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Express the number appearing in the following statement in standard form: The universe is estimated to be about 12,000,000,000 years old.

The universe is estimated to be about 12,000,000,000 years old. Answer The given number can be expressed in standard form as 1.2 × 1010 years old.... View Article

Express the number appearing in the following statement in standard form: In a galaxy there are on an average 100,000,000,000 stars.

In a galaxy, there are on average 100,000,000,000 stars. Solution:- The given number can be expressed in standard form as 1 × 1011 stars.... View Article

Express the number appearing in the following statement in standard form: Diameter of the Sun is 1,400,000,000 m.

Diameter of the Sun is 1,400,000,000 m. Answer The given number can be expressed in standard form as 1.4 × 109m.... View Article

Express the number appearing in the following statement in standard form: Diameter of the Earth is 1,27,56,000 m.

The diameter of the Earth is 1,27,56,000 m. Answer The given number can be expressed in standard form as 1.2756 × 107m.... View Article

Express the number appearing in the following statement in standard form: Speed of light in vacuum is 300,000,000 m/s.

Speed of light in vacuum is 300,000,000 m/s. Answer The given number can be expressed in standard form as 3 × 108m/s.... View Article

Express the number appearing in the following statement in standard form: The distance between Earth and Moon is 384,000,000 m.

The distance between Earth and Moon is 384,000,000 m. Answer The given number can be expressed in standard form as 3.84 × 108m.... View Article

Express the following numbers in standard form: (i) 5,00,00,000 (ii) 70,00,000 (iii) 3,18,65,00,000 (iv) 3,90,878 (v) 39087.8 (vi) 3908.78

(i) 5,00,00,000 Answer The given number can be expressed in standard form as 5 × 107 (ii) 70,00,000 Answer The given number can be... View Article

Find the number from each of the following expanded forms: (9 ×10)⁵ + (2 × 10)² + (3 × 10)¹

Solution (9 ×10)5 + (2 × 10)2 + (3 × 10)1 The expanded form of given expression is = (9 × 100000) + (0... View Article

Find the number from each of the following expanded forms: (3 ×10)⁴ + (7 × 10)² + (5 × 10)⁰

Solution (3 ×10)4 + (7 × 10)2 + (5 × 10)0 The expanded form of given expression is = (3 × 10000) + (0... View Article

Find the number from each of the following expanded forms: (4 ×10)⁵ + (5 × 10)³ + (3 × 10)² + (2 × 10)⁰

Solution (8 ×10)4 + (6 × 10)3 + (0 × 10)2 + (4 × 10)1 + (5 × 10)0 The expanded form of given... View Article

Find the number from each of the following expanded forms: (8 ×10)⁴ + (6 × 10)³ + (0 × 10)² + (4 × 10)¹ + (5 × 10)⁰

Solution (8 ×10)4 + (6 × 10)3 + (0 × 10)2 + (4 × 10)1 + (5 × 10)0 The expanded form of given... View Article

Write the following numbers in the expanded forms: 279404, 3006194, 2806196, 120719, 20068.

279404 Answer The expanded form of the number 279404 is, = (2 × 100000) + (7 × 10000) + (9 × 1000) + (4 × 100) + (0... View Article

Simplify: (3⁵ × 10 ⁵× 2⁵)/ (5⁷ × 6⁵)

Solution (35 × 105 × 25)/ (57 × 65) 105 can be expressed as = (5 × 2)5 = 55 × 25 25 can be expressed as = 5 × 5 = 52 65 can be expressed as... View Article

Simplify: (2⁵ × 5² × t⁸)/ (10³ × t⁴)

Solution (25 × 52 × t8)/ (103 × t4) 25 can be expressed as = 5 × 5 = 52 103 can be expressed as = 103 = (5... View Article

Simplify: ((2²)² × 7³)/ (8³ × 7)

Solution ((25)2 × 73)/ (83 × 7) We know that 83 can be expressed as = (2 × 2 × 2)3 = (23)3 Now on... View Article

Express each of the following as a product of prime factors only in exponential form: (i) 108 × 192 (ii) 270 (iii) 729 × 64 (iv) 768

(i) 108 × 192 Answer On prime factorisation of 108 = 2 × 2 × 3 × 3 × 3 = 22 × 33 On prime... View Article