An electron’s mass is approximately 9.1093826 x 10-31 kilograms. Wh

1.	An electron’s mass is approximately 9.1093826 x 10-31 kilograms. What is its mass in grams?
Answer» Given mass of electron = 9.1093826 × 10^-31 kilograms We know that 1 kilogram = 1000 grams = 10³ grams. ⇒ Mass of electron = 9.1093826 × 10^-31 × 10³ We know that by properties of exponents, a^m × aⁿ = a^{m + n}. ⇒ 9.1093826 × 10^-31 × 10³ = 9.1093826 × 10^{-31 + 3} = 9.1093826 × 10^-28 ∴ Mass of electron in grams = 9.1093826 × 10^-28 grams

An electron’s mass is approximately 9.1093826 x 10-31 kilograms. What is its mass in grams?

Answer»

Given mass of electron = 9.1093826 × 10^-31 kilograms

We know that 1 kilogram = 1000 grams = 10³ grams.

⇒ Mass of electron = 9.1093826 × 10^-31 × 10³

We know that by properties of exponents, a^m × aⁿ = a^{m + n}.

⇒ 9.1093826 × 10^-31 × 10³

= 9.1093826 × 10^{-31 + 3}

= 9.1093826 × 10^-28

∴ Mass of electron in grams = 9.1093826 × 10^-28 grams