Express the following numbers in standard form.(a) 76,47,000(b) 8,19,0

1.	Express the following numbers in standard form.(a) 76,47,000(b) 8,19,00,000(c) 5,83,00,00,00,000 (d) 24 billion
Answer» (a) We have, 76,47,000 = 7647000,00 A number in standard form is written as a x 10^k, where a is the terminating decimal such that 1 < a < 10 and k is any integer. So,7647000 = 7647 x 10³ = 7.647 x 10³ x 10³ = 7.647 x 10⁶ Similarly, (b) 8,19,00,000 = 81900000.00 = 819 x 10 s = 8.19 x 10² x 10⁵ = 8.19 x 10⁷ (c) 5,83,00,00,00,000 = 583000000000.00 = 583 x 10⁹ = 5.83 x 10² x 10⁹ = 5.83 x 10¹¹ (d) 24 billion = 24,00,00,00,000 = 24 x 10⁹ = 2.4 x 10¹ x 10⁹ = 2.4 x 10¹⁰

Express the following numbers in standard form.(a) 76,47,000(b) 8,19,00,000(c) 5,83,00,00,00,000 (d) 24 billion

Answer»

(a) We have, 76,47,000 = 7647000,00

A number in standard form is written as a x 10^k, where a is the terminating decimal such that 1 < a < 10 and k is any integer.

So,7647000 = 7647 x 10³

= 7.647 x 10³ x 10³ = 7.647 x 10⁶

Similarly,

(b) 8,19,00,000 = 81900000.00

= 819 x 10 s

= 8.19 x 10² x 10⁵

= 8.19 x 10⁷

(c) 5,83,00,00,00,000 = 583000000000.00

= 583 x 10⁹

= 5.83 x 10² x 10⁹

= 5.83 x 10¹¹

(d) 24 billion = 24,00,00,00,000

= 24 x 10⁹

= 2.4 x 10¹ x 10⁹

= 2.4 x 10¹⁰