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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

Archives

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

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

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

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

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

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

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

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

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

Simplify: (3⁵ × 10 ⁵× 2⁵)/ (5⁷ × 6⁵)

Simplify: (2⁵ × 5² × t⁸)/ (10³ × t⁴)

Simplify: ((2²)² × 7³)/ (8³ × 7)

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

Say true or false and justify your answer: 3⁰ = (1000)⁰

Say true or false and justify your answer: 2³ × 3² = 6⁵

Say true or false and justify your answer: 2³ > 5²

Say true or false and justify your answer: 10 × 10¹¹= 100¹¹

Simplify and express each of the following in exponential form: (2³ × 2)²

Simplify and express each of the following in exponential form: (45 × a⁸b³)/ (45 × a⁵b²)

Simplify and express each of the following in exponential form: (a⁵/a³) × a⁸

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