Scientific Notations

51 00,00,000 sq m
= 51× 1,00,00,000
= 51× 10⁷
= 5.1× 10×10⁷
= 5.1× 10⁸ sq km

Land in a village is about 3.75 × 10 ⁴ acres
= 3.75 × 10 ⁴
= 3.75 ×10×10×10×10
= 3.75 ×10000
= 37500

= 0.3 × 10² ×100
= 0.3 × 10⁴
= 0.3 × 10× 10 × 10× 10
= 3000 kg.

(5×10^a) × (2×10^b)
Multiply the numbers and add the exponent of 10.
= (5×2) × 10^a+b
= (10) × 10^a+b

(8×10⁵) × (7×10²)
Multiply the numbers and add the exponent of 10.
= (8×7) × 10⁵⁺²
=(56) × 10⁷
=5,60,00,0000
= 5.6× 10⁸

(10×10^a) ÷ (5×10^b)
Divide the numbers and subtract the exponents of 10.
= `(10/5)` × 10^a-b
= 2× 10^a-b

(75×10⁸) ÷ (5×10⁴)
= `(75/5)` × 10^8-4
= 15× 10⁴

(8×10⁵) × (7×10²) / (4×10⁵)
= (8×7) × 10⁵⁺²/ (4×10⁵)
= (56× 10⁷) ÷ 4×10⁵
= 56/4 × 10^7-5
= 14× 10²
= 1400
= 1.4× 10³

Speed of light is 300,000,000 m/s. = 300,000 km/s= 3× 10⁵
Distance between the sun and the earth is 15,00,00,000 km.= 15,00,00,000 km= 15 × 10⁷
We have to find the time that sun's light to reach to the earth.
Now time= distance / speed
So that, if we put the values here for distance and speed we can find the time
Time= distance / speed
= 15× 10⁷/ 3× 10⁵
= 5× 10^7-5
= 5× 10²