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The table shows the mass of the planets, the sun and the moon in our solar system. Celestial Body Mass (kg) Mass (kg) Standard Notation Sun 1,990,000,000,000,000,000,000,000,000,000 1.99 × 1030 - Mathematics

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प्रश्न

The table shows the mass of the planets, the sun and the moon in our solar system.

Celestial
Body
Mass (kg) Mass (kg)
Standard
Notation
Sun 1,990,000,000,000,000,000,000,000,000,000 1.99 × 1030
Mercury 330,000,000,000,000,000,000,000  
Venus 4,870,000,000,000,000,000,000,000  
Earth 5,970,000,000,000,000,000,000,000  
Mars 642,000,000,000,000,000,000,000,000,000  
Jupiter 1,900,000,000,000,000,000,000,000,000  
Saturn 568,000,000,000,000,000,000,000,000  
Uranus 86,800,000,000,000,000,000,000,000  
Neptune 102,000,000,000,000,000,000,000,000  
Pluto 12,700,000,000,000,000,000,000  
Moon 73,500,000,000,000,000,000,000  
  1. Write the mass of each planet and the Moon in scientific notation.
  2. Order the planets and the moon by mass, from least to greatest.
  3. Which planet has about the same mass as earth?
योग
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उत्तर

a. Mass of each planet and Moon in scientific notation is given below:

Using law of exponents,

am × an = am + n

Sun = 199 × 1028

= 1.99 × 1028 × 102

= 1.99 × 1030

Mercury = 33 × 1022

= 3.3 × 1022 × 10

= 3.3 × 1023

Venus = 487 × 1022

= 4.87 × 1022 × 102

= 4.87 × 1024

Earth = 597 × 1022

= 5.97 × 1022 × 102

= 5.97 × 1024

Mars = 642 × 1027

= 6.42 × 1027 × 102

= 6.42 × 1029

Jupiter = 19 × 1026

= 1.9 × 1026 × 10

= 1.9 × 1027

Saturn = 568 × 1024

= 5.68 × 1024 × 102

= 5.68 × 1026

Uranus = 868 × 1023

= 8.68 × 1023 × 102

= 8.68 × 1025

Neptune = 102 × 1024

= 1.02 × 1024 × 102

= 1.02 × 1026

Pluto = 127 × 1020

= 1.27 × 1020 × 102

= 1.27 × 1022

Moon = 795 × 1020

= 7.95 × 1020 × 102

= 7.95 × 1022

b. Order of mass of all planets and Moon from least to greatest

Pluto < Moon < Mercury < Venus < Earth < Uranus < Neptune < Saturn < Jupiter < Mars

c. Venus has about the same mass as Earth.

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अध्याय 8: Exponents and Powers - Exercise [पृष्ठ २६२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 8 Exponents and Powers
Exercise | Q 129. | पृष्ठ २६२

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The table shows the average distance from each planet in our solar system to the sun.

Planet Distance from Sun
(km)
Distance from Sun
(km) Standard
Notation
Earth 149,600,000 1.496 × 108
Jupiter 778,300,000  
Mars 227,900,000  
Mercury 57,900,000  
Neptune 4,497,000,000  
Pluto 5,900,000,000  
Saturn 1,427,000,000  
Uranus 2,870,000,000  
Venus 108,200,000  
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  2. Order the planets from closest to the sun to farthest from the sun.

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