Question

how much land is the correct location. not all labels will be used.
the dimensions of a rectangular section of forest land are $5.5 \times 10^{3}$ meters and $4.2 \times 10^{3}$ meters. complete the following sentences.
$2.31 \times 10^{6}$
$2.31 \times 10^{4}$
$2.31 \times 10^{5}$
$23.1 \times 10^{6}$
$2.31 \times 10^{10}$
$23.1 \times 10^{10}$
square meters
square kilometers

the area of the land is ____ square meters in scientific notation.
we can represent this area as ____ square kilometers in scientific notation.
hint: 1 square kilometer is equal to $1 \times 10^{6}$ square meters.
the unit ____ is more appropriate to represent the area of the forest land in scientific notation.

Explanation:

Step1: Calculate area in square meters

$\text{Area} = (5.5 \times 10^3) \times (4.2 \times 10^3)$
$\text{Area} = (5.5 \times 4.2) \times (10^3 \times 10^3)$
$\text{Area} = 23.1 \times 10^6 = 2.31 \times 10^7$

Step2: Convert to square kilometers

Since $1\ \text{km}^2 = 1 \times 10^6\ \text{m}^2$,
$\text{Area (km}^2\text{)} = \frac{2.31 \times 10^7}{1 \times 10^6} = 2.31 \times 10^1 = 2.31 \times 10^1$

Step3: Select appropriate unit

Square kilometers are more appropriate for large land areas like forests.

Answer:

The area of the land is $\boldsymbol{2.31 \times 10^7}$ square meters in scientific notation.
We can represent this area as $\boldsymbol{2.31 \times 10^1}$ square kilometers in scientific notation.
The unit $\boldsymbol{\text{square kilometers}}$ is more appropriate to represent the area of the forest land in scientific notation.