Exercise 1

Convert each measurement to square decimetres:

0.027 dam^2

2  0.35 m^2

3   438 cm^2

 90,000 mm^2

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Exercise 2

Convert each measurement to square meters:

1  5hm^2 24dam^2 60 dm^2 72 cm^2

2  0.00351 km^2 + 4, 700 cm^2

3   0.058 hm^2 - 3.321 m^2

Exercise 3

Convert each measurement to hectares:

431,943 a

2  586,500 m^2

3  0.325 km^2

4  7 km^2 31 hm^2 50 dam^2

5   51 m^2 33 dm^2 70 cm^2

Exercise 4

Calculate:

1  0.03598 km^2 + 96.45 ha + 5000 a

2  179.72 m^2 - 0.831 dam^2

3  52 dam^2 31 m^2 500 cm^2

 

Exercise 5

Convert each measurement to cubic meters:

7,200 dm^3 + (3.5 m^3 4,600 dm^3)

2  0.015 hm^3 - (570 m^3 5.3 dm^3)

 

Solution of exercise 1

Convert each measurement to square decimetres:

1  0.027 dam^2

0.027 \cdot 10,000 = 270 dm^2

 

2  0.35 m^2

0.35 \cdot 100 = 35 dm^2

 

3   438 cm^2

\frac {438}{100} = 4.38 dm^2

 

4   90,000 mm^2

\frac {90000}{10000} = 9 dm^2

 

Solution of exercise 2

Convert each measurement to square meters:

1  5hm^2 24dam^2 60 dm^2 72 cm^2

= 50,000 m^2 + 2,400 m^2 + 0.60 m^2 + 0.0072 m^2

=52,400.6072 m^2

 

2  0.00351 km^2 + 4, 700 cm^2

= 3,510 m^2 + 0.47 m^2 = 3,510.47 m^2

 

3   0.058 hm^2 - 3.321 m^2

= 580 m^2 - 3.321 m^2 = 576.679 m^2

Solution of exercise 3

Convert each measurement to hectares:

1  431,943 a

\frac {431943}{100} = 4319.43 ha

 

586,500 m^2

= \frac {586500}{10000} = 58.65 hm^2 = 58.65 ha

 

0.325 km^2

\frac {0.325}{100} = 32.5 hm^2 = 32.5 ha

 

4  7 km^2 31 hm^2 50 dam^2

7 \cdot 100 + 31 + 50 : 100 = 731.5 hm^2 = 731.5 ha

 

5   51 m^2 33 dm^2 70 cm^2

= \frac {51}{10000} + \frac {33}{1000,000} + \frac {10}{100,000,000}

= 0.00513310 hm^2

= 0.00513310 ha

 

Solution of exercise 4

Calculate:

1  0.03598 km^2 + 96.45 ha + 5000 a

= 3.5698 hm^2 + 96.45 ha + 50hm^2

= 150.0198 hm^2

= 1 km^2 50 hm^2 dam^2 98 m^2

 

2  179.72 m^2 - 0.831 dam^2

179.72m^2 - 83.1 m^2 = 96.62 m^2 = 96 m^2 621 dm^2

 

52 dam^2 31 m^2 500 cm^2

= 5,200 m^2 + 31m^2 + 0.05 m^2 = 5,231.05

= 52 dam^2 31 m^2 5 dm^2

 

Solution of exercise 5

Convert each measurement to cubic meters:

1  7,200 dm^3 + (3.5 m^3 4,600 dm^3)

= 7.2 m^3 + 3.5 m^3 + 4.6 m^3 = 15.3 m^3

 

2  0.015 hm^3 - (570 m^3 5.3 dm^3)

= 15,000 m^3 - 570.0053 m^3 - 14, 429.9947 m^3

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.