QuestionConvert the following measurements to the units in brackets: a) $2820 \mathrm{~m}(\mathrm{~km})=$ b) $50 \mathrm{~cm}(\mathrm{~mm})=$ Also, express $6 \mathrm{~cm} 9 \mathrm{~mm}$ in a single unit.

Studdy Solution

STEP 1

Assumptions1. We are converting units of length. . We know the conversion factors between the units a)1 kilometer (km) is equal to1000 meters (m). b)1 centimeter (cm) is equal to10 millimeters (mm).
3. For the second part of the problem, we are adding lengths given in different units (cm and mm).

STEP 2

First, we need to convert meters to kilometers. We can do this by dividing the number of meters by the conversion factor.
$2820\, m =2820\, m /1\, km$

STEP 3

Now, plug in the given value for the conversion factor to calculate the length in kilometers.
$2820\, m =2820\, m /1000\, m$

STEP 4

Calculate the length in kilometers.
$2820\, m =2.82\, km$

STEP 5

Next, we need to convert centimeters to millimeters. We can do this by multiplying the number of centimeters by the conversion factor.
$50\, cm =50\, cm \times1\, mm$

STEP 6

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$50\, cm =50\, cm \times10\, mm$

STEP 7

Calculate the length in millimeters.
$50\, cm =500\, mm$

STEP 8

For the second part of the problem, we need to add the lengths given in different units. First, we convert all lengths to the same unit. Let's convert cm to mm.
$6\, cm =6\, cm \times1\, mm$

STEP 9

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$6\, cm =6\, cm \times\, mm$

STEP 10

Calculate the length in millimeters.
$6\, cm =60\, mm$

STEP 11

Now, we add the two lengths together.
$Total\, length =60\, mm +9\, mm$

STEP 12

Calculate the total length.
$Total\, length =69\, mm$ So, the solutions are. a) $2820\, m =2.82\, km$ b) $50\, cm =500\, mm$
2. $6\, cm +9\, mm =69\, mm$

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QuestionConvert the following measurements to the units in brackets: a) $2820 \mathrm{~m}(\mathrm{~km})=$ b) $50 \mathrm{~cm}(\mathrm{~mm})=$ Also, express $6 \mathrm{~cm} 9 \mathrm{~mm}$ in a single unit.

Studdy Solution

STEP 1

Assumptions1. We are converting units of length. . We know the conversion factors between the units a)1 kilometer (km) is equal to1000 meters (m). b)1 centimeter (cm) is equal to10 millimeters (mm).
3. For the second part of the problem, we are adding lengths given in different units (cm and mm).

STEP 2

First, we need to convert meters to kilometers. We can do this by dividing the number of meters by the conversion factor.
$2820\, m =2820\, m /1\, km$

STEP 3

Now, plug in the given value for the conversion factor to calculate the length in kilometers.
$2820\, m =2820\, m /1000\, m$

STEP 4

Calculate the length in kilometers.
$2820\, m =2.82\, km$

STEP 5

Next, we need to convert centimeters to millimeters. We can do this by multiplying the number of centimeters by the conversion factor.
$50\, cm =50\, cm \times1\, mm$

STEP 6

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$50\, cm =50\, cm \times10\, mm$

STEP 7

Calculate the length in millimeters.
$50\, cm =500\, mm$

STEP 8

For the second part of the problem, we need to add the lengths given in different units. First, we convert all lengths to the same unit. Let's convert cm to mm.
$6\, cm =6\, cm \times1\, mm$

STEP 9

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$6\, cm =6\, cm \times\, mm$

STEP 10

Calculate the length in millimeters.
$6\, cm =60\, mm$

STEP 11

Now, we add the two lengths together.
$Total\, length =60\, mm +9\, mm$

STEP 12

Calculate the total length.
$Total\, length =69\, mm$ So, the solutions are. a) $2820\, m =2.82\, km$ b) $50\, cm =500\, mm$
2. $6\, cm +9\, mm =69\, mm$

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QuestionConvert the following measurements to the units in brackets: a) 2820 m( km)=2820 \mathrm{~m}(\mathrm{~km})=2820 m( km)= b) 50 cm( mm)=50 \mathrm{~cm}(\mathrm{~mm})=50 cm( mm)= Also, express 6 cm9 mm6 \mathrm{~cm} 9 \mathrm{~mm}6 cm9 mm in a single unit.

