मराठी

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?
बेरीज
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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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पाठ 8: Exponents and Powers - Exercise [पृष्ठ २६२]

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

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