Express the given information in Scientific notation and then arrange them in descending order of their size

Solution:

Given, the table represents the planet and their mass in kg.

We have to express it in scientific notation and arrange them in descending order of their size.

Mercury = 330000000000000000000000 kg

= 33 × 10²²

= 3.3 × 10¹ × 10²²

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

= 3.3 × 10^{1 + 22}

= 3.3 × 10²³ kg

Venus = 4870000000000000000000000

= 487 × 10²²

= 4.87 × 10² × 10²²

= 4.87 × 10^{2 + 22}

= 4.87 × 10²⁴ kg

Earth = 5980000000000000000000000

= 598 × 10²²

= 5.98 × 10² × 10²²

= 5.98 × 10^{2 + 22}

= 5.98 × 10²⁴ kg

Mars = 642000000000000000000000

= 642 × 10²¹

= 6.42 × 10² × 10²¹

= 6.42 × 10^{2 + 21}

= 6.42 × 10²³ kg

Jupiter = 1900000000000000000000000000

= 19 × 10²⁶

= 1.9 ×10¹ × 10²⁶

= 1.9 × 10^{1 + 26}

= 1.9 × 10²⁷ kg

Saturn = 569000000000000000000000000

= 569 × 10²⁴

= 5.69 × 10² × 10²⁴

= 5.69 × 10^{2 + 24}

= 5.69 × 10²⁶ kg

Uranus = 86900000000000000000000000

= 869 × 10²³

= 8.69 × 10² × 10²³

= 8.69 × 10^{2 + 23}

= 8.69 × 10²⁵ kg

Neptune = 102000000000000000000000000

= 102 × 10²⁴

= 1.02 × 10² × 10²⁴

= 1.02 × 10^{2 + 24}

= 1.02 × 10²⁶ kg

Pluto = 13100000000000000000000

= 131 × 10²⁰

= 1.31 × 10² × 10²⁰

= 1.31 × 10^{2 + 20}

= 1.31 × 10²² kg

Descending(Decreasing) order is the arrangement of the given numbers from the largest to the smallest.

1.9 × 10²⁷ > 5.69 × 10²⁶ > 1.02 × 10²⁶ > 8.69 × 10²⁵ > 5.98 × 10²⁴ > 4.87 × 10²⁴ > 6.42 × 10²³ > 3.3 × 10²³ > 1.31 × 10²²

Therefore, Jupiter > Saturn > Neptune > Uranus > Earth > Venus > Mars > Mercury > Pluto

✦ Try This: A person gets 3000 calorie energy from his daily meal. Represent in scientific notations, how much energy he will get in one year

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

---

NCERT Exemplar Class 7 Maths Chapter 11 Problem 87

Express the given information in Scientific notation and then arrange them in descending order of their size

Summary:

The given information is expressed in scientific notation as

Mercury = 3.3 × 10²³ kg

Venus = 4.87 × 10²⁴ kg

Earth = 5.98 × 10²⁴ kg

Mars = 6.42 × 10²³ kg

Jupiter = 1.9 × 10²⁷ kg

Saturn = 5.69 × 10²⁶ kg

Uranus = 8.69 × 10²⁵ kg

Neptune = 1.02 × 10²⁶ kg

Pluto = 1.31 × 10²² kg

The given information in descending order of their size is Jupiter > Saturn > Neptune > Uranus > Earth > Venus > Mars > Mercury > Pluto

---

☛ Related Questions:

• Write the number of seconds in scientific notation
• On our own planet Earth, 361,419,000 square kilometers of area is covered with water and 148,647,000 . . . .
• If 2n+2 - 2n+1 + 2ⁿ = c × 2ⁿ, find the value of c