1. what are the 7 s.i. base units (and their abbreviations)?\n2. write the abbreviations for each of the…

1. what are the 7 s.i. base units (and their abbreviations)?\n2. write the abbreviations for each of the following:\na) milligram\nb) kilogram\nc) microgram\nd) megaliter\ne) centiliter\nf) kilometer\ng) gigameter\nh) nanometer\n3. write the name of the metric unit abbreviated below:\na) mm\nb) cg\nc) kg\nd) cm\ne) ml\nf) μm\ng) ng\nh) ml\n4. complete the following equivalences:\na) 1.0 m = ______ mm\nb) 30 mg = ______ g\nc) 12 l = ______ ml\nd) 0.025 kw = ______ w\ne) 9.55 ml = ______ l\nf) 120 000 v = ______ mv\ng) 0.000 025 25 g = ______ μg\nh) 450 nm = ______ m\n5. complete the following equivalences:\na) 20 000 kl = ______ ml\nb) 1.5 km = ______ mm\nc) 34 500 mg = ______ kg\nd) 0.000 004 4 ml = ______ ml\ne) 2500 mj = ______ kj\nf) 4.90 μg = ______ ng\ng) 5 432 100 000 μm = ______ km\nh) 0.000 000 1 mv = ______ μv\nscientific notation\n6. write each of the following numbers in scientific notation:\na) 42 000\nb) 500\nc) 7 780 000\nd) 0.000 03\ne) 12\nf) 0.004 00\ng) 0.000 000 444\nh) 0.000 000 001\n7. change each of the following back to its non - exponential form:\na) 6×10^6\nb) 4.4×10^4\nc) 1.23×10^(-4)\nd) 7.256 41×10^3\ne) 3.10×10^(-5)\nf) 5.196×10^4\ng) 8.4×10^(-8)\nh) 6.67×10^0\n8. add and subtract the following:\na) 8.8×10^6 + 4.6×10^6\nb) 5.48×10^(-2) - 2.11×10^(-2)\nc) 2.2×10^4 + 3.3×10^5\nd) 3.3×10^(-4) + 8.1×10^(-5)\ne) 6.23×10^(-9) - 8.5×10^(-10)\nf) 1.6×10^10 - 4.1×10^9

1. what are the 7 s.i. base units (and their abbreviations)?\n2. write the abbreviations for each of the following:\na) milligram\nb) kilogram\nc) microgram\nd) megaliter\ne) centiliter\nf) kilometer\ng) gigameter\nh) nanometer\n3. write the name of the metric unit abbreviated below:\na) mm\nb) cg\nc) kg\nd) cm\ne) ml\nf) μm\ng) ng\nh) ml\n4. complete the following equivalences:\na) 1.0 m = ______ mm\nb) 30 mg = ______ g\nc) 12 l = ______ ml\nd) 0.025 kw = ______ w\ne) 9.55 ml = ______ l\nf) 120 000 v = ______ mv\ng) 0.000 025 25 g = ______ μg\nh) 450 nm = ______ m\n5. complete the following equivalences:\na) 20 000 kl = ______ ml\nb) 1.5 km = ______ mm\nc) 34 500 mg = ______ kg\nd) 0.000 004 4 ml = ______ ml\ne) 2500 mj = ______ kj\nf) 4.90 μg = ______ ng\ng) 5 432 100 000 μm = ______ km\nh) 0.000 000 1 mv = ______ μv\nscientific notation\n6. write each of the following numbers in scientific notation:\na) 42 000\nb) 500\nc) 7 780 000\nd) 0.000 03\ne) 12\nf) 0.004 00\ng) 0.000 000 444\nh) 0.000 000 001\n7. change each of the following back to its non - exponential form:\na) 6×10^6\nb) 4.4×10^4\nc) 1.23×10^(-4)\nd) 7.256 41×10^3\ne) 3.10×10^(-5)\nf) 5.196×10^4\ng) 8.4×10^(-8)\nh) 6.67×10^0\n8. add and subtract the following:\na) 8.8×10^6 + 4.6×10^6\nb) 5.48×10^(-2) - 2.11×10^(-2)\nc) 2.2×10^4 + 3.3×10^5\nd) 3.3×10^(-4) + 8.1×10^(-5)\ne) 6.23×10^(-9) - 8.5×10^(-10)\nf) 1.6×10^10 - 4.1×10^9

Answer

Explanation:

Step1: 7個國際單位制基本單位及縮寫

米 (m)、千克 (kg)、秒 (s)、安培 (A)、開爾文 (K)、摩爾 (mol)、坎德拉 (cd)

Step2: 單位縮寫

a) mg；b) kg；c) μg；d) ML；e) cL；f) km；g) Gm；h) nm

Step3: 單位名稱

a) 毫米；b) 厘克；c) 千克；d) 厘米；e) 毫升；f) 微米；g) 納克；h) 兆升

Step4: 單位換算

a) 1.0 m = 1000 mm；b) 30 mg = 0.03 g；c) 12 L = 12000 mL；d) 0.025 kW = 25 W；e) 9.55 ML = 9550000 L；f) 120000 V = 0.12 MV；g) 0.00002525 g = 25.25 μg；h) 450 nm = 4.5×10⁻⁷ m

Step5: 更多單位換算

a) 20000 kL = 20 ML；b) 1.5 km = 1500000 mm；c) 34500 mg = 0.0345 kg；d) 0.0000044 ML = 4400 mL；e) 2500 mJ = 2.5 kJ；f) 4.90 μg = 4900 ng；g) 5432100000 μm = 5.4321 km；h) 0.0000001 MV = 100 μV

Step6: 科學記數法

a) 4.2×10⁴；b) 5×10²；c) 7.78×10⁶；d) 3×10⁻⁵；e) 1.2×10¹；f) 4×10⁻³；g) 4.44×10⁻⁷；h) 1×10⁻⁸

Step7: 還原非指數形式

a) 6000000；b) 44000；c) 0.000123；d) 7256.41；e) 0.000031；f) 51960；g) 0.000000084；h) 6.67

Step8: 科學記數法加減

a) (8.8 + 4.6)×10⁶ = 13.4×10⁶ = 1.34×10⁷；b) (5.48 - 2.11)×10⁻² = 3.37×10⁻²；c) 2.2×10⁴+33×10⁴ = (2.2 + 33)×10⁴ = 35.2×10⁴ = 3.52×10⁵；d) 3.3×10⁻⁴+0.81×10⁻⁴ = (3.3 + 0.81)×10⁻⁴ = 4.11×10⁻⁴；e) 6.23×10⁻⁹ - 0.85×10⁻⁹ = (6.23 - 0.85)×10⁻⁹ = 5.38×10⁻⁹；f) 16×10⁹ - 4.1×10⁹ = (16 - 4.1)×10⁹ = 11.9×10⁹ = 1.19×10¹⁰

Answer:

上述各步驟答案已在解釋中給出。