cm Length = 4.5 cm

Width = 3.8 cm

3. Formula for volume of solid Volume =Length X Width X Height

The volume of the solid = `4.5cm * 3.8cm * 3.5 cm=59.8cm^3`

Alternate calculation

B.4 Volume of Solid

1. Shape of the solid - Cylinder

Dimension to measure - Height, Diameter

2. Height = h = 4.2 cm

Diameter = d = 2.5 cm

3. Formula for volume of solid Volume = `(pi*d^2*h)/4`

The volume of the solid = `(pi*d^2*h)/4=(3.14*2.5^2*4.2)/4=20.6cm^3`

Final Answer

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