Studdy Solution

STEP 1

Assumptions1. We are converting units of length. . We know the conversion factors between the units a)1 kilometer (km) is equal to1000 meters (m). b)1 centimeter (cm) is equal to10 millimeters (mm).3. For the second part of the problem, we are adding lengths given in different units (cm and mm).

STEP 2

First, we need to convert meters to kilometers. We can do this by dividing the number of meters by the conversion factor.2820 m=2820 m/1 km2820\, m =2820\, m /1\, km2820m=2820m/1km

STEP 3

Now, plug in the given value for the conversion factor to calculate the length in kilometers.2820 m=2820 m/1000 m2820\, m =2820\, m /1000\, m2820m=2820m/1000m

STEP 4

Calculate the length in kilometers.2820 m=2.82 km2820\, m =2.82\, km2820m=2.82km

STEP 5

Next, we need to convert centimeters to millimeters. We can do this by multiplying the number of centimeters by the conversion factor.50 cm=50 cm×1 mm50\, cm =50\, cm \times1\, mm50cm=50cm×1mm

STEP 6

Now, plug in the given value for the conversion factor to calculate the length in millimeters.50 cm=50 cm×10 mm50\, cm =50\, cm \times10\, mm50cm=50cm×10mm

STEP 7

Calculate the length in millimeters.50 cm=500 mm50\, cm =500\, mm50cm=500mm

STEP 8

For the second part of the problem, we need to add the lengths given in different units. First, we convert all lengths to the same unit. Let's convert cm to mm.6 cm=6 cm×1 mm6\, cm =6\, cm \times1\, mm6cm=6cm×1mm

STEP 9

Now, plug in the given value for the conversion factor to calculate the length in millimeters.6 cm=6 cm× mm6\, cm =6\, cm \times\, mm6cm=6cm×mm

STEP 10

Calculate the length in millimeters.6 cm=60 mm6\, cm =60\, mm6cm=60mm

STEP 11

Now, we add the two lengths together.Total length=60 mm+9 mmTotal\, length =60\, mm +9\, mmTotallength=60mm+9mm

STEP 12

Calculate the total length.Total length=69 mmTotal\, length =69\, mmTotallength=69mmSo, the solutions are. a) 2820 m=2.82 km2820\, m =2.82\, km2820m=2.82km b) 50 cm=500 mm50\, cm =500\, mm50cm=500mm2. 6 cm+9 mm=69 mm6\, cm +9\, mm =69\, mm6cm+9mm=69mm

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QuestionConvert the following measurements to the units in brackets: a) $2820 \mathrm{~m}(\mathrm{~km})=$ b) $50 \mathrm{~cm}(\mathrm{~mm})=$ Also, express $6 \mathrm{~cm} 9 \mathrm{~mm}$ in a single unit.

Assumptions1. We are converting units of length. . We know the conversion factors between the units a)1 kilometer (km) is equal to1000 meters (m). b)1 centimeter (cm) is equal to10 millimeters (mm).
3. For the second part of the problem, we are adding lengths given in different units (cm and mm).

First, we need to convert meters to kilometers. We can do this by dividing the number of meters by the conversion factor.
$2820\, m =2820\, m /1\, km$

Now, plug in the given value for the conversion factor to calculate the length in kilometers.
$2820\, m =2820\, m /1000\, m$

Calculate the length in kilometers.
$2820\, m =2.82\, km$

Next, we need to convert centimeters to millimeters. We can do this by multiplying the number of centimeters by the conversion factor.
$50\, cm =50\, cm \times1\, mm$

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$50\, cm =50\, cm \times10\, mm$

Calculate the length in millimeters.
$50\, cm =500\, mm$

For the second part of the problem, we need to add the lengths given in different units. First, we convert all lengths to the same unit. Let's convert cm to mm.
$6\, cm =6\, cm \times1\, mm$

Now, plug in the given value for the conversion factor to calculate the length in millimeters.
$6\, cm =6\, cm \times\, mm$

Calculate the length in millimeters.
$6\, cm =60\, mm$

Now, we add the two lengths together.
$Total\, length =60\, mm +9\, mm$

Calculate the total length.
$Total\, length =69\, mm$ So, the solutions are. a) $2820\, m =2.82\, km$ b) $50\, cm =500\, mm$
2. $6\, cm +9\, mm =69\, mm$