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Math  /  Numbers & Operations

Question1. Apply unit conversion techniques to the unit indicated in brackets: a) 673 m( km)673 \mathrm{~m} \quad(\mathrm{~km}) b) 120 cm( mm)120 \mathrm{~cm} \quad(\mathrm{~mm}) c) 89 mm( m)89 \mathrm{~mm} \quad(\mathrm{~m}) d) 20000 cm2( m2)20000 \mathrm{~cm}^{2}\left(\mathrm{~m}^{2}\right)

Studdy Solution

STEP 1

1. We are given measurements in various units and need to convert them to the specified units.
2. The conversion factors are: - 1 km=1000 m1 \text{ km} = 1000 \text{ m} - 1 m=100 cm1 \text{ m} = 100 \text{ cm} - 1 m=1000 mm1 \text{ m} = 1000 \text{ mm} - 1 m2=10000 cm21 \text{ m}^2 = 10000 \text{ cm}^2

STEP 2

1. Convert meters to kilometers.
2. Convert centimeters to millimeters.
3. Convert millimeters to meters.
4. Convert square centimeters to square meters.

STEP 3

Convert 673 m673 \text{ m} to kilometers.
673 m×1 km1000 m=0.673 km673 \text{ m} \times \frac{1 \text{ km}}{1000 \text{ m}} = 0.673 \text{ km}

STEP 4

Convert 120 cm120 \text{ cm} to millimeters.
120 cm×10 mm1 cm=1200 mm120 \text{ cm} \times \frac{10 \text{ mm}}{1 \text{ cm}} = 1200 \text{ mm}

STEP 5

Convert 89 mm89 \text{ mm} to meters.
89 mm×1 m1000 mm=0.089 m89 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} = 0.089 \text{ m}

STEP 6

Convert 20000 cm220000 \text{ cm}^2 to square meters.
20000 cm2×1 m210000 cm2=2 m220000 \text{ cm}^2 \times \frac{1 \text{ m}^2}{10000 \text{ cm}^2} = 2 \text{ m}^2
The converted values are: a) 0.673 km0.673 \text{ km} b) 1200 mm1200 \text{ mm} c) 0.089 m0.089 \text{ m} d) 2 m22 \text{ m}^2

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