A rectangular plate has a length of (16.2 ± 0.2) cm and a width of (9.6 ± 0.1) cm. Calculate the area of the plate, including its uncertainty. 4.0 155.5 Check the number of significant figures. ± 40/ cm? More Information.

Starting with the definition that 1.00 in. = 2.54 cm, find the number of kilometers in 3.107 miles, and the number of feet in 1.00 km.

Which of the following pairs of measured numbers have the same uncertainty or error in both numbers? (mark all correct responses) Choose all that apply. a) 3.45 x 10-3 and 5.400 x 10-2 b) 4.6 x 105 and 2.9 x 106 c) 3.305 x 107 and 7.15 x 105 d) 4.8 x 10-4 and 0.34501 e) 45,700 and 4.9 x 104

A rectangular solid measures 1.1 m by 3.3 cm by 8.0 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet. m3

The uncertainty in the measurement 1500 m is A) ± 1000 m B) ± 100 m C) ± 10 m D) ± 1 m

USING LENGTH MEASUREMENTS MADE WITH A CENTIMETER RULER             U.S. MINT MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER CALCULATE CALCULATE COIN  Measured MASS m (grams)   Measured Diameter d (cm) Measured Thickness t (cm)  Volume , V=(π*(d^2)* t)/4 (cm^3) Mass Density ρ= m/V (grams/cm^3)  SIG. FIGS.           Dime 2.268 1.76 0.14 ? ? Penny 2.500 1.88 0.152 ? ? Quarter 5.670 2.36 0.175 ? ?                         UNCERTAINTIES      COIN Uncertainty in mass δm (grams) (taken as EXACT) Uncertainty in Diameter δd (cm)  (taken as EXACT) Uncertainty in Thickness δt (cm)  (taken as EXACT)     SIG. FIGS.           Dime 0.001 0.05 0.05 ? ? Penny 0.001 0.05 0.05 ? ? Quarter 0.001 0.05 0.05 ? ?

a. Multiply (1.359 x 109 m) by (2.4 x 10-¹0 m). Express your answer in scientific notation. b. Divide 1.24 x 108 m by 0.00020 sec. Express your answer in scientific notation and by using a prefix.

1.3 The Role of Units in Problem Solving A particular convenience store offers a drink called the "MegaGulp". If the cup holds 107 fl oz. of liquid and we treat the "Mega" in the name as a metric prefix, how many mL are in a "Gulp"? O 0.000107 O 0.000000362 O 316000000 O 0.00317 Save for Later Submit Answer

7. A cylinder ħas á radius of 4.6 ± 0.4 cm and a height of 5.36 ± 0.3 cm. (a) Find the volume of this cylinder and its uncertainty in cubic centimeters. (Hint: The formula for the volume of a cylinder is V = TT r2 h.) (b) Find the % uncertainty for r, h and V. (c) Find the volume of this cylinder in cubic meters. 2 3 4 r with the appropriate ing water, heated by heat. Beakers 1 and 2 of water. The height of of the flame under ine the change in

a) Which is more useful for measuring precision of measurements, percent difference or percent error? Explain. b) error? Explain. Which is more useful for measuring accuracy of measurements, percent difference or percent