Weight Units: Basic conversion

Examples with solutions for Weight Units: Basic conversion

Exercise #1

8.6kg=?gr 8.6kg=?gr

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information and conversion factor
  • Step 2: Apply the conversion factor to obtain the result in grams

Let's work through these steps:
Step 1: We have 8.6kg 8.6 \, \text{kg} to convert to grams. Recall that 1kg 1 \, \text{kg} equals 1000grams 1000 \, \text{grams} .
Step 2: Multiply the given kilograms by the conversion factor to convert to grams:
8.6kg×1000grams/kg=8600grams 8.6 \, \text{kg} \times 1000 \, \text{grams/kg} = 8600 \, \text{grams}

Therefore, the solution to the problem is 8600grams 8600 \, \text{grams} .

Answer

8600 8600

Exercise #2

7kg=?gr 7kg=?gr

Video Solution

Step-by-Step Solution

To solve this problem of converting kilograms to grams, we will follow these steps:

  • Step 1: Identify the given weight in kilograms.
  • Step 2: Use the conversion factor 1 kg=1000 g 1 \text{ kg} = 1000 \text{ g} .
  • Step 3: Perform the necessary multiplication.

Let's go through these steps in detail:
Step 1: We have been given a weight of 7 7 kilograms.
Step 2: Recall that 1 kilogram=1000 grams 1 \text{ kilogram} = 1000 \text{ grams} .
Step 3: Multiply the number of kilograms by the conversion factor: 7 kg×1000 g/kg=7000 g 7 \text{ kg} \times 1000 \text{ g/kg} = 7000 \text{ g} This calculation confirms that 7 7 kilograms is equivalent to 7000 7000 grams.

Therefore, the solution to the problem is 7000 grams 7000 \text{ grams} .

Answer

7000 7000

Exercise #3

7.8T=?kg 7.8T=?kg

Video Solution

Step-by-Step Solution

The letter T indicates a metric tonne,

One tonne is equivalent to one thousand kilograms,

Therefore, in 7.8 tons there are

1000*7.8 = 7800 kg

Answer

7800 7800

Exercise #4

3.21kg=?gr 3.21kg=?gr

Video Solution

Step-by-Step Solution

To solve this problem, we will convert the weight from kilograms to grams.

We know that 1kg=1,000g1\, \text{kg} = 1,000\, \text{g}. Therefore, to convert the weight from kilograms to grams, we multiply the weight in kilograms by 1,000.

With the given weight 3.21kg3.21\, \text{kg}, we perform the calculation as follows:

  • Multiply 3.213.21 by 1,0001,000:

3.21×1,000=3,210 3.21 \times 1,000 = 3,210

After performing this calculation, we find that 3.21kg3.21 \, \text{kg} is equivalent to 3,210g3,210\, \text{g}.

Therefore, the solution to the problem is 3,2103,210.

Comparing this result with the given multiple choice answers, the correct choice is option (3): 3,2103,210.

Answer

3,210 3,210

Exercise #5

x2kg=?gr x^2kg=?gr

Video Solution

Step-by-Step Solution

To convert x2 x^2 kilograms to grams, follow these steps:

  • Step 1: Start from the given expression in kilograms, which is x2 kg x^2 \text{ kg} .
  • Step 2: Use the conversion factor: 1 kg=1000 gr 1 \text{ kg} = 1000 \text{ gr} .
  • Step 3: Multiply the given x2 x^2 by 1000 to convert it into grams.

Performing the multiplication, we have:
x2×1000=1000x2 x^2 \times 1000 = 1000x^2

Therefore, the weight in grams is 1000x2 1000x^2 .

The correct choice corresponding to this result is:

  • Choice 1: 1000x2 1000x^2

In summary, the equivalent of x2 x^2 kilograms in grams is 1000x2 1000x^2 .

Answer

1000x2 1000x^2

Exercise #6

38714kg=?T 387\frac{1}{4}kg=?T

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the mixed number into a decimal.
  • Step 2: Use the correct conversion factor to translate kilograms into metric tons.

Let's begin the conversion:


Step 1: Convert the given weight 38714 387\frac{1}{4} kilograms into a decimal.
To convert 38714 387\frac{1}{4} , decode the mixed number: 14=0.25 \frac{1}{4} = 0.25 , so 38714=387+0.25=387.25 387\frac{1}{4} = 387 + 0.25 = 387.25 kg.

Step 2: Use the conversion factor 1 metric ton=1000 kg 1 \text{ metric ton} = 1000 \text{ kg} to convert kilograms into metric tons.
Calculate by dividing the kilograms by 1000:
387.25 kg÷1000=0.38725 metric tons.387.25 \text{ kg} \div 1000 = 0.38725 \text{ metric tons}.

Therefore, the weight of 38714 387\frac{1}{4} kg is equivalent to 0.38725 0.38725 metric tons.

Answer

0.38725 0.38725