Consider the following numbers. How many decimal places and significant figures

Question

Consider the following numbers. How many decimal places and significant figures are in which? 523.36 m Decimal places: significant figures: ___ 0.0007810 m/s Decimal places: significant figures: ___ 4.2 times 10^-2 m/s^2 Decimal places: significant figures: ___ 7.0300 times 10^2 m/s Decimal places: significant figures: ___ Consider the velocity in the direction r, as a function of time 1 or a point particle shown in the figure below where t_1 = 3.00s v_x1 = 1.50 m/s t_2 = 6.00 s v_x2 = 3.75 m/s t_3 = 9.00 s. What is the speed of the point particle at t_1 = 3.00 s? What is the speed of the point particle at t_2 = 6.00 s?

Explanation / Answer

1) a) 527.36

Decimal places : 5 = hundreds = 500, 2= tens=20, 7 = 3 = tenths=0.3, 6 = hundredths= 0.06

Significant figures = 5

b) 0.0007810

Decimal places : 7 = ten thosandths = 0.0007, 8 = hundred thousandths = 0.00008 , 1 = thousand thousandths =0.000001  

Significant figures = 4

c) 4.29*10-2 m/s2 = 0.0429

Decimal places : 4 = hundredths, 2 = thosandths, 9 = ten thousandths

Significant figures : 3

d) 7.0300*105 m/s = 703000.0

Decimal places : 7 = hundred thousands = 700000, 3 = thousands = 3000

Significant figures = 3

2) From given values and graph

v at t = 3.0 s is,

v = 1.50 m/s and

v at t = 6.0 s is ,

v = 3.75 m/s

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