Question

what is the approximate mass of a chicken egg? (hint: a one liter bottle of water = 1 kg)

○ $1 \times 10^{-4}$ kg

○ $1 \times 10^{-1}$ kg

○ $1 \times 10^{1}$ kg

○ $1 \times 10^{2}$ kg

Explanation:

Step1: Analyze the hint

A 1 - liter bottle of water has a mass of 1 kg, and the density of water is \(1\space kg/L\). A chicken egg has a volume that is much smaller than 1 liter. Let's consider the mass of a chicken egg. We know that a typical chicken egg has a mass around 50 - 70 grams.

Step2: Convert grams to kilograms

Since \(1\space kg=1000\space g\), then \(50\space g=\frac{50}{1000}\space kg = 0.05\space kg\approx1\times 10^{- 1}\space kg\) (because \(1\times10^{-1}=0.1\) and 0.05 is close to 0.1). The other options: \(1\times 10^{-4}\space kg = 0.0001\space kg\) (too light), \(1\times10^{1}\space kg = 10\space kg\) (too heavy), \(1\times10^{2}\space kg=100\space kg\) (way too heavy).

Answer:

B. \(1\times10^{-1}\space kg\) (assuming the options are labeled as A: \(1\times10^{-4}\space kg\), B: \(1\times10^{-1}\space kg\), C: \(1\times10^{1}\space kg\), D: \(1\times10^{2}\space kg\))