The dimensions of a rectangular section of forest land are 5.5 x 105 meters and 4.2 x 104 meters. Complete the following sentences. 2.31 x 10
2.31 x 10"
2.31 x 105
23.1 x 10°
2.31 x 1010
23.1 x 1010
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 * 10 square meters,
The unit
is more appropriate to represent the area of the forest land in scientific notation
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The complete sentence is presented as follows;

The area of the land is 2.31 × 10¹⁰ square meters in scientific notation

We can represent this area as 2.31 × 10⁴ square kilometers

Explanation:

The question relates to Laws of indices specifically in powers of 10

The given parameters of the dimensions of the rectangular section of forest land are;

5.5 × 10⁵ meters by 4.2 × 10⁴ meters

Therefore, the area, "A" the rectangular section of forest land is A = 5.5 × 10⁵ m × 4.2 × 10⁴ m = 2.31 × 10¹⁰ m²

1 km² = 1 × 10⁶ m²

∴ 2.31 × 10¹⁰ m² = 2.31 × 10¹⁰/(1 × 10⁶) km² = 2.31 × 10¹⁰ ⁻ ⁶ km² = 2.31 × 10⁴ km²

2.31 × 10¹⁰ m² = 2.31 × 10⁴ km²

Therefore, the complete sentence, can be written as follows;

The area of the land is 2.31 × 10¹⁰ square meters in scientific notation

We can represent this area as 2.31 × 10⁴ square kilometers.