Math / Numbers & Operations

QuestionUse the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated. $540 \mathrm{lb} \text { to } \mathrm{kg}$ $16 \mathrm{oz}=1 \mathrm{lb}$ $2000 \mathrm{lb}=1 \mathrm{~T}$ $1 \mathrm{oz} \approx 28 \mathrm{~g}$ $1 \mathrm{lb} \approx 0.45 \mathrm{~kg}$ $1 \mathrm{~T} \approx 0.9 \mathrm{t}$ $\square$ $540 \mathrm{lb}=$ $\square$ kg (Round to the nearest hundredth as needed.)

Studdy Solution

STEP 1

What is this asking? We need to convert 540 pounds (lbs) to kilograms (kg). Watch out! There are several conversion factors given, but we need to pick the most direct path to avoid unnecessary calculations and potential rounding errors.

STEP 2

1. Identify the relevant conversion factor.
2. Set up the conversion.
3. Perform the conversion.

STEP 3

We're given that $1 \text{ lb} \approx 0.45 \text{ kg}$ .
This is exactly what we need to go directly from pounds to kilograms!

STEP 4

We want to multiply our initial value of $540 \text{ lb}$ by a conversion factor that will "cancel out" the pounds and leave us with kilograms.
Since $1 \text{ lb}$ is approximately equal to $0.45 \text{ kg}$ , our conversion factor will be $\frac{0.45 \text{ kg}}{1 \text{ lb}}$ .
Notice how the units of "lb" will divide to one, leaving us with "kg"!

STEP 5

So, our setup looks like this: $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}}$

STEP 6

Now, we just need to multiply! $540 \cdot 0.45$ $= 243$

STEP 7

Don't forget the units!
Since the "lb" divided to one in the previous step, we're left with "kg". $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}} = 243 \text{ kg}$

STEP 8

$540 \text{ lb}$ is approximately equal to $243 \text{ kg}$ .

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Studdy Solution

STEP 1

What is this asking? We need to convert 540 pounds (lbs) to kilograms (kg). Watch out! There are several conversion factors given, but we need to pick the most direct path to avoid unnecessary calculations and potential rounding errors.

STEP 2

1. Identify the relevant conversion factor.
2. Set up the conversion.
3. Perform the conversion.

STEP 3

We're given that $1 \text{ lb} \approx 0.45 \text{ kg}$ .
This is exactly what we need to go directly from pounds to kilograms!

STEP 4

STEP 5

So, our setup looks like this: $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}}$

STEP 6

Now, we just need to multiply! $540 \cdot 0.45$ $= 243$

STEP 7

Don't forget the units!
Since the "lb" divided to one in the previous step, we're left with "kg". $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}} = 243 \text{ kg}$

STEP 8

$540 \text{ lb}$ is approximately equal to $243 \text{ kg}$ .

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Studdy Solution

STEP 1

What is this asking? We need to convert 540 pounds (lbs) to kilograms (kg). Watch out! There are several conversion factors given, but we need to pick the *most direct* path to avoid unnecessary calculations and potential rounding errors.

STEP 2

1. Identify the relevant conversion factor.2. Set up the conversion.3. Perform the conversion.

STEP 3

We're given that 1 lb≈0.45 kg1 \text{ lb} \approx 0.45 \text{ kg}1 lb≈0.45 kg.This is *exactly* what we need to go directly from pounds to kilograms!

STEP 4

STEP 5

So, our setup looks like this: 540 lb⋅0.45 kg1 lb540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}}540 lb⋅1 lb0.45 kg​

STEP 6

Now, we just need to **multiply**! 540⋅0.45540 \cdot 0.45540⋅0.45 =243= 243=243

STEP 7

Don't forget the units!Since the "lb" divided to one in the previous step, we're left with "kg". 540 lb⋅0.45 kg1 lb=243 kg540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}} = 243 \text{ kg}540 lb⋅1 lb0.45 kg​=243 kg

STEP 8

540 lb540 \text{ lb}540 lb is approximately equal to 243 kg243 \text{ kg}243 kg.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We need to convert 540 pounds (lbs) to kilograms (kg). Watch out! There are several conversion factors given, but we need to pick the most direct path to avoid unnecessary calculations and potential rounding errors.

1. Identify the relevant conversion factor.
2. Set up the conversion.
3. Perform the conversion.

We're given that $1 \text{ lb} \approx 0.45 \text{ kg}$ .
This is exactly what we need to go directly from pounds to kilograms!

So, our setup looks like this: $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}}$

Now, we just need to multiply! $540 \cdot 0.45$ $= 243$

Don't forget the units!
Since the "lb" divided to one in the previous step, we're left with "kg". $540 \text{ lb} \cdot \frac{0.45 \text{ kg}}{1 \text{ lb}} = 243 \text{ kg}$

$540 \text{ lb}$ is approximately equal to $243 \text{ kg}$ .