Round each of the numbers to three significant figures 3 SF

Round each of the numbers to three significant figures (3 S.F.) Remember to write \"0\" left of decimal point for numbers less than 1. 372.1 5.719 0.3415 2, 607, 566 72.749 0.40852 0.0353 2.205 323, 412 3234 6728 47, 356 Write each of the numbers in SCIENTIFIC NOTATION 0.85 923.049 -2, 607, 566 -50.603 0.007171 -0.0000000439 30,000,000 49.243 673.128 0.000432 0.831 640,000 Write each of the numbers in CONVENTIONAL NOTATION 7.671 Times 10^-4 -2.314 Times 10^3 1.723 Times 10^6 -5.918 Times 10^4 5.15 Times 10^-6 4.723 Times 10^3 6.78 Times 10^-5 -3.12 Times 10^-1 Using a calculator, carry out each of the computations indicated below with answers in CONVENTIONAL NOTATION to least number of significant figures. (5.266 Times 10^3) + (6.18 Times 10^2) (2.886 Times 10^-3) - (0.465 Times 10^-2) (7.23 Times 10^-4) Times (3.033 Times 10^2) (2.407 Times 10^7)/(8.026 Times 10^5)

Solution

e) 72.749 = 72.749       f) 0.40852 = 0.409   g) 0.0353 = 0.035     h) 2.205 = 2.205

i) 323,412 = 323,412    j) 3234 = 3234           k) 6728 = 6728         l) 47,356 = 47,356

        2. a) 0.85 = 8.5x 10^-1   b) 923.049 = 92304.9x 10^-2   c) 0.3415 = 341.5x 10^-3 d) -50.603 = -5060.3x10^-2

e) 0.007171 = 717.1x10^-5         f) -0.0000000439 = -43.9x10^-9       g) 30,000,000 = 3x10⁷

             h) 49.243 = 4924.3x10^-2 i) 673.128 = 67312.8x 10^-2 j) 0.000432 = 43.2x10^-5 k) 0.831 = 83.1x10^-2

l) 640,000 = 6.4x10⁵

        3.   a) 7.672x10^-4 = 0.0007672 = 0.001   b) -2.314x10³ = -2,314   c) 1.723x10⁶ =1,723,000

              d) -5.918x10⁴ = -59,180 e) 5.15x10^-6 = 0.00000515 =0.000 f) 4.723x10³ = 4,723

              g) 6.778x10^-5 = 0.00006778 = 0.000 h) -3.12x10^-1 = -0.312

       4.   a) (5.264x10³) + ( 6.18x10²) = (5,264)(618) = 3,243,152

             b) (2.886x10^-3) – (0.465x10^-2) = (0.002886 ) –(0.00465) = -0.001764 = -0.002

            c) (7.23x10^-4)x(3.033x10²) = (0.000723)x(303.3) = 0.2192859 = 0.2

             d) (2.407x10⁷)/ (8.026x10⁵) = (240.7x10⁵)/ (8.026x10⁵) = 240.7/8.026 = 29.99003239 = 29.99