1. convert the following measurements from ordinary notation to scientific notation. dont forget your units…

1. convert the following measurements from ordinary notation to scientific notation. dont forget your units! note: all numbers in scientific notation are expressed as a number between 1 and 10 (x) 10 raised to a power. a few more examples are: 314.15 = 3.1415 x 10² 0.00042 = 4.2 x 10⁻⁴ 234.5 x 10² = 2.345 x 10⁴ 1.350 = 1.35 x 10³ 0.002 = 2.0 x 10⁻³

1. convert the following measurements from ordinary notation to scientific notation. dont forget your units! note: all numbers in scientific notation are expressed as a number between 1 and 10 (x) 10 raised to a power. a few more examples are: 314.15 = 3.1415 x 10² 0.00042 = 4.2 x 10⁻⁴ 234.5 x 10² = 2.345 x 10⁴ 1.350 = 1.35 x 10³ 0.002 = 2.0 x 10⁻³

Answer

Explanation:

Step1: Recall scientific - notation rule

Scientific notation is of the form (a\times 10^{n}), where (1\leqslant a<10) and (n) is an integer.

Step2: Convert Milky - Way diameter

The diameter of the Milky - Way is (1000000000000000000000000) miles. Move the decimal point 23 places to the left, so (a = 1) and (n=23). In scientific notation, it is (1\times 10^{23}) miles.

Step3: Convert tungsten melting - point

The melting point of tungsten is (3410^{\circ}C). Move the decimal point 3 places to the left, so (a = 3.41) and (n = 3). In scientific notation, it is (3.41\times 10^{3}^{\circ}C).

Step4: Convert Avogadro's number

Avogadro's number is (602300000000000000000000). Move the decimal point 23 places to the left, so (a=6.023) and (n = 23). In scientific notation, it is (6.023\times 10^{23}).

Step5: Convert atomic mass unit

The atomic mass unit is (0.00000000000000000000000166) g. Move the decimal point 24 places to the right, so (a = 1.66) and (n=-24). In scientific notation, it is (1.66\times 10^{-24}) g.

Step6: Convert uranium - 235 half - life

The half - life of uranium - 235 is (710000000) years. Move the decimal point 8 places to the left, so (a = 7.1) and (n = 8). In scientific notation, it is (7.1\times 10^{8}) years.

Step7: Convert speed of light

The speed of light in a vacuum is (299793000) m/s. Move the decimal point 8 places to the left, so (a = 2.99793) and (n = 8). In scientific notation, it is (2.99793\times 10^{8}) m/s.

Step8: Convert sodium light wavelength

The wavelength of sodium light is (0.0000005893) meters. Move the decimal point 7 places to the right, so (a = 5.893) and (n=-7). In scientific notation, it is (5.893\times 10^{-7}) m.

Answer:

Diameter of the Milky - Way: (1\times 10^{23}) miles Melting point of tungsten: (3.41\times 10^{3}^{\circ}C) Avogadro's number: (6.023\times 10^{23}) Atomic mass unit: (1.66\times 10^{-24}) g Half - life of uranium - 235: (7.1\times 10^{8}) years Speed of light in a vacuum: (2.99793\times 10^{8}) m/s Wavelength of sodium light: (5.893\times 10^{-7}) m