Which of the following calculations have the correct number of significant figures in the final result? O 2.2 cm + 2.00 cm = 4.20 cm 12.34 g 3.132 cm 3.94 cm³ V 2.0 cm - 1 cm = 1 cm O 11.32 cm x 6.31 cm × 6.762 cm 4.83 × 10² cm V 10.32 cm x 6.31 cm x 6.762 cm = 4.40 × 10² cm³ O 1.0 x 10'g 0.27 cm 37 cm

Perform these operations in scientific notation with the appropriate number of significant figure 2.80*10-5 km + 1.14*105 cm.

In the following calculations, be sure to express the answer in standard scientific notation with the appropriate number of significant figures. 3.78 x < 107 g – 4.701 × 105 g - x 10 g

Convert the following measurements to metric units with power-of-ten prefixes. Do not use scientific or engineering notation. Numeric values must range from 1 to less than 1000. Metric prefixes, which are case-sensitive, must be one of the following: M, m, c, k, or µ. (You may use lower-case 'u' in place of 'p'.) Example: 2.00 × 105 m = 200 km Enter the numeric value in the first box, and enter the metric prefix in the second box. a. 3.51 x 10-5 L = b. 7.98 x 108 J = C. -0.000230 W = - W d. 11,200 K = K (note: upper-case 'K' is the abbreviation for the temperature unit 'kelvin')

An astronomical unit (AU) is the average distance between the Earth and the Sun, approximately 1.50 × 10° km. The speed of light is about 3.00 x 10° m/s. Express the speed of light in astronomical units per minute. Number Units

Part II. Significant Figures The significant figures in a number are all figures that are obtained from the measuring process and exclude those zeros that are included solely for the purpose of locating the decimal point. This definition will be clarified with a number of examples. Number 123 12.3 2016 2.016 2.016 X 10³ 2.01 X 10¹ 2.0 X 10³ 2 X 10³ 10³ 410 410. 4.1 X 10² 4.10 X 10² 41.0 .00159 1.59 X 10 3 0.2 Significant Figures Comments

Consider the physical quantities s, v, a, m, and t with dimensions [s] = L, [v] = LT-¹, [a] = LT-2, [m] = M, and [t] = T. Select the dimensionally consistent equation(s). U √2as = v S = vtm + a = U S = at at² m

16. The number of seconds in 1 week when expressed in scientific notation rounded to the nearest tenths: * 6.0 x 105 s О 7.1 х 106s О 3.3х 107 s O 8.2 x 108s

1.4 Units in equations Given that the following equation calculates position in meters (x) as a function of time in seconds (t): use dimensional analysis to determine the units of the coefficient "u". Xp = Xi + v¡t +,a,t? + 1 2.3/it3+ 2t4/3 2-3 4 2 3.4.54it + 3.7321 · w t3/2 Units of "u" are

Horses are to race over a certain English meadow for a distance of 7.3 furlongs. What is the race distance in units of (a) rods and (b) chains? (1 furlong = 201.168 m, 1 rod = 5.0292 m, and 1 chain = 20.117 m.) %3D %3D (a) Number i Units (b) Number i Units