Section 1.15  Interactive checkpoint: conversions  
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Farmer Betty’s farm covers 3570 acres of land. Express this area in square meters using scientific notation.
1 acre = 4.05×10−3 km2.
 

This interactive checkpoint allows you to practice scientific notation. The “e” symbol indicates that the leading value is multiplied by 10 raised to the power of the number that follows. For example, 1.35 e −6 is equal to 1.35 × 10−6.

Here you will input the power into a separate box after the “e.” In all other interactive checkpoints, the entire number (the leading value, e, and the power) is input into one box.

 

Answer:

A = e m2

You can enter your answer and push the check button at any time.
 
Diagram  [Hide]

Variables  [Hide]

Fill in the known values.

Variable

Value
area of farm

A = acres

I think I'm done. I need help. Show the correct values.
 
Strategy  [Hide]
  1. Express the farm’s area in scientific notation.
  2. Convert from acres to square meters of area.
Physics principles and equations  [Hide]

1 km2 = 100 hectares

1 acre = 4.05×10–3 km2

Step-by-step solution   [Hide]

Express A in scientific notation

A = e acres
2

Select the equation to convert acres to SI units.

Convert A to square kilometers

A = (3.57e3 acres)( e km2/acre)

A = e km2

Convert A to square meters

A = (1.45e1 km2)(1 e m/km)2

A = (1.45e1 km2)(1 e m2/km2)

A = e m2

 

  
